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Abstract High-Concurrency Locking in R-Trees

Abstract High-Concurrency Locking in R-Trees
Abstract High-Concurrency Locking in R-Trees

High-Concurrency Locking in R-Trees

Marcel Kornacker

Universit¨a t Hamburg

22527Hamburg,Germany kornacke@https://www.doczj.com/doc/8c8623308.html,rmatik.uni-hamburg.de

Douglas Banks University of California at Berkeley Berkeley,CA94720-1776,U.S.A dbanks@https://www.doczj.com/doc/8c8623308.html,

Abstract

In this paper we present a solution to the problem of concurrent op-erations in the R-tree,a dynamic access structure capable of storing multidimensional and spatial data.We describe the R-link tree,a variant of the R-tree that adds sibling pointers to nodes,a technique ?rst deployed in B-link trees,to compensatefor concurrent structure modi?cations.The main obstacle to the use of sibling pointers is the lack of linear ordering among the keys in an R-tree;we overcome this by assigning sequence numbers to nodes that let us reconstruct the“lineage”of a node at any point in time.The search,insert and delete algorithms for R-link trees are designed to completely avoid holding locks during I/O operations and to allow concurrent modi?-cations of the tree structure.In addition,we further describe how to achieve degree3consistency with an inexpensive predicate locking mechanism and demonstrate how to make R-link trees recoverable in a write-ahead logging environment.Experiments verify the per-formance advantage of R-link trees over simpler locking protocols. 1Introduction

One of the future requirements for databases is the ability to support multidimensional and spatial data.This support is crucial for non-traditional database applications such as CAD,Geographical Information Systems(GIS)or temporal databases,to name a few.A fundamental aspect of support for spatial data is ef?cient handling of range queries along multiple dimensions;one example is the retrieval of points that intersect a given query rectangle.The most widespread This work was done while the author was visiting the University of California,Berkeley.It was supported by the Defense Advanced Re-search Projects Agency under grant T63-92-C-0007and the Army Research Of?ce under grant91-G-1083.The author’s new address:University of California at Berkeley,Berkeley,CA94720-1776,U.S.A.;e-mail:mar-cel@https://www.doczj.com/doc/8c8623308.html,.

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Proceedings of the21st VLDB Conference

Z¨urich,Switzerland1995access method,the B-tree[BaMc72],does not handle multi-dimensional data very well.

[Gutt84]proposed a spatial access method designed to handle multidimensional point and spatial data.Unlike other spatial access methods[Bent75,Niev84,Robi81,LoSa90], R-trees are not restricted to storing multidimensional points, but can directly store multidimensional spatial objects,which are represented by their minimal bounding box.R-trees have not bene?ted greatly from the many re?nements and opti-mizations of concurrency mechanisms that have been de-signed for B-trees.A particular modi?cation of B-trees,the B-link tree[LeYa81],connects the siblings on each level via rightward-pointing links and compensates for un?nished splits by moving across these links.This technique avoids holding locks during I/O operations and has recently been shown to offer the highest degree of concurrency among locking protocols for B-trees[SrCa91,JoSh93].Unfortu-nately,the B-link tree technique expects the underlying key space to have a linear order and therefore cannot be directly applied to R-trees.

In this paper we present R-link trees[BKS94],an exten-sion of R-trees motivated by Lehman and Yao’s work that shows similiar locking behavior and therefore offers the same high degree of concurrency as B-link trees.We circumvent the requirement for linearly ordered keys by introducing a system of sequence numbers that are assigned to each page and are used to determine when and how to traverse sibling links.Our deletion algorithm removes nodes as soon as they become empty without the need for a separate reorganization phase,a novel feature for link-style trees.

The remainder of this paper is organized as follows.Sec-tion2provides background on R-trees and B-link trees.Sec-tion3goes into detail on the dif?culties in applying the struc-tural modi?cation of B-link trees to R-trees,presents the for-mal de?nition of an R-link tree and describes the search and insert algorithms.It also sketches the deletion algorithm. Section4shows how to make scan results serializable.Next, section5presents a way to make R-link trees recoverable in a write-ahead logging environment.Section6presents perfor-mance results and section7provides a discussion of related

work.Finally,section8gives a brief summary.

2Background and Motivation

2.1R-Trees

An R-tree is a hierarchical,height-balanced indexing struc-ture similar to a B-tree.Like B-trees,R-trees have leaf nodes and internal nodes with entries in leaf node pointing to disk records and entries in internal nodes pointing to other internal nodes or leaf nodes.A node corresponds to a disk page and has between and entries().The only ex-ception is the root,which may hold between and entries. Unlike in B-trees,the keys in R-trees are multi-dimensional objects that have no linear order de?ned on them.

An entry in a leaf node of an R-tree contains a disk tu-ple identi?er and the key,which is either a multidimensional point or a rectangular outline of the spatial object it repre-sents.An entry in an internal node summarizes the node it points to by storing as the key the minimum bounding rect-angle that tightly encloses all the keys in the child node. The information contained in an R-tree is thus hierarchi-cally organized and every level in the tree provides more detail than its ancestor level.A pointer to an indexed ob-ject is stored in the tree only once,but keys at all levels are allowed to overlap,possibly making it necessary even for point queries to descend multiple subtrees.Since multidi-mensional keys cannot be linearly ordered there is no single “correct”place for a particular key;consequently,it can con-ceivably be stored on any leaf.

The search process in an R-tree is very different from that in a B-tree due to the lack of ordering and the possible overlap among keys.For example,to?nd all rectangles intersecting a given range the search process has to descend all subtrees that intersect or fully contain the range speci?cation.Further-more,since an entry in an internal node summarizes the child node with a bounding rectangle,there is no guarantee that the child contains any keys of interest,even if its bounding rect-angle intersects the search range.

The strategy for placing entries on leaf nodes should there-fore create an ef?cient index structure that optimizes retrieval performance.The literature has identi?ed a variety of pa-rameters for the layout of keys on nodes that affect retrieval performance[BKSS90,SRF87].These parameters are:min-imal node area,minimal overlap between nodes,minimal node margins or maximized node utilization.It is impossible to optimize all of these parameters simultaneously.For in-stance,the original R-tree proposal[Gutt84]minimizes over-lap between nodes;the R*-tree variation[BKSS90]mini-mizes overlap for internal nodes and minimizes the covered area for leaf nodes.

When a new key has to be inserted in an R-tree,we attempt to descend to the geometrically optimal leaf by picking at each level the subtree with the optimal bounding rectangle. In contrast to B-trees,R-trees have to recursively update the ancestor keys if a leaf’s bounding rectangle changes. Splitting a node also deviates noticeably from the B-tree pattern.Whereas the B-tree simply“cuts”the sequence of keys stored in the over?owing node in half,the R-tree will partition the key sequence according to its layout strategy. Figure1illustrates the scenario of a split where the layout strategy is minimal overlap.Note in this example that it is impossible to completely avoid any overlap.

2.2Concurrency in B-Trees

When multiple search and insertion processes are carried out on a B-Tree in parallel,their interactions may be interleaved in a way that leads to incorrect results.Simple solutions to this problem have the insertion process lock the entire tree or the subtree that needs to be modi?ed due to anticipated splits.V ariations thereof lock the upper levels of the subtree so that only readers can still access it[BaSc77].In essence all of these methods employ top-down lock-coupling:when descending the tree a lock on a parent node can only be re-leased after the lock on the child node is granted.When doing lock-coupling,locks are held during I/O operations,which should be particularly detrimental to high concurrency of in-sert and delete operations in R-trees.When descending the tree via lock-coupling,locks can be acquired in shared mode, allowing many search and update operations to descend the tree concurrently.But update operations can block on cou-pled read locks during tree ascent.For B-trees,tree ascent only takes place as a result of a node split or deletion.For R-trees,it also takes place in order to propagate a changed bounding rectangle.The latter can be expected to occur far more frequently and unpredictably than node splits or dele-tions.

A radically different approach was proposed in[LeYa81]. Instead of avoiding possible con?icts by lock-coupling,the tree structure is modi?ed so that the search process has the opportunity to compensate for a missed split.The crucial addition is the rightlink,a pointer going from every node to its right sibling on the same level(excluding the rightmost nodes).When a node is split and a new right sibling is cre-ated,it is inserted into the rightlink chain directly to the right of the old one.The effect is that all nodes at the same level are chained together through the rightlinks.Furthermore,the sequence of the nodes in the rightlink chain re?ects the se-quence of their corresponding entries in the ancestor level; in short,the rightlink chain orders the nodes by their keys. This is true for every level of the B-Tree and is a result of the splitting strategy in B-Trees,where the upper half of the key sequence is moved to the new right sibling.

Searching in a B-link tree can therefore be done without lock-coupling.When descending to a node that was split after examining the parent,the search process discovers that the highest key on that node is lower than the key it is looking for and correctly concludes that a split must have taken place. It compensates for this split,or multiple splits,by moving

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right until it comes to a node where the highest key exceeds the search key.Likewise,an insertion process does not have to employ lock-coupling when descending the tree to the correct leaf.If the leaf has to be split,it is also possible to avoid lock-coupling when installing a new entry in the parent,as is shown in [LaSh86]and [Sagi86].As soon as the page has been split and the new right sibling inserted into the rightlink chain,the insertion process can drop the lock on the leaf that was over?owing and then acquire a lock on the parent,possibly moving right to compensate for concurrent splits and possibly splitting the parent itself,leading to recursive splits up the tree.This locking strategy is deadlock-free and offers very high concurrency because search and insertion processes only need to hold one node locked at a time.

3R-Link Trees

We would like to achieve high concurrency for operations on R-trees,and given the similarities in structure and function-ality between B-trees and R-trees,it would seem natural to try to apply the ideas and algorithms of [LeYa81]to create an “R-link tree.”This is not a trivial matter,however,because R-trees differ from B-trees on a number of important points and the B-link tree strategy itself is insuf?cient.

The source of this problem is the lack of ordering on R-tree keys.The core of the link-tree strategy is to account for splits that have not updated the parent by moving to the right.To implement that strategy we must answer two questions:how do we detect that the child has split and how do we limit the extent to which we move right.For R-trees,the latter question is not only relevant for ef?ciency,it is relevant because we descend multiple subtrees and may therefore end up visitingthe same node twice if we move too far to the right.For B-link trees,the answer to those questions lies in the linear ordering that is de?ned on the key space and the fact that the nodes on a single level are ordered through the rightlink chain by their keys.This allows us to detect a split and to determine when to stop moving right based on key comparisons.It is impossible to apply the same strategy to R-trees.First of all,keys cannot conclusively tell us when a node has split.It is possible that the key of an entry in the parent intersects the search range,even if the keys in the child do not.In this case,it would be wrong to conclude that the child has split and move https://www.doczj.com/doc/8c8623308.html,ing a notion analogous

to the high key in a B-tree,we could also recompute the bounding rectangle of the child node and compare that to the key seen in the parent in order to detect a split.Doing so might cause us to miss a split because taking entries out of a node does not necessarily change its bounding rectangle (see ?gure 1).But even if we are sure that a node has split,it is impossible to limit the extent to which we move right by doing key comparisons.Adjacent nodes in the rightlink chain might have a bounding rectangle that intersects our search range,even though they did not take part in the split we detected.As mentioned before,we must not visit these nodes via rightlink traversal because we will visit them later on while searching a different path in the tree.

We need to provide each operation on an R-tree with a way of determining whether it has accurate information about the current state of any node it might examine,and how it should proceed if it ?nds that its information is obsolete.3.1Structure of an R-Link Tree

Clearly,if we are to provide high concurrency operations on R-trees through a rightlink-style approach,we need to add some additional information to the standard R-tree that can be used to correctly traverse a constantly-changing tree struc-ture.We propose ful?lling this requirement by assigning log-ical sequence numbers (LSNs)to each node.These numbers are similar to timestamps in that they monotonically increase over time but are not synchronous with any real-time clock.The node entries and the search and insert algorithms are de-signed so that these LSNs can be used to make correct deci-sions about how to move through the tree.

An R-link tree is basically a standard R-tree,as described in section 2.1,with two key differences.First,like a B-link tree,all of the nodes on any given level are chained together in a singly-linked list via rightlinks.It is very important to note that,unlike the B-link tree,the chain of nodes on a given level does not represent an ordering of the keys from smallest to greatest,and,in general,it will not re?ect the ordering of their corresponding entries in the nodes on the parent level.This is illustrated in ?gure 2.In the rightlink chain of the parent level,precedes .However,,which is a child of ,does not precede .This situation can arise if splits and moves the entry for over to the new right sibling,.Second,the main structural addition is an LSN in each node that is unique within the tree.These LSNs give us a

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Figure 2:A subsection of an R-link tree (circled numbers are LSNs).

mechanism for determining when an operation’s understand-ing of a given node is obsolete.Each entry in a node con-sists of a key rectangle,a pointer to the child node and the LSN that it expects the child node to have.If a node has to be split,the new right sibling is assigned the old node’s LSN and the old node receives a new LSN.A process traversing the tree can detect the split even if it has not been installed in the parent by comparing the expected LSN,as taken from the entry in the parent node,with the actual LSN.If the lat-ter is higher than the former,there was a split and the process moves right.When the process ?nally meets a node with the expected LSN,it knows that this is the rightmost node split off the old node.

R-link trees can be formally de?ned as a balanced tree in which index nodes consist of a set of entries and a rightlink .On each level of the tree the rightlinks form the nodes on that level into a singly-linked list.Entries on internal nodes consist of a key rectangle ,a pointer ,and an expected LSN so that either:

1.(normal case –child-level structure fully re?ected in par-ent)

points to a child node ,where is the LSN of ,and the rightlink of points to NULL or to some node which is also pointed to by some entry in the level above.In ?gure 2,entry points to node ;both ’s LSN and ’s LSN are matching and ’s rightlink points to ,which is also pointed to by entry in .

2.(uninstalled split in child level compensated by rightlink)

points to a child node ,where the LSN of is greater than ,and there exists a node whose LSN is ,which can be reached by following rightlinks from through nodes with LSNs higher than which are not pointed to by any entry in the level above.also has no entry in the level above,but its right sibling,if is not the end of the chain,does.An example from ?gure 2is the entry in .The LSN in is smaller than that of and equal to the LSN of ,which in turn can be reached from by following one rightlink.Node does not yet have an entry in the level above,but its right sibling,node ,is

pointed to by entry in .This situation was caused by a split of node ,which has not yet been installed in the parent node.

Note that in either case,the right sibling R of the node whose LSN matches the entry’s expected LSN has an entry in some node on the parent level.This entry can generally be anywhere in the parent level.Node in ?gure 2is an example where this entry is in a node to the left of the parent node of .

3.2The Search Algorithm

A search process has to ?nd all the entries on leaf nodes that fall in the query range,and since keys can overlap,it will generally have to descend multiple subtrees within the index.The underlying data structure to support this is a stack,which is used to remember which nodes still have to be visited.The process starts by initially pushing the root on the stack.A node that has not yet been examined is popped off the stack and all entries in the node that qualify for the search condition are in turn pushed onto the stack and the whole process is repeated.If a leaf node is popped off the stack,we can return the qualifying entries that we ?nd on it.The search is terminated when the stack is empty.

In order to remember a yet-to-be visited node on the stack,we push the pointer and the LSN we found in the correspond-ing entry.If we examine a node and ?nd that the LSN is higher than the one on the stack,we know that this node has been split in the meantime.To compensate for the split we must examine all of the nodes that have been split off from this node since we ?rst pushed its entry.Therefore we push nodes to the right of ,up to and including the node with the LSN equal to the expected LSN for .

The search process,as shown in ?gure 3is implemented with an iterator-like interface.The ?rst call to search will return the ?rst record and subsequent calls to continueSearch will return all other matching items until the stack is empty.

3.3The Insertion Algorithm

An insertion proceeds in two stages:?rst we must locate the leaf to insert the key on,remembering the path we take as

search(Rect r):

push(stack,[root,root-lsn])

return reduceStack(r)

continueSearch(Rect r):

return reduceStack(r)

reduceStack(Rect r):

while not empty(stack)

[p,p-lsn]=pop(stack)

if(p is pointer to indexed tuple)

return p

else

r-lock(p)

if p-lsn LSN(p)

traverse the rightlink chain

starting at rightlink(p)

to the node with

LSN=p-lsn;

for each node n along the

rightlink chain:

r-lock(n)

push(stack,[n,LSN(n)])

r-unlock(n)

end

for all entries e of p

intersecting r:

push(stack,

[node-pointer(e),LSN(e)])

r-unlock(p)

end

end

Figure3:The search algorithm

we descend the tree;next,then the new key is inserted and the leaf possibly split.If the leaf’s bounding rectangle has changed,we must propagate the change to its ancestor node. This is accomplished by backing up the tree until we arrive at a parent node that does not need to be changed.If the leaf was split we must also install a new entry in the parent node. If it is full,we recursively split nodes up the tree until we arrive at a node with enough free space or alternatively split the root.Note that in contrast to a B-tree insertion,we must back up the tree for two reasons:splitting a node requires the installation of a new entry and changing the bounding rectangle requires the adjustment of the keys in the ancestor nodes.1The latter step is missing in B-trees.

When descending the tree to a leaf,we choose the geomet-rically optimal subtree at each level.However,if we detect that a node has been split,we must take into consideration all the nodes to the right of the original node that were split off it. As in the search algorithm,this chain is delimited to the right by the node carrying the original LSN.When we are updat-1These two changes have to be applied atomically in order to guarantee the R-link tree properties of section3.1.Atomic changes are further dealt with in section5.ing parent keys during ascent,we also must move right if the parent node has split.Notice in this case that no LSN is nec-essary to recognize the split or delimit the rightlink chain.An entry in a node can be uniquely identi?ed by the node pointer2 it contains;for that reason,we move right until we?nd the node with that particular entry.

When backing up the tree one level,we employ lock-coupling;that is,we hold the child node write-locked until we obtain a write-lock on the parent.If we do not couple the locks,another inserter causing a split can overtake us and install the changes before us.When it is?nally our turn, we would update the key,unaware of the previous changes to the child node.The key would not re?ect the bounding rectangle of the child anymore and the tree structure would be incorrect.3This is a deviation from the locking behavior in B-link trees,where lock-coupling during ascent is not necessary.In practice,this should make little difference to the achievable degree of concurrency,because parent nodes can be expected to still reside in main memory and therefore no locks are held during I/O operations.

The implementation of the insert algorithm is shown in?g-ure4.The individual procedures do the following:?ndLeaf descends to the geometrically optimal leaf,recording the path along the way and?nally write-locks the leaf;extendParent is called after a leaf split to recursively install an entry for the new leaf in the parent and to propagate the changed bounding rectangle of the old leaf;updateParent is called only after a leaf’s bounding rectangle has changed in order to recursively propagate the new bounding rectangle of that leaf.

To keep the algorithm as short as possible,we do not consider the case where multiple insertions are carried out at the same time and a splitting of the root by one inserter goes unnoticed by the others.This is problematic when the remaining inserters have to change the bounding rectangle of what they believe is the root or if the“root”has to be split a second time.A solution can be found in[LaSh86] and[Sagi86];both suggest using an anchor page to make root splits visible to other insertion processes and allow for compensating actions.

There is one restriction to consider when installing a new child entry in a parent node,which might not be immediately obvious.If the parent node was split,we would like to insert the new entry on the geometrically optimal node in the chain. Unfortunately,this is not possible and the new entry has to be installed on the same page that contained the old entry(or its new right sibling if the insertion causes a split).The reason for this can be seen in?gure5.Suppose a search process is looking for item contained in leaf node(situation a).

2Node pointers do not change after a split because the original node is kept in place.

3It is not necessary to do lock-coupling when moving right.If another inserter overtakes us while we are moving right and splits the nodes we are examining,it is impossible for us to miss the entry for the child node since a split can move entries only right.

insert(Rect r):

stack=?ndLeaf(root,r,root-lsn)

leaf=pop(stack)

insert r on leaf

if leaf was split

extendParent(leaf,

bounding-rect(leaf),

LSN(leaf),right sibling,

bounding-rect(right sibling),

LSN(right sibling),stack)

else

if bounding-rect of leaf changed

updateParent(leaf,

bounding-rect(leaf),stack)

else

w-unlock(leaf)

end

end

Stack?ndLeaf(RTreeNode p,Rect r,LSN p-lsn): if p is leaf

w-lock(p)

else

r-lock(p)

end

if p-lsn LSN(p)

p=geometrically optimal node to take

r in rightlink chain starting at p

and ending at node with

LSN=p-lsn

end

if p is leaf

push(stack,p)

return stack

else

e=entry on p leading to

geometrically optimal subtree

for r

push(stack,p)

r-unlock(p)

return?ndLeaf(e,r,LSN(e))

end

extendParent(RTreeNode p,Rect p-rect,

LSN p-lsn,RTreeNode q,Rect q-rect,

LSN q-lsn,Stack stack):

if empty(stack)

create new root(w-locked)with2

entries:

-for child,key:p-rect

-for sibling,key:q-rect

w-unlock(q)

w-unlock(p)

w-unlock(new root)

return

else

parent=pop(stack)

w-lock(parent)

?nd the entry for node p in parent

or one of its right siblings;

let parent=that node and

entry=that entry

w-unlock(q)

w-unlock(p)

update entry with p-rect and p-lsn

insert q on parent

if parent split

extendParent(parent,

bounding-rect(parent),

LSN(parent),

right sibling,

boundingRect(right sibling),

LSN(right sibling),stack)

else

if bounding-rect(parent)changed

updateParent(parent,

bounding-rect(parent),

stack)

else

w-unlock(parent)

end

end

end

updateParent(RTreeNode p,Rect p-rect,Stack stack): if empty(stack)

w-unlock(p)

return

else

parent=pop(stack)

w-lock(parent)

?nd the entry for node p in parent or

one of its right siblings;let

parent=that node and

entry=that entry

w-unlock(p)

update key in entry with p-rect

if bounding-rect(parent)changed

updateParent(parent,

bounding-rect(parent),stack))

else

w-unlock(parent)

end

end

Figure4:The insertion algorithm

Node and are split independently and item is moved to the new leaf(situation b).If the splitting of is already re?ected in the parent level,the search process will navigate directly to.In situation c,the entry for has been installed in,because this results in a geometrically better node layout than a placement on,and the entry in for has also been

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Figure 5:An incorrect structure modi?cation.

updated (key and LSN).In this case,the search process will be unable to ?nd leaf because it never considers going to .On the other hand,if the entry for had been installed in ,the search would have been successful.

In principle,this requirement could deteriorate the tree structure by forcing its keys to have more overlap than nec-essary.We expect this potential drawback to have little effect in practice because only in rare cases will the geometrically optimal node differ from the node containing the entry for the old child.

3.4Deletion

A key deletion from a leaf node is a combination of the search and insert algorithms.First,we have to ?nd the leaf holding the key we are interested in.After the key is removed from the leaf,we have to propagate the changed bounding rectangle up the tree,in the same manner as updateParent does for an insertion.The locking behavior is the same as for the search and insert algorithms and therefore key deletion is also deadlock-free.

If we want to maintain a high storage utilization,we have to remove nodes as soon as they become empty,so that they can be reused for subsequent splits in the tree.Since we do not employ lock-coupling when descending the tree,we have to deal with the problem of invalid pointers when removing nodes.In order to let descending operations detect that they followed an invalid pointer and reached a deleted node,we introduce a tree-global generation counter,which is a logical timestamp similar to an LSN.Each node in the tree stores its generation value in its header.On node removal,the global counter is incremented and the new value assigned to the deleted node,so that removed nodes have chronologically increasing generation values.A descending operation can now detect an invalid pointer by remembering the value of the global generation counter when reading the pointer and comparing this value to the one stored in the node header when ?nally visiting the node.A higher counter in the node indicates that it must have been removed after the pointer was read.In this case,a descending operation has to be restarted from the lowest valid ancestor node.The same compensating measure is necessary when the operation follows an invalid rightlink.This is detected if the generation value of the right sibling is higher than the global counter at the time the

pointer to the original child node was read (at the time the parent,not the original child,was examined).The R-link tree structure as postulated in section 3.1has to be slightly relaxed to accomodate the case where a node pointer is invalid.The removal of the node and its corresponding entry in the parent are carried out recursively,also removing the parent if it becomes empty and so forth.Note that it is impossible for us to cheaply access the left sibling of the deleted node in order to reset its rightlink.But because a rightlink in the R-link tree is only needed to compensate for splits as long as these are not fully re?ected in the parent level,we need not ?x the rightlink chain when removing a node.An operation that crosses an invalid rightlink detects this and restarts itself;all subsequent operations will see a parent that fully re?ects the child level and will not have to traverse the rightlink anymore.We can therefore safely ignore the invalid rightlink and as a consequence do not have to access the left sibling at all.Contrast this with B-link trees,where the rightlink chain at the leaf level is also used by range scans and a node deletion would therefore have to reset the rightlinksof neighboring nodes.

During the entire node deletion process,we only have to keep two nodes locked at a time:the node to be deleted and its parent node.

4Consistency

A common requirement for concurrent access in database systems is degree 3consistency ,or repeatable read (RR)[Gray78].A simple solution employed for B-trees is to keep all leaf pages that were read by an index scan locked until the end of the transaction.This strategy depends on the linear order of the keys and leaves and the fact that index scans always visit a contiguous sequence of leaves.

In R-trees,keys can be inserted on arbitrary leaves and an insertion into the key range of a previous scan can succeed even though the scan locked all of the leaves it read.If the insertion commits,the new key will be visible to a re-scan,giving rise to a phantom.An example for a two-dimensional key space is shown in ?gure 6.Boxes and are the bounding rectangles of internal nodes,boxes to are the bounding rectangles of leaves and the dashed box is the query rectangle.If the scan is looking for overlapping keys,only leaf quali?es and consequently it is the only leaf that is

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Figure 6:An example where 2-phase locking of leaves can-not guarantee RR.

visited and locked.The insertion of a new key into leaf extends its bounding box into the query rectangle,so that a re-scan will be able to see the new key,violating degree 3consistency.

One way to avoid the phantom problem is for scans to keep every node they traversed locked until the end of the trans-action,including internal nodes.This way,even a success-ful insertion into a leaf cannot propagate the new key so far up the tree that a scan with a con?icting key range can see it.The major disadvantages are that by setting locks on in-ternal nodes it reduces concurrency more than necessary and also introduces deadlocks.A searcher descending the tree can now collide with an inserter propagating changes up the tree.

A more effective solution to the phantom problem is to use a simpli?ed form of predicate locks [EGLT76],where exclu-sive predicates consist of a single key value and shared pred-icates consist of a query rectangle and scan operation such as inclusion or overlap.A new scan request would check the still-active insertions and suspend itself if its query rectangle collides with any of the uncommitted new keys.A new in-sertion would in turn check the active scans and also suspend itself on a collision with a query rectangle.If a scan commits and leaves the system,the waiting inserters are rechecked to see if some can be activated;the case of an inserter com-mitting is handled symmetrically.The advantages of this over the former page-locking scheme are that no deadlocks are possible and concurrency is not unnecessarily restricted,since an insertion can still propagate changes up to the root as long as it does not fall in the speci?ed ranges of active scans.The disadvantages attributed to general-purpose pred-icate locks for tables,exponential runtime and overly pes-simistic behaviour,do not apply here.To evaluate a predicate we simply check a key value against a query rectangle and a lock request is only rejected if there is a guaranteed collision with another active lock.Key values and query rectangles can be organized into an in-memory spatial data structure to speed up checking for lock con?icts.

5Recovery

The main ideas of the recovery method we present for R-link trees are drawn from [MoLe89]and [LoSa92].Like these two papers,we also split an update operation into its contents-changing and its structure-modifying part.A con-tents change is an insert or delete of a key on a leaf;a struc-ture modi?cation can be a node split or deletion,an up-date of an index entry on an inner node or the insertion or deletion of an index entry on an inner node.By separat-ing these two,the semantic effects of an index operation are attributed to the initiating transaction whereas the struc-ture modi?cation is handled independently of any transac-tion.This is necessary so that structure modi?cations can be made visible immediately after their completion and do not have to be locked until the initiating transaction commits.Like [MoLe89]and [LoSa92],we assume that write-ahead logging (W AL)is used for recovery purposes.In addition,we also assume that logical undo is supported.This is a ne-cessity for the R-link tree,which is explained shortly.

When changing the contents of a leaf through an insert or delete of a single key,we log this operation within the context of the executing transaction,obeying the W AL protocol.This ensures that these leaf changes can always be undone if the transaction aborts and redone if it commits.Structural mod-i?cations,on the other hand,are treated as separate recover-able units (“atomic actions”in [LoSa92]and “nested top ac-tions”in [MoLe89]).For example,a node split is an atomic action,which is caused by a transaction trying to insert a key on a full leaf node.The atomic action is logged and recov-ered separately from the surrounding transaction.Also,the atomic action is “committed”as soon as it ?nishes 4and not rolled back even if the transaction that caused it fails.

The obvious advantage is that the effects of structure mod-i?cations can be made visible to other transactions although the initiating transation has not committed,without creat-ing an abort dependency between the transactions.In other words,we do not have to keep the pages involved in a split locked until the end of transaction.A prerequisite of this strict separation is the ability to support logical undo as op-posed to a purely page-oriented undo.As an example,con-sider the case where a transaction inserts a key on a page and the page is subsequently split,with the new key moved to the right sibling.If later on the transaction aborts,the inserted key cannot be found on its original leaf and the tree has to be traversed,undoing the insert with a delete operation.Logical undo is important in R-link trees for another reason,which the following example illustrates.When deleting a key,we also adjust the ancestors’bounding rectangles to re?ect the missing key.Like all structure modi?cations,these updates are committed immediately.When rolling back the delete op-4Note

that the atomic action’s log records need not be ?ushed when the

atomic action ?nishes.It is suf?cient that they be ?ushed with the log records of the next committing transaction,because no previously committed trans-action could possibly have seen the effects of the atomic action.

eration,it is seldomly suf?cient to do a page-oriented undo and just re-insert the key on the leaf page.We might also have to adjust the bounding rectangles and therefore perform a complete insertion operation.

Like[LoSa92],we break up entire structure modi?cations such as node split or delete propagation into several atomic actions that operate on at most two levels of the tree and are executed serially.These atomic actions are:

splitting a leaf node

changing an existing entry in an individual invocation of updateParent

changing an existing entry and adding a new entry in an individual invocation of extendParent(this might include

a split)

incrementing the global generation counter by1and re-moving a node and its entry in the parent(the node is marked as“removed”by assigning it the new generation counter value)

The boundaries of atomic actions are chosen to coincide with the visibilityboundaries induced by the locking protocol.Put differently,an atomic action“commits”before it releases the locks it holds.Only for node removal does an atomic action span more than a single level of the tree.The reason is that we might otherwise be left with an invalid pointer after having incremented the generation counter and marked the node as deleted.If the system crashed before removing the entry from the parent,a descending operation would later on not be able to detect that the pointer is invalid.

Since the structural modi?cations are carried out level by level,it is possible that they are interrupted by a system crash, possibly leaving behind index entries in inner nodes with “wide”bounding rectangles or nodes without a correspond-ing parent entry.This does not render the tree inconsistent, but it deteriorates the structure because subsequent search operations might be misled into unnecessarily following a pointer or forced to do rightlink traversals for lack of a par-ent entry.We can repair these structural de?ciencies on the ?y.Wide bounding rectangles are implicitly repaired by a subsequent insert or delete operation that adjusts bounding rectangles along the same path.When an ascending structure modi?cation notices that a node on its path,which it reached by following a rightlink,does still not have a parent entry, it has detected an un?nished split.This has to be explicitly repaired by supplying the missing entry to the parent.When doing this,one has to be careful about obeying the required locking order and possibly release and reacquire some locks already held.

When combining this recovery mechanism with our pro-posed predicate locks,a rolling-back transaction is guaran-teed never to be involved in a deadlock.This characteris-tic stems from a)the deadlock-free locking protocol inside the tree and b)the fact that predicate locks can be fully ac-quired before the tree operation is started and any node locks are acquired.The consequence of the latter is that there cannot be a deadlock between a predicate lock and a node lock.Because of this freedom from deadlock we can also use cheap latches[MoLe89]instead of locks when locking the tree nodes for physical consistency.

6Performance Measurements

To asses the performance of R-link trees relative to non-link style R-tree concurrency mechanisms,we implemented R-link trees as a new access method for the Illustra database engine[Illu94]and compared it to the existing R-tree implementation.The performance numbers were obtained from concurrent client processes accessing a fully-functional database system,as opposed to simulation results or calls to a stand-alone access method implementation.

The existing R-tree implementation employs a variation of Bayer-Schkolnick-style lock-coupling for concurrent inser-tions.An insert operation obtains update locks on all nodes from the root to the leaf,holding on to them until the oper-ation is?nished.An update lock is incompatible with write locks and other update locks.This prevents two insert oper-ations from getting a lock on the same node,thereby allow-ing a lock holder to escalate the update lock to a write lock without running the risk of a deadlock.This locking strategy allows multiple readers to be active in an index but serializes insertions,because the update lock on the root can only be help by one transaction at a time.Both R-link and R-trees employed the same page splitting strategy,a simpli?ed ver-sion of Guttman’s original quadratic split algorithm.We did not implement all of the recovery strategy outlined in sec-tion5,because the no-overwrite storage manager[Ston87] of the Illustra database server does not undo the changes of aborted transactions.Also the deletion algorithm was not im-plemented as described in section3.4,because index reorga-nization is performed off-line.

We investigated the throughput and response time of search and insert operations on the index.Analogous to[SrCa91],we de?ned three different workloads:the low-contention workload consists of a varying number of searchers and a single inserter,the moderate-contention workload of inserters only and the high-contention workload of an equal number of searchers and inserters.The effect of multiple users is obtained by concurrently running client processes which continuously send requests to a database server.The Illustra database engine has a process-per-user architecture,so that every process had its own server. Both insert and search operations were executed as SQL statements inserting or retrieving a single rectangle.The statements were executed within the context of a transaction, requiring the writing of a log record.

Prior to each run at a particular multiprogramming level,

Figure7:Total Throughput

the table was preloaded with30,6002-dimensional,non-overlapping rectangles,each measuring10x10.Together,the rectangles imposed a grid pattern on the area1700x1800. Rectangles inserted during the benchmark measure8x8and were placed within a randomly chosen rectangle from the pre-loaded data set.The intention was to avoid propagating bounding box changes up the tree,so that we did not have to investigate the effects of locking for consistency.The search transactions also returned a single random rectangle from the pre-loaded data set.

The benchmarks were run on a dual-processor SPARCsta-tion10equipped with three DEC RZ28disks attached to a single controller.Both the table and the index used for the benchmark were striped across all3disks in a simple round-robin fashion.In order to compensate for the relatively small data set we limited the number of page buffers to64.The page size was8K,which resulted in a page capacity of70tu-ples for the relation,155index entries for R-link trees and 181index entries for R-trees.

The results we obtained for search transactions were es-sentially identical for both R-link and R-trees,under both the low-contention and the high-contention workload.This is not surprising,considering that neither R-link trees nor “Bayer-Schkolnick”R-trees lock out search operations when insertions are active in the tree.Also,the high-contention workload showed similar results for insert transactions as the medium-contention workload,only the numbers were scaled back due to the presence of resource-consuming searchers. For those reasons and space considerations,we decided to omit the results obtained from the low-and high-contention workloads altogether and focus on the all-inserters scenario. The effects of the different locking strategies on through-put and response time can be seen in?gure7and8, respectively.Both R-link and R-trees reach their maxi-mum throughput with three concurrent insertion processes. Whereas the R-link tree throughput is generally higher and

Figure8:Response Time

stays about constant,the R-tree throughput deteriorates considerably after that point.A likely explanation is that the process holding the root lock gets descheduled,thereby adding to the wait time of all of the blocked processes.The system then thrashes trying to?nd another process to run. The same effects can be seen in?gure8,where the response time for R-trees increases at a much higher rate than for R-link trees.

7Related Work

So far there has not been much work published on the con-currency control problem in R-trees.None of the algorithms known to us attempt to adapt the B-link tree strategy to R-trees in order to achieve higher concurrency.

Ng and Kameda[NgKa93]present three algorithms vary-ing in complexity and possible concurrency.The simplest of the three algorithms locks the entire tree so that an inser-tion would exclude all searchers.The second algorithm post-pones page splits by adding buffer space to each node to ac-commodate over?ows.When over?ows or under?ows take place,a separate maintenance process exclusively locks the entire tree and reorganizes it,splitting and merging several nodes in the same run.Because an insertion never performs a split itself,there is no need for concurrent search processes to do lock-coupling.The highest-concurrency algorithm is modeled after one presented in[BaSc77]for B-trees.Read-ers do top-down lock-coupling when descending the tree in order to avoid having to deal with splitting pages.Insertions lock the entire subtree that needs modi?cation on their way to the leaf.

[Moha89,MoLe89]and[LoSa92]discuss recoverable ac-cess structures in a write-ahead logging environment;the for-mer paper also present a solution for guaranteeing degree3 consistency with row-level locking.

ARIES/KVL and ARIES/IM both use a conventional,

non-link tree structure,yet they are able to propagate splits bottom-up without locking subtrees and to let top-down traversing processes recover from them.Instead of fol-lowing rightlinks,pages that are involved in a split are marked so that a search that runs into an ongoing split is able to notice it and retraverse the tree starting from the lowest unmodi?ed parent node.Unlike in a B-link tree,a partially executed structure modi?cation may leave parts of the tree temporarily invisible.Taking into account that some operations might require logical undo,which in turn requires tree traversal,it is necessary to serialize complete splits, including propagation,so that no two splits can take place at the same time.Moreover,there are situations in which insert or delete requests also have to be serialized with structure modi?cations.The tree must be consistent whenever logical undo could be necessary;this is achieved by waiting for ongoing structure modi?cations to?nish.To avoid the phantom problem when doing record-level locking,a scan also sets a shared lock on the next-highest key past its scan range.Again,this is not applicable in R-trees because the notion of a next-highest key does not exist.

The-tree presented in[LoSa90]is a generalization of a B-link tree where nodes can have multiple parents,which turns the tree structure into a DAG.The nodes of a-tree par-tition the key space,thus making it possible for descending operations to detect splits solely by key comparisons.Node consolidation requires lock-coupling during descent to avoid invalid pointers.As a consequence,lock-coupling cannot be employed during ascent without risking deadlocks.As men-tioned in section5,the-tree solution for recovery forms the basis of recovery in the R-link tree.The two approaches dif-fer in how un?nished splits are detected and repaired.A de-scending operation in a-tree takes a rightlink traversal as an indication of a possibly un?nished split and then checks the parent for the entry suspected missing.In an R-link tree, an un?nished split is unambiguously detected during ascent. 8Summary

In this paper,we have presented R-link trees,an extension on R-trees designed to support high concurrency.R-link trees look and work very similar to B-link trees,with each opera-tion holding only a few locks at one time and handling unex-pected splits by moving across link pointers to sibling nodes on the same level.The key differences in the design of B-link trees and R-link trees are a result of the fact that spatial keys cannot be ordered linearly.Where B-link trees rely on the actual keys involved in the search to resolve unexpected splits,R-link trees have to use a system of sequence numbers assigned to each node.The degree of concurrency obtainable with R-link trees should be as good as the best B-tree algo-rithm,the B-link tree.Descending an R-link tree to a leaf requires no lock-coupling;consequently,only a single node needs to be locked at any time.To cope with invalid point-ers resulting from node deletions,we keep track of when a node was deleted by assigning it a generation number.This allows us to do online node deletion without employing lock-coupling during tree descent.An insert or delete process as-cending the tree only needs to hold a maximum of two nodes locked,allowing many updates of the index to take place con-currently.For this to be possible,it is crucial that the recov-ery strategy support logical undo.A comparison with a lock-coupling concurrency mechanism for R-trees shows that R-link trees are capable of sustaining high throughput and low response times as the load increases.

An area for further research is the problem of enforcing de-gree3consistency of index scans.We outlined an inexpen-sive variant of predicate locking that we intend to investigate in more detail.The question remains whether popular tech-niques for B-trees such as key-range locking can be made to work for spatial data structures such as R-trees. Acknowledgement

We would like to thank Paul Aoki,Paul Brown,Bob Devine, Shel Finkelstein,Joe Hellerstein,Mike Olson,Sunita Sarawagi and Mike Stonebraker for their comments on this paper.We would also like to acknowledge Megan Metters who helped to make this paper more readable.The people at Illustra were also very helpful.In particular,we have to thank Jeff Meredith,Wei Hong and Mike Ubell for their support.Dan Seguin deserves special thanks for help with hardware emergencies.

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3.摘要:论文摘要的字数壹般为300字左右。摘要是对论文的内容不加注释和评论的简短陈述,是文章内容的高度概括。主要内容包括:该项研究工作的内容、目的及其重要性;所使用的实验方法;总结研究成果,突出作者的新见解;研究结论及其意义。摘要中不列举例证,不描述研究过程,不做自我评价。 论文摘要后另起壹行注明本文的关键词,关键词是供检索用的主题词条,应采用能够覆盖论文内容的通用专业术语,符合学科分类,壹般为3~5个,按照词条的外延层次从大到小排列。 4.目录(目录示例见附件3):独立成页,包括论文中的壹级、二级标题、后记、参考文献、和附录以及各项所于的页码。 5.正文:包括前言、论文主体和结论 前言:为正文第壹部分内容,简单介绍本项研究的背景和国内外研究成果、研究现状,明确研究目的、意义以及要解决的问题。 论文主体:是全文的核心部分,于正文中应将调查、研究中所得的材料和数据加工整理和分析研究,提出论点,突出创新。内容可根据学科特点和研究内容的性质而不同。壹般包括:理论分析、计算方法、实验装置和测试方法、对实验结果或调研结果的分析和讨论,本研究方法和已有研究方法的比较等方面。内容要求论点正确,推理严谨,数据可靠,文字精炼,条理分明,重点突出。 结论:为正文最后壹部分,是对主要成果的归纳和总结,要突出创新点,且以简练的文字对所做的主要工作进行评价。 6.后记:对整个毕业论文工作进行简单的回顾总结,对给予毕业论文工作提供帮助的组织或个人表示感谢。内容应尽量简单明了,壹般为200字左右。 7.参考文献:是论文不可或缺的组成部分。它既可反映毕业论文工作中取材广博程度,又可反映文稿的科学依据和作者尊重他人研究成果的严肃态度,仍能够向读者提供有关

论文写作格式规范与要求(完整资料).doc

【最新整理,下载后即可编辑】 广东工业大学成人高等教育 本科生毕业论文格式规范(摘录整理) 一、毕业论文完成后应提交的资料 最终提交的毕业论文资料应由以下部分构成: (一)毕业论文任务书(一式两份,与论文正稿装订在一起)(二)毕业论文考核评议表(一式三份,学生填写表头后发电子版给老师) (三)毕业论文答辩记录(一份, 学生填写表头后打印出来,答辩时使用) (四)毕业论文正稿(一式两份,与论文任务书装订在一起),包括以下内容: 1、封面 2、论文任务书 3、中、英文摘要(先中文摘要,后英文摘要,分开两页排版) 4、目录 5、正文(包括:绪论、正文主体、结论) 6、参考文献 7、致谢 8、附录(如果有的话) (五)论文任务书和论文正稿的光盘

二、毕业论文资料的填写与装订 毕业论文须用计算机打印,一律使用A4打印纸,单面打印。 毕业论文任务书、毕业论文考核评议表、毕业论文正稿、答辩纪录纸须用计算机打印,一律使用A4打印纸。答辩提问记录一律用黑色或蓝黑色墨水手写,要求字体工整,卷面整洁;任务书由指导教师填写并签字,经主管院领导签字后发出。 毕业论文使用统一的封面,资料装订顺序为:毕业论文封面、论文任务书、考核评议表、答辩记录、中文摘要、英文摘要、目录、正文、参考文献、致谢、附录(如果有的话)。论文封面要求用A3纸包边。 三、毕业论文撰写的内容与要求 一份完整的毕业论文正稿应包括以下几个方面: (一)封面(见封面模版) (二)论文题目(填写在封面上,题目使用2号隶书,写作格式见封面模版) 题目应简短、明确,主标题不宜超过20字;可以设副标题。(三)论文摘要(写作格式要求见《摘要、绪论、结论、参考文献写作式样》P1~P2) 1、中文“摘要”字体居中,独占一页

论文的写作格式及规范

论文的写作格式及规范

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3摘要 论文都应有摘要(3000 字以下的文章可以略去)。摘要的:写作应符合GB6447-86的规定。摘要的内容包括研究的目的、方法、结果和结论。一般应写成报道性文摘,也可以写成指示性或报道-指示性文摘。摘要应具有独立性和自明性,应是一篇完整的短文。一般不分段,不用图表和非公知公用的符号或术语,不得引用图、表、公式和参考文献的序号。中文摘要的篇幅:报道性的300字左右,指示性的100 字左右,报道指示性的200字左右。英文摘要一般与中文摘要内容相对应。 4关键词 关键词是为了便于作文献索引和检索而选取的能反映论文主题概念的词或词组,一般每篇文章标注3?8个。关键词应尽量从《汉语主题词表》等词表中选用规范词——叙词。未被词表收录的新学科、新技术中的重要术语和地区、人物、文献、产品及重要数据名称,也可作为关键词标出。中、英文关键词应一一对应。 5引言 引言的内容可包括研究的目的、意义、主要方法、范围和背景等。 应开门见山,言简意赅,不要与摘要雷同或成为摘要的注释,避免公式推导和一般性的方法介绍。引言的序号可以不写,也可以写为“ 0”,不写序号时“引言”二字可以省略。 6论文的正文部分 论文的正文部分系指引言之后,结论之前的部分,是论文的核心, 应按GB7713--87 的规定格式编写。 6.1层次标题

大学本科生毕业论文(设计)撰写要求与格式规范

沈阳农业大学本科生毕业论文(设计)撰写要求与格式规范 (2008年7月修订) 毕业论文(设计)是培养学生综合运用所学知识 分析和解决实际问题 提高实践能力和创造能力的重要教学环节 是记录科学研究成果的重要文献 也是学生申请学位的基本依据 为保证本科生毕业论文(设计)质量 促进国内外学术交流 特制定《沈阳农业大学本科生毕业论文(设计)撰写要求与格式规范》 一、毕业论文(设计)的基本结构 毕业论文(设计)的基本结构是: 1.前置部分:包括封面、任务书、选题审批表、指导记录、考核表、中(外)文摘要、关键词和目录等 2.主体部分:包括前言、正文、参考文献、附录和致谢等 二、毕业论文(设计)的内容要求 (一)前置部分 1.封面 由学校统一设计 2.毕业论文(设计)任务书 毕业论文(设计)任务由各教学单位负责安排 并根据已确定的论文(设计)课题下达给学生 作为学生和指导教师共同从事毕业论文(设计)工作的依据 毕业论文(设计)任务书的内容包括课题名称、学生姓名、下发日期、论文(设计)的主要内容与要求、毕业论文(设计)的工作进度和起止时间等 3.论文(设计)选题审批表 4.论文(设计)指导记录 5.毕业论文(设计)考核表 指导教师评语、评阅人评审意见分别由指导教师和评阅人填写 答辩委员会意见、评定成绩以及是否授予学士学位的建议等材料应由答辩委员会填写 6.中(外)文摘要 摘要是毕业论文(设计)研究内容及结论的简明概述 具有独立性和自含性 其内容包括论文(设计)的主要内容、试(实)验方法、结果、结论和意义等 中文摘要不少于400字;英文摘要必须用第三人称 采用现在时态编写 7.关键词

论文写作格式规范与要求

广东工业大学成人高等教育 本科生毕业论文格式规范(摘录整理) 一、毕业论文完成后应提交的资料 最终提交的毕业论文资料应由以下部分构成: (一)毕业论文任务书(一式两份,与论文正稿装订在一起) (二)毕业论文考核评议表(一式三份,学生填写表头后发电子版给老师) (三)毕业论文答辩记录(一份, 学生填写表头后打印出来,答辩时使用) (四)毕业论文正稿(一式两份,与论文任务书装订在一起),包括以下内容: 1、封面 2、论文任务书 3、中、英文摘要(先中文摘要,后英文摘要,分开两页排版) 4、目录 5、正文(包括:绪论、正文主体、结论) 6、参考文献 7、致谢 8、附录(如果有的话) (五)论文任务书和论文正稿的光盘 二、毕业论文资料的填写与装订 毕业论文须用计算机打印,一律使用A4打印纸,单面打印。 毕业论文任务书、毕业论文考核评议表、毕业论文正稿、答辩纪录纸须用计算机打印,一律使用A4打印纸。答辩提问记录一律用黑色或蓝黑色墨水手写,要求字体工整,卷面整洁;任务书由指导教师填写并签字,经主管院领导签字后发出。 毕业论文使用统一的封面,资料装订顺序为:毕业论文封面、论文任务书、考核评议表、答辩记录、中文摘要、英文摘要、目录、正文、参考文献、致谢、附录(如果有的话)。论文封面要求用A3纸包边。

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山东农业大学毕业论文写作要求与格式规范-推荐下载

和分析研究,提出论点,突出创新。内容可根据学科特点和研究内容的性质而不同。一般包括:理论分析、计算方法、实验装置和测试方法、对实验结果或调研结果的分析与讨论,本研究方法与已有研究方法的比较等方面。内容要求论点正确,推理严谨,数据可靠,文字精炼,条理分明,重点突出。 结论:为正文最后一部分,是对主要成果的归纳和总结,要突出创新点,并以简练的文字对所做的主要工作进行评价。 6.后记:对整个毕业论文工作进行简单的回顾总结,对给予毕业论文工作提供帮助的 组织或个人表示感谢。内容应尽量简单明了,一般为200字左右。 7.参考文献: 是论文不可或缺的组成部分。它既可反映毕业论文工作中取材广博 程度,又可反映文稿的科学依据和作者尊重他人研究成果的严肃态度,还可以向读者提供有 关信息的出处。 正文中应按顺序在引用参考文献处的文字右上角用[ ]标明,[ ]中序号应与“参考文献”中序号一致,结论之后刊出参考文献,并列出只限于作者亲自阅读过的近期发表或出版与本专业密切相关的学术著作和学术期刊文献。引用其它一些未公开发表和出版的参考资料也应注明资料来源,有确需要说明的可以在后记或附录中予以说明。 8.附录:凡不宜放在论文正文中,但又与论文确有作用的资料,如较为冗长的公式推 导、重复性或者辅助性数据图表、计算程序及有关说明等,可以编制成论文的附录。附录字数不计入论文文字数量。 二、版式、格式 毕业论文封面应使用学院统一规定的论文样式,(对于未按规范规定撰写的毕业论文, 最终成绩可相应的下调一个等级)。 1.论文开本及版芯 论文开本大小:A4纸(210mm ×297mm ); 正文页面设置:左边距:30mm ,右边距:25mm ;上边距:30mm ,下边距:25mm 。 2.层次和标题 层次应清楚,标题应简明扼要,重点突出。论文分三级标题,各级标题具体格式如下: 一级标题:宋体,三号,加粗、段前、段后间距为1行,左对齐,单列一行;二级标题:宋体,四号,加粗、段前、段后间距为1行,左对齐,单列一行;三级标题:宋体,小四号,段前、段后间距为1行;左对齐,单列一行;上述段前、段后间距可适当调节,以便于控制正文合适的换页位置;正文一级及以 下子标题格式为:1;1.1;1.1.1。 其它标题或需突出的重点,可用五号黑体(或加粗),可单列一行,也可放在段首。 3.摘要: 摘要标题为宋体、三号,加粗,段前段后间距为一行、居中、单列一行; 摘要内容采用小四号宋体,行间距为20磅。 4.关键词:与摘要同处一页,位于摘要之后,另起一行以“关键词”开头(字体加粗) 、管路敷设技术通过管线不仅可以解决吊顶层配置不规范高中资料试卷问题,而且可保障各类管路习题到位。在管路敷设过程中,要加强看护关于管路高中资料试卷连接管口处理高中资料试卷弯扁度固定盒位置保护层防腐跨接地线弯曲半径标高等,要求技术交底。管线敷设技术包含线槽、管架等多项方式,为解决高中语文电气课件中管壁薄、接口不严等问题,合理利用管线敷设技术。线缆敷设原则:在分线盒处,当不同电压回路交叉时,应采用金属隔板进行隔开处理;同一线槽内,强电回路须同时切断习题电源,线缆敷设完毕,要进行检查和检测处理。、电气课件中调试对全部高中资料试卷电气设备,在安装过程中以及安装结束后进行 高中资料试卷调整试验;通电检查所有设备高中资料试卷相互作用与相互关系,根据生产工艺高中资料试卷要求,对电气设备进行空载与带负荷下高中资料试卷调控试验;对设备进行调整使其在正常工况下与过度工作下都可以正常工作;对于继电保护进行整核对定值,审核与校对图纸,编写复杂设备与装置高中资料试卷调试方案,编写重要设备高中资料试卷试验方案以及系统启动方案;对整套启动过程中高中资料试卷电气设备进行调试工作并且进行过关运行高中资料试卷技术指导。对于调试过程中高中资料试卷技术问题,作为调试人员,需要在事前掌握图纸资料、设备制造厂家出具高中资料试卷试验报告与相关技术资料,并且了解现场设备高中资料试卷布置情况与有关高中资料试卷电气系统接线等情况,然后根据规范与规程规定,制定设备调试高中资料试卷方案。 、电气设备调试高中资料试卷技术电力保护装置调试技术,电力保护高中资料试卷配置技术是指机组在进行继电保护高中资料试卷总体配置时,需要在最大限度内来确保机组高中资料试卷安全,并且尽可能地缩小故障高中资料试卷破坏范围,或者对某些异常高中资料试卷工况进行自动处理,尤其要避免错误高中资料试卷保护装置动作,并且拒绝动作,来避免不必要高中资料试卷突然停机。因此,电力高中资料试卷保护装置调试技术,要求电力保护装置做到准确灵活。对于差动保护装置高中资料试卷调试技术是指发电机一变压器组在发生内部故障时,需要进行外部电源高中资料试卷切除从而采用高中资料试卷主要保护装置。

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