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Efficient URL Caching for World Wide Web Crawling

Efficient URL Caching for World Wide Web Crawling
Efficient URL Caching for World Wide Web Crawling

Ef?cient URL Caching for World Wide Web Crawling

Andrei Z.Broder

IBM TJ Watson Research Center

19Skyline Dr

Hawthorne,NY10532 abroder@https://www.doczj.com/doc/0b9724397.html,

Marc Najork

Microsoft Research

1065La Avenida

Mountain View,CA94043

najork@https://www.doczj.com/doc/0b9724397.html,

Janet L.Wiener

Hewlett Packard Labs

1501Page Mill Road

Palo Alto,CA94304

janet.wiener@https://www.doczj.com/doc/0b9724397.html,

ABSTRACT

Crawling the web is deceptively simple:the basic algorithm is(a) Fetch a page(b)Parse it to extract all linked URLs(c)For all the URLs not seen before,repeat(a)–(c).However,the size of the web (estimated at over4billion pages)and its rate of change(estimated at7%per week)move this plan from a trivial programming exercise to a serious algorithmic and system design challenge.Indeed,these two factors alone imply that for a reasonably fresh and complete crawl of the web,step(a)must be executed about a thousand times per second,and thus the membership test(c)must be done well over ten thousand times per second against a set too large to store in main memory.This requires a distributed architecture,which further complicates the membership test.

A crucial way to speed up the test is to cache,that is,to store in main memory a(dynamic)subset of the“seen”URLs.The main goal of this paper is to carefully investigate several URL caching techniques for web crawling.We consider both practical algo-rithms:random replacement,static cache,LRU,and CLOCK,and theoretical limits:clairvoyant caching and in?nite cache.We per-formed about1,800simulations using these algorithms with vari-ous cache sizes,using actual log data extracted from a massive33 day web crawl that issued over one billion HTTP requests.

Our main conclusion is that caching is very effective–in our setup,a cache of roughly50,000entries can achieve a hit rate of almost80%.Interestingly,this cache size falls at a critical point:a substantially smaller cache is much less effective while a substan-tially larger cache brings little additional bene?t.We conjecture that such critical points are inherent to our problem and venture an explanation for this phenomenon.

Categories and Subject Descriptors

H.4.m[Information Systems]:Miscellaneous;D.2[Software]: Software Engineering;D.2.8[Software Engineering]:Metrics;

D.2.11[Software Engineering]:Software Architectures; H.5.4[Information Interfaces and Presentation]:Hypertext/ Hypermedia—Navigation

General Terms

Algorithms,Measurement,Experimentation,Performance

Keywords

Caching,Crawling,Distributed crawlers,URL caching,Web graph models,Web crawlers

Copyright is held by the author/owner(s).

WWW2003,May20–24,2003,Budapest,Hungary.

ACM1-58113-680-3/03/0005.1.INTRODUCTION

A recent Pew Foundation study[31]states that“[s]earch engines have become an indispensable utility for Internet users”and esti-mates that as of mid-2002,slightly over50%of all Americans have used web search to?nd information.Hence,the technology that powers web search is of enormous practical interest.In this pa-per,we concentrate on one aspect of the search technology,namely the process of collecting web pages that eventually constitute the search engine corpus.

Search engines collect pages in many ways,among them direct URL submission,paid inclusion,and URL extraction from non-web sources,but the bulk of the corpus is obtained by recursively exploring the web,a process known as crawling or spidering.The basic algorithm is

(a)Fetch a page

(b)Parse it to extract all linked URLs

(c)For all the URLs not seen before,repeat(a)–(c) Crawling typically starts from a set of seed URLs,made up of URLs obtained by other means as described above and/or made up of URLs collected during previous crawls.Sometimes crawls are started from a single well connected page,or a directory such as https://www.doczj.com/doc/0b9724397.html,,but in this case a relatively large portion of the web (estimated at over20%)is never reached.See[9]for a discussion of the graph structure of the web that leads to this phenomenon.

If we view web pages as nodes in a graph,and hyperlinks as di-rected edges among these nodes,then crawling becomes a process known in mathematical circles as graph traversal.Various strate-gies for graph traversal differ in their choice of which node among the nodes not yet explored to explore next.Two standard strate-gies for graph traversal are Depth First Search(DFS)and Breadth First Search(BFS)–they are easy to implement and taught in many introductory algorithms classes.(See for instance[34]). However,crawling the web is not a trivial programming exercise but a serious algorithmic and system design challenge because of the following two factors.

1.The web is very large.Currently,Google[20]claims to have

indexed over3billion pages.Various studies[3,27,28]have indicated that,historically,the web has doubled every9-12 months.

2.Web pages are changing rapidly.If“change”means“any

change”,then about40%of all web pages change weekly

[12].Even if we consider only pages that change by a third

or more,about7%of all web pages change weekly[17]. These two factors imply that to obtain a reasonably fresh and

complete snapshot of the web,a search engine must crawl at least 100million pages per day.Therefore,step(a)must be executed about1,000times per second,and the membership test in step(c) must be done well over ten thousand times per second,against a set of URLs that is too large to store in main memory.In addition, crawlers typically use a distributed architecture to crawl more pages in parallel,which further complicates the membership test:it is possible that the membership question can only be answered by a peer node,not locally.

A crucial way to speed up the membership test is to cache a(dy-namic)subset of the“seen”URLs in main memory.The main goal of this paper is to investigate in depth several URL caching tech-niques for web crawling.We examined four practical techniques: random replacement,static cache,LRU,and CLOCK,and com-pared them against two theoretical limits:clairvoyant caching and in?nite cache when run against a trace of a web crawl that issued over one billion HTTP requests.We found that simple caching techniques are extremely effective even at relatively small cache sizes such as50,000entries and show how these caches can be im-plemented very ef?ciently.

The paper is organized as follows:Section2discusses the vari-ous crawling solutions proposed in the literature and how caching ?ts in their model.Section3presents an introduction to caching techniques and describes several theoretical and practical algorithms for caching.We implemented these algorithms under the experi-mental setup described in Section4.The results of our simulations are depicted and discussed in Section5,and our recommendations for practical algorithms and data structures for URL caching are presented in Section6.Section7contains our conclusions and di-rections for further research.

2.CRA WLING

Web crawlers are almost as old as the web itself,and numer-ous crawling systems have been described in the literature.In this section,we present a brief survey of these crawlers(in historical order)and then discuss why most of these crawlers could bene?t from URL caching.

The crawler used by the Internet Archive[10]employs multiple crawling processes,each of which performs an exhaustive crawl of 64hosts at a time.The crawling processes save non-local URLs to disk;at the end of a crawl,a batch job adds these URLs to the per-host seed sets of the next crawl.

The original Google crawler,described in[7],implements the different crawler components as different processes.A single URL server process maintains the set of URLs to download;crawling processes fetch pages;indexing processes extract words and links; and URL resolver processes convert relative into absolute URLs, which are then fed to the URL Server.The various processes com-municate via the?le system.

For the experiments described in this paper,we used the Mer-cator web crawler[22,29].Mercator uses a set of independent, communicating web crawler processes.Each crawler process is re-sponsible for a subset of all web servers;the assignment of URLs to crawler processes is based on a hash of the URL’s host component.

A crawler that discovers an URL for which it is not responsible sends this URL via TCP to the crawler that is responsible for it, batching URLs together to minimize TCP overhead.We describe Mercator in more detail in Section4.

Cho and Garcia-Molina’s crawler[13]is similar to Mercator. The system is composed of multiple independent,communicating web crawler processes(called“C-procs”).Cho and Garcia-Molina consider different schemes for partitioning the URL space,includ-ing URL-based(assigning an URL to a C-proc based on a hash of the entire URL),site-based(assigning an URL to a C-proc based on a hash of the URL’s host part),and hierarchical(assigning an URL to a C-proc based on some property of the URL,such as its top-level domain).

The WebFountain crawler[16]is also composed of a set of in-dependent,communicating crawling processes(the“ants”).An ant that discovers an URL for which it is not responsible,sends this URL to a dedicated process(the“controller”),which forwards the URL to the appropriate ant.

UbiCrawler(formerly known as Trovatore)[4,5]is again com-posed of multiple independent,communicating web crawler pro-cesses.It also employs a controller process which oversees the crawling processes,detects process failures,and initiates fail-over to other crawling processes.

Shkapenyuk and Suel’s crawler[35]is similar to Google’s;the different crawler components are implemented as different pro-cesses.A“crawling application”maintains the set of URLs to be downloaded,and schedules the order in which to download them. It sends download requests to a“crawl manager”,which forwards them to a pool of“downloader”processes.The downloader pro-cesses fetch the pages and save them to an NFS-mounted?le sys-tem.The crawling application reads those saved pages,extracts any links contained within them,and adds them to the set of URLs to be downloaded.

Any web crawler must maintain a collection of URLs that are to be downloaded.Moreover,since it would be unacceptable to download the same URL over and over,it must have a way to avoid adding URLs to the collection more than once.Typically,avoid-ance is achieved by maintaining a set of discovered URLs,cover-ing the URLs in the frontier as well as those that have already been downloaded.If this set is too large to?t in memory(which it often is,given that there are billions of valid URLs),it is stored on disk and caching popular URLs in memory is a win:Caching allows the crawler to discard a large fraction of the URLs without having to consult the disk-based set.

Many of the distributed web crawlers described above,namely Mercator[29],WebFountain[16],UbiCrawler[4],and Cho and Molina’s crawler[13],are comprised of cooperating crawling pro-cesses,each of which downloads web pages,extracts their links, and sends these links to the peer crawling process responsible for it.However,there is no need to send a URL to a peer crawling pro-cess more than once.Maintaining a cache of URLs and consulting that cache before sending a URL to a peer crawler goes a long way toward reducing transmissions to peer crawlers,as we show in the remainder of this paper.

3.CACHING

In most computer systems,memory is hierarchical,that is,there exist two or more levels of memory,representing different trade-offs between size and speed.For instance,in a typical worksta-tion there is a very small but very fast on-chip memory,a larger but slower RAM memory,and a very large and much slower disk memory.In a network environment,the hierarchy continues with network accessible storage and so on.Caching is the idea of storing frequently used items from a slower memory in a faster memory.In the right circumstances,caching greatly improves the performance of the overall system and hence it is a fundamental technique in the design of operating systems,discussed at length in any standard textbook[21,37].In the web context,caching is often mentioned in the context of a web proxy caching web pages[26,Chapter11]. In our web crawler context,since the number of visited URLs be-comes too large to store in main memory,we store the collection of visited URLs on disk,and cache a small portion in main memory.

Caching terminology is as follows:the cache is memory used to store equal sized atomic items.A cache has size if it can store at most items.1At each unit of time,the cache receives a request for an item.If the requested item is in the cache,the situation is called a hit and no further action is needed.Otherwise,the situation is called a miss or a fault.If the cache has fewer than items,the missed item is added to the cache.Otherwise,the algorithm must choose either to evict an item from the cache to make room for the missed item,or not to add the missed item.The caching policy or caching algorithm decides which item to evict.The goal of the caching algorithm is to minimize the number of misses. Clearly,the larger the cache,the easier it is to avoid misses. Therefore,the performance of a caching algorithm is characterized by the miss ratio for a given size cache.

In general,caching is successful for two reasons:

Non-uniformity of requests.Some requests are much more popular than others.In our context,for instance,a link to https://www.doczj.com/doc/0b9724397.html, is a much more common occurrence than a link to the authors’home pages.

Temporal correlation or locality of reference.Current re-quests are more likely to duplicate requests made in the re-cent past than requests made long ago.The latter terminol-ogy comes from the computer memory model–data needed now is likely to be close in the address space to data recently needed.In our context,temporal correlation occurs?rst be-cause links tend to be repeated on the same page–we found that on average about30%are duplicates,cf.Section4.2,and second,because pages on a given host tend to be explored se-quentially and they tend to share many links.For example, many pages on a Computer Science department server are likely to share links to other Computer Science departments in the world,notorious papers,etc.

Because of these two factors,a cache that contains popular re-quests and recent requests is likely to perform better than an ar-bitrary cache.Caching algorithms try to capture this intuition in various ways.

We now describe some standard caching algorithms,whose per-formance we evaluate in Section5.

3.1In?nite cache(INFINITE)

This is a theoretical algorithm that assumes that the size of the cache is larger than the number of distinct requests.Clearly,in this case the number of misses is exactly the number of distinct requests,so we might as well consider this cache in?nite.In any case,it is a simple bound on the performance of any algorithm. 3.2Clairvoyant caching(MIN)

More than35years ago,L′a szl′o Belady[2]showed that if the entire sequence of requests is known in advance(in other words, the algorithm is clairvoyant),then the best strategy is to evict the item whose next request is farthest away in time.This theoretical algorithm is denoted MIN because it achieves the minimum number of misses on any sequence and thus it provides a tight bound on performance.Simulating MIN on a trace of the size we consider requires some care–we explain how we did it in Section4.In Section5we compare the performance of the practical algorithms described below both in absolute terms and relative to MIN.

a stream of data[18,1,11].Therefore,an on-line approach might work as well.)Of course,for simulation purposes we can do a?rst pass over our input to determine the most popular URLs,and then preload the cache with these URLs,which is what we did in our experiments.

The second issue above is the very reason we decided to test STATIC:if STATIC performs well,then the conclusion is that there is little locality of reference.If STATIC performs relatively poorly, then we can conclude that our data manifests substantial locality of reference,that is,successive requests are highly correlated.

3.7Theoretical analyses

Given the practical importance of caching it is not surprising that caching algorithms have been the subject of considerable theoreti-cal scrutiny.Two approaches have emerged for evaluating caching algorithms:adversarial and average case analysis.

Adversarial analysis compares the performance of a given on-line algorithm,such as LRU or CLOCK,against the optimal off-line algorithm MIN[6].The ratio between their respective numbers of misses is called the competitive ratio.If this ratio is no larger than for any possible sequence of requests then the algorithm is called-competitive.If there is a sequence on which this ratio is attained,the bound is said to be tight.Unfortunately for the caching problem,the competitive ratio is not very interesting in practice because the worst case sequences are very arti?cial.For example, LRU is-competitive,and this bound is tight.(Recall that is the size of the cache.)For a cache of size,this bound tells us that LRU will never produce more than times the number of misses produced by MIN.However,for most cache sizes,we observed ratios for LRU of less than1.05(see Figure3),and for all cache sizes,we observed ratios less than2.

Average case analysis assumes a certain distribution on the se-quence of requests.(See[23]and references therein,also[24].) The math is not easy,and the analysis usually assumes that the requests are independent,which means no locality of reference. Without locality of reference,a static cache containing the most popular requests performs optimally on average and the issue is how much worse other algorithms do.For instance,Jelenkovi′c[23] shows that asymptotically,LRU performs at most(;is Euler’s constant=0.577....)times worse than STATIC when the distribution of requests follows a Zipf law.However,such results are not very useful in our case:our requests are highly correlated, and in fact,STATIC performs worse than all the other algorithms, as illustrated in Section5.

4.EXPERIMENTAL SETUP

We now describe the experiment we conducted to generate the crawl trace fed into our tests of the various algorithms.We con-ducted a large web crawl using an instrumented version of the Mer-cator web crawler[29].We?rst describe the Mercator crawler ar-chitecture,and then report on our crawl.

4.1Mercator crawler architecture

A Mercator crawling system consists of a number of crawling processes,usually running on separate machines.Each crawling process is responsible for a subset of all web servers,and consists of a number of worker threads(typically500)responsible for down-loading and processing pages from these servers.

Figure1illustrates the?ow of URLs and pages through each worker thread in a system with four crawling processes.

Each worker thread repeatedly performs the following opera-tions:it obtains a URL from the URL Frontier,which is a disk-based data structure maintaining the set of URLs to be downloaded;downloads the corresponding page using HTTP into a buffer(called a RewindInputStream or RIS for short);and,if the page is an HTML page,extracts all links from the page.The stream of extracted links is converted into absolute URLs and run through the URL Filter, which discards some URLs based on syntactic properties.For ex-ample,it discards all URLs belonging to web servers that contacted us and asked not be crawled.

The URL stream then?ows into the Host Splitter,which assigns URLs to crawling processes using a hash of the URL’s host name. Since most links are relative,most of the URLs(81.5%in our ex-periment)will be assigned to the local crawling process;the others are sent in batches via TCP to the appropriate peer crawling pro-cesses.

Both the stream of local URLs and the stream of URLs received from peer crawlers?ow into the Duplicate URL Eliminator(DUE). The DUE discards URLs that have been discovered previously.The new URLs are forwarded to the URL Frontier for future download. In order to eliminate duplicate URLs,the DUE must maintain the set of all URLs discovered so far.Given that today’s web contains several billion valid URLs,the memory requirements to maintain such a set are signi?cant.Mercator can be con?gured to maintain this set as a distributed in-memory hash table(where each crawling process maintains the subset of URLs assigned to it);however,this DUE implementation(which reduces URLs to8-byte checksums, and uses the?rst3bytes of the checksum to index into the hash table)requires about5.2bytes per URL,meaning that it takes over 5GB of RAM per crawling machine to maintain a set of1billion URLs per machine.These memory requirements are too steep in many settings,and in fact,they exceeded the hardware available to us for this experiment.Therefore,we used an alternative DUE im-plementation that buffers incoming URLs in memory,but keeps the bulk of URLs(or rather,their8-byte checksums)in sorted order on disk.Whenever the in-memory buffer?lls up,it is merged into the disk?le(which is a very expensive operation due to disk latency) and newly discovered URLs are passed on to the Frontier.

Both the disk-based DUE and the Host Splitter bene?t from URL caching.Adding a cache to the disk-based DUE makes it possible to discard incoming URLs that hit in the cache(and thus are du-plicates)instead of adding them to the in-memory buffer.As a result,the in-memory buffer?lls more slowly and is merged less frequently into the disk?le,thereby reducing the penalty imposed by disk latency.Adding a cache to the Host Splitter makes it possi-ble to discard incoming duplicate URLs instead of sending them to the peer node,thereby reducing the amount of network traf?c.This reduction is particularly important in a scenario where the individ-ual crawling machines are not connected via a high-speed LAN(as they were in our experiment),but are instead globally distributed. In such a setting,each crawler would be responsible for web servers “close to it”.

Mercator performs an approximation of a breadth-?rst search traversal of the web graph.Each of the(typically500)threads in each process operates in parallel,which introduces a certain amount of non-determinism to the traversal.More importantly, the scheduling of downloads is moderated by Mercator’s politeness policy,which limits the load placed by the crawler on any partic-ular web server.Mercator’s politeness policy guarantees that no server ever receives multiple requests from Mercator in parallel;in addition,it guarantees that the next request to a server will only be issued after a multiple(typically10)of the time it took to answer the previous request has passed.Such a politeness policy is essen-tial to any large-scale web crawler;otherwise the crawler’s operator becomes inundated with complaints.

Figure1:The?ow of URLs and pages through our Mercator setup 4.2Our web crawl

Our crawling hardware consisted of four Compaq XP1000work-

stations,each one equipped with a667MHz Alpha processor,1.5

GB of RAM,144GB of disk2,and a100Mbit/sec Ethernet con-

nection.The machines were located at the Palo Alto Internet Ex-

change,quite close to the Internet’s backbone.

The crawl ran from July12until September3,2002,although

it was actively crawling only for33days:the downtimes were

due to various hardware and network failures.During the crawl,

the four machines performed1.04billion download attempts,784

million of which resulted in successful downloads.429million of

the successfully downloaded documents were HTML pages.These

pages contained about26.83billion links,equivalent to an average

of62.55links per page;however,the median number of links per

page was only23,suggesting that the average is in?ated by some

pages with a very high number of links.Earlier studies reported

only an average of8links[9]or17links per page[33].We offer

three explanations as to why we found more links per page.First, we con?gured Mercator to not limit itself to URLs found in anchor tags,but rather to extract URLs from all tags that may contain them (e.g.image tags).This con?guration increases both the mean and the median number of links per page.Second,we con?gured it to download pages up to16MB in size(a setting that is signi?cantly higher than usual),making it possible to encounter pages with tens 3Given that on average about30%of the links on a page are du-plicates of links on the same page,one might be tempted to elim-inate these duplicates during link extraction.However,doing so is costly and has little bene?t.In order to eliminate all duplicates, we have to either collect and then sort all the links on a page,or build a hash table of all the links on a page and read it out again. Given that some pages contain tens of thousands of links,such a scheme would most likely require some form of dynamic memory management.Alternatively,we could eliminate most duplicates by maintaining a?xed-sized cache of URLs that are popular on that page,but such a cache would just lower the hit-rate of the global cache while in?ating the overall memory requirements.

number to the number of unique?ngerprints,which we determined using an in-memory hash table on a very-large-memory machine. This data reduction step left us with four condensed host splitter logs(one per crawling machine),ranging from51GB to57GB in size and containing between6.4and7.1billion URLs.

In order to explore the effectiveness of caching with respect to inter-process communication in a distributed crawler,we also ex-tracted a sub-trace of the Host Splitter logs that contained only those URLs that were sent to peer crawlers.These logs contained 4.92billion URLs,or about19.5%of all URLs.We condensed the sub-trace logs in the same fashion.We then used the condensed logs for our simulations.

5.SIMULATION RESULTS

We studied the effects of caching with respect to two streams of URLs:

1.A trace of all URLs extracted from the pages assigned to a

particular machine.We refer to this as the full trace.

2.A trace of all URLs extracted from the pages assigned to

a particular machine that were sent to one of the other ma-

chines for processing.We refer to this trace as the cross sub-trace,since it is a subset of the full trace.

The reason for exploring both these choices is that,depending on other architectural decisions,it might make sense to cache only the URLs to be sent to other machines or to use a separate cache just for this purpose.

We fed each trace into implementations of each of the caching algorithms described above,con?gured with a wide range of cache sizes.We performed about1,800such experiments.We?rst de-scribe the algorithm implementations,and then present our simula-tion results.

5.1Algorithm implementations

The implementation of each algorithm is straightforward.We use a hash table to?nd each item in the cache.We also keep a separate data structure of the cache items,so that we can choose one for eviction.For RANDOM,this data structure is simply a list.For CLOCK,it is a list and a clock handle,and the items also contain“mark”bits.For LRU,it is a heap,organized by last access time.STATIC needs no extra data structure,since it never evicts items.MIN is more complicated since for each item in the cache, MIN needs to know when the next request for that item will be.We therefore describe MIN in more detail.

Let be the trace or sequence of requests,that is,is the item requested at time.We create a second sequence containing the time when next appears in.If there is no further request for after time,we set.Formally,

if s.t.

otherwise.

To generate the sequence,we read the trace backwards, that is,from down to0,and use a hash table with key and value.For each item,we probe the hash table.If it is not found,we set and store in the table.If it is found, we retrieve,set,and replace by in the hash table.

Given,implementing MIN is easy:we read and in parallel,and hence for each item requested,we know when it will be requested next.We tag each item in the cache with the time when it will be requested next,and if necessary,evict the item with the highest value for its next request,using a heap to identify it quickly.

5.2Results

We present the results for only one crawling host.The results for the other three hosts are quasi-identical.Figure2shows the miss rate over the entire trace(that is,the percentage of misses out of all requests to the cache)as a function of the size of the cache.We look at cache sizes from to.In Figure3we present the same data relative to the miss-rate of MIN,the optimum off-line algorithm.The same simulations for the cross-trace are depicted in Figures4and5.

For both traces,LRU and CLOCK perform almost identically and only slightly worse than the ideal MIN,except in the criti-cal region discussed below.RANDOM is only slightly inferior to CLOCK and LRU,while STATIC is generally much worse.There-fore,we conclude that there is considerable locality of reference in the trace,as explained in Section3.6.

For very large caches,STATIC appears to do better than MIN. However,this is just an artifact of our accounting scheme:we only charge for misses and STATIC is not charged for the initial loading of the cache.If STATIC were instead charged misses for the initial loading of its cache,then its miss rate would be of course worse than MIN’s.

STATIC does relatively better for the cross trace than for the full trace.We believe this difference is due to the following fact:in the cross trace,we only see references from a page on one host to a page on a different host.Such references usually are short,that is, they do not go deep into a site and often they just refer to the home page.Therefore,the intersection between the most popular URLs and the cross-trace tends to be larger.

The most interesting fact is that as the cache grows,the miss rate for all of the ef?cient algorithms is roughly constant at70%until the region from to,which we call the critical region.Above,the miss rate drops abruptly to20%after which we see only a slight improvement.

We conjecture that this critical region is due to the following phenomenon.Assume that each crawler thread produces URLs as follows:

With probability,it produces URLs from a global set, which is common to all threads.

With probability,it produces URLs from a local set.This set is speci?c to a particular page on a particular host on which the thread is currently working and is further divided into,the union of a small set of very popular URLs on the host(e.g.home page,copyright notice,etc.)and a larger set of URLs already encountered4on the page,and ,a larger set of less popular URLs on the host.

With probability,it produces URLs chosen at random over the entire set of URLs.

We know that is small because STATIC does not perform well. We also know that is about20%for the full trace because the miss rate does not decrease substantially after the critical region. Therefore,is large and the key factor is the interplay between and.We conjecture that for small caches,all or most of plus maybe the most popular fraction of is in the cache.These URLs account for15-30%of the hits.If is substantially larger than,say ten times larger,increasing the cache has little bene?t

Log cache size 0

20

406080100

A b s o l u t e m i s s r a t e (p e r c e n t )

STATIC RANDOM LRU CLOCK MIN

INFINITE

Log cache size

R e l a t i v e m i s s r a t e (M i n =1)

STATIC RANDOM LRU CLOCK MIN

Figure 2:Miss rate as a function of cache size for the full trace

Figure 3:Relative miss rate (MIN =1)as a function of cache size for the full

trace

Log cache size 0

20406080100

A b s o l u t e m i s s r a t e (p e r c e n t )

STATIC RANDOM LRU CLOCK MIN

INFINITE

Log cache size

R e l a t i v e m i s s r a t e (M i n =1)

STATIC RANDOM LRU CLOCK MIN

Figure 4:Miss rate as a function of cache size for the cross sub-trace

Figure 5:Relative miss rate (MIN =1)as a function of cache size for the cross sub-trace

until a substantial portion of ?ts in the cache.Then the increase

will be linear until all of

is contained in the cache.After ?ts entirely in the cache,we have essentially exhausted the bene?ts of caching,and increasing the cache size further is fruitless.

To test this hypothesis further,we performed two additional short crawls:a half-day crawl using 100threads per process and a two-day crawl using 20threads per process.Each crawl collected URL traces from the Host Splitter of 53–75million URLs,which we condensed in the same manner as described earlier.We also iso-lated the ?rst 70million URLs of the full crawl’s trace,which used 500threads.Figures 6and 7compare the effectiveness of applying CLOCK with various cache sizes to these three traces.As expected,the critical region starts further to the left as the number of threads decreases,because with fewer threads is smaller and we start having a substantial portion of in the cache earlier.

This trend is seen even more clearly in Figures 8and 9where we depict the miss rate as a function of the cache size divided by the number of threads.In this case,the curves corresponding to various

number of threads almost coincide.Thus,for practical purposes the controlling variable is the allocated cache size per thread.

Finally,we investigated how the miss rate varies over time.We

used a cache size

,well past the critical region.As can be seen in Figures 10and 11,the differences are small and the miss rate stabilizes about 1-2billion URLs into the full trace.There is a slight increase towards the end in the full trace,probably due to the fact that by then the crawl is deep into various sites and most URLs have not been seen before.(The in?nite cache also suffers an increase in miss rate.)

Log cache size A b s o l u t e m i s s r a t e (p e r c e n t )

CLOCK-20 threads CLOCK-100 threads

CLOCK-500 threads

Log cache size

A b s o l u t e m i s s r a t e (p e r c e n t )

CLOCK-20 threads CLOCK-100 threads CLOCK-500 threads

Figure 6:Miss rate as a function of cache size for the full trace for various numbers of threads (using CLOCK)Figure 7:Miss rate as a function of cache size for the cross sub-trace for various numbers of threads (using

CLOCK)

Cache size / Number of threads A b s o l u t e m i s s r a t e (p e r c e n t

)

CLOCK-20 threads CLOCK-100 threads CLOCK-500 threads Cache size / Number of threads

A b s o l u t e m i s s r a t e (p e r c e n t

)

CLOCK-20 threads

CLOCK-100 threads CLOCK-500 threads

Figure 8:Miss rate as a function of cache size per thread for the full trace Figure 9:Miss rate as a function of cache size per thread for the cross sub-trace

0246Number of cache probes (billions)0

20406080100

A b s o l u t e m i s s r a t e (p e r c e n t )

STATIC RANDOM LRU CLOCK MIN

INFINITE

0.0

0.5 1.0 1.5

Number of cache probes (billions)

020*********A b s o l u t e m i s s r a t e (p e r c e n t )

STATIC RANDOM LRU CLOCK MIN

INFINITE

Figure 10:Miss rate as a function of time for the full trace

(Cache size =

)Figure 11:Miss rate as a function of time for the cross sub-trace

(Cache size =)

6.CACHE IMPLEMENTATIONS

In this section,we discuss the practical implementation of URL caching for web crawling.

To represent the cache,we need a dictionary,that is,a data struc-ture that ef?ciently supports the basic operations insert,delete and search.In addition,for ef?ciency reasons,we would like to support the caching algorithms discussed above at minimal extra memory cost5.In our case,the dictionary keys are URL?ngerprints,typi-cally8-9bytes long.Let be the length of this?ngerprint in bits. We present two solutions that are quite economical for both space and time:Direct circular chaining and Scatter tables with circular lists.The latter is slightly more complicated but needs only

bits per entry to implement the cache and RANDOM together,and bits to implement the cache and CLOCK together.

For both structures,we use Lampson’s abbreviated keys tech-nique(see[25,p.518]).The idea is to have a hash function

and another function such that given and,the key can be uniquely recovered.Since in our case the keys are URL?ngerprints which are already quite well distributed we can proceed as follows:To hash into a table of size we simply take the most signi?cant bits of the?ngerprint as the hash function and take the least signi?cant bits as the function.Thus instead of storing bits per URL we store bits per URL.We will use the“saved”bits for links among the keys that hash to the same location.

Figure12:Hashing with direct chaining

To describe our structures it is useful to recall hashing with direct chaining.(See e.g.[19,section3.3.10]and references therein).In this method,keys are hashed into a table.The keys are not stored in the table but each table entry contains a pointer to a linked list of all keys that hash to the same entry in the table as illustrated in Figure12.

Direct circular chaining(Figure13)is derived from direct chain-ing as follows:We store all the lists in one array of size,so instead of storing pointers we just store indices in the array,requir-ing bits each.This array will be the array of cache entries,and RANDOM and CLOCK will be implemented on this array. Observe that the size of the hash table can be smaller than,say ,although in this case the average length of the chains is. Using Lampson’s scheme,for each entry in the array we will have to store bits to identify the key and bits for the pointer, that is,a total of bits.

7.CONCLUSIONS AND FUTURE DIREC-

TIONS

After running about1,800simulations over a trace containing 26.86billion URLs,our main conclusion is that URL caching is very effective–in our setup,a cache of roughly50,000entries can achieve a hit rate of almost80%.Interestingly,this size is a critical point,that is,a substantially smaller cache is ineffectual while a substantially larger cache brings little additional bene?t. For practical purposes our investigation is complete:In view of our discussion in Section5.2,we recommend a cache size of between 100to500entries per crawling thread.All caching strategies per-form roughly the same;we recommend using either CLOCK or RANDOM,implemented using a scatter table with circular chains. Thus,for500crawling threads,this cache will be about2MB–completely insigni?cant compared to other data structures needed in a crawler.If the intent is only to reduce cross machine traf?c in a distributed crawler,then a slightly smaller cache could be used.In either case,the goal should be to have a miss rate lower than20%. However,there are some open questions,worthy of further re-search.The?rst open problem is to what extent the crawl order strategy(graph traversal method)affects the caching performance. Various strategies have been proposed[14],but there are indica-tions[30]that after a short period from the beginning of the crawl the general strategy does not matter much.Hence,we believe that caching performance will be very similar for any alternative crawl-ing strategy.We can try to implement other strategies ourselves,but ideally we would use independent crawls.Unfortunately,crawling on web scale is not a simple endeavor,and it is unlikely that we can obtain crawl logs from commercial search engines.

In view of the observed fact that the size of the cache needed to achieve top performance depends on the number of threads,the second question is whether having a per-thread cache makes sense. In general,but not always,a global cache performs better than a collection of separate caches,because common items need to be stored only once.However,this assertion needs to be veri?ed in the URL caching context.

The third open question concerns the explanation we propose in Section5regarding the scope of the links encountered on a given host.If our model is correct then it has certain implications regard-ing the appropriate model for the web graph,a topic of consider-able interest among a wide variety of scientists:mathematicians, physicists,and computer scientists.We hope that our paper will stimulate research to estimate the cache performance under various models.Models where caching performs well due to correlation of links on a given host are probably closer to reality.We are making our URL traces available for this research by donating them to the Internet Archive.

8.ACKNOWLEDGMENTS

We would like to thank Dennis Fetterly for his help in managing our crawling machines and in?ghting the various problems that we encountered during the data collection phase and Torsten Suel for his many valuable comments and suggestions.

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初二新学期计划

初二新学期计划800字; 新的学期已经开始了。我们告别了初一生活,迎来了一个比较重要的时期初二年级。在这个学年中,知识会更加有难度,并且也是个两极分化的时候。在这个学期中,我们可能要遇到各种各样的问题,也会经历一些坎坷,有时候在学习中,更会出现一些困难。所以在这个学期开始之前,我们要为自己制定一份新学期计划,来让这个学年度过的更加有调理,更加顺利。 首先,在学习方面要有好的学习方法,努力做到事半功倍,遇到问题一定不能视而不见,要积极去解决这些问题,平时在课前要做好预习的功课,课堂上也要认真听讲,认真思考,全身心的投入,课后要巩固今天所学到的知识。作业也一定要认真完成好,尽量少出现错误。在学习之余,也可以做一些练习题,让学到的知识变得更加牢固,因为熟能生巧,所以我们一定要注意平时的学习。 其次,是常规和纪律方面。好的习惯是生活中很必要的,所以我们在平时一定要注意常规方面的问题,从点滴做起,任何时候都要严格要求自己,并且时时刻刻遵从老师的要求。纪律是学习的前提,所以在每时每刻,都要遵守校规班规,不违纪。并且我相信自己一定会继续发扬自己的优点,也会努力改正自己在各方面的问题,在严格要求自己的情况下,也要提醒和帮助其他同学,一起让班级整体变得更加完美。 最后,要尽快适应初二的学习生活,做最好的自己。当然,我身

为班干部,一定要处处为班级着想,多为班级建设作出贡献,也要为班级的一些事情出谋划策,尽自己的一份力。不能因为自己而给班级拖后腿,在班级中要积极担当责任,也要有责任心,把老师交给自己的任务落实好。身为团员,在平时,也要多听取同学和老师对自己提出的建议和意见,不断的提高和完善自己。 同时,希望在新的一个学期中,八3班在八年级中,学习成绩排名前列,在全校纪律方面、常规方面做一个佼佼者,在活动方面也可以获得更多的荣誉。做一个成绩优异,踏实而富有特色的班级。同学之间关系融洽,使班级整体更加有凝聚力。希望八3班在每一项活动和评比中,都会做的更加出色! 谢谢阅读!

初二新学期计划600字

初二新学期计划600字 新学期打算作文马上就要开学了,开学后我就是初二的学生了。初二的到来,自己慢慢地有一点危机感了,害怕同学超越自己。为了能在初二学的好一点,我决定现在就想好新学期的打算。 第一,我决定学会放弃。在前两个学期里,我经常去上网、看小说、睡觉,对于老师布置的作业也不认真完成。对于这些流失的时间,我不能挽回,我一 定要把握。但是我不怕,放弃了会让我更认真点。那些东西以后来做也一样, 何必就要现在呢?我对自己说。 第二,我决定抓不足。在我的成绩中是不平均的,分数高的和分数低的相 差几十分。以前的两个学期我的思想还不够成熟,想法还比较简单。现在我不 以前那想法简单的自己了,我有了自己的目标,自己的想法,我的记忆也更好了。为了自己的成绩能在平均中上等,我决定在自己擅长的科目不放过,对于 自己不懂的向别人学习。 第三,我决定在每一次周测后都会认真去反思我之前的错误。每一个人都 会有不同的错误,而且也不会没有错误。在以前,每一次周测下来我都会有许 多错误。那些错误的地方看起来我我都知道,但还是做错了。过去我不认真去 反思,去发现自己的错误,去改正它。但是在这个学期,我会去认真改正,我 会以最还得状态去面对新的学期。 还有,在初一我发现有许多人比我努力。在我们班上有一个人,她在初一 的时候英语很不好,比我还差。但是后来她努力了,现在已经在中上了。她现

在还是默默无闻地认真学习,她不懂感认真像我们请教。老师您多次叫我向她学习,这回我认识到了,你是对的,我早都有向她学习了。我有许多的坏习惯了,骄傲是我最大的弱点,我会改的——在这个学期。英语我一定会跟上去,相信我。 新的学期,我会有新的改变。老师请你相信,我会给您带来惊喜!

初二新学期计划范文精选5篇

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态去面对新的学期。 还有,在初一我发现有许多人比我努力。在我们班上有一个人,她在初一的时候英语很不好,比我还差。但是后来她努力了,现在已经在中上了。她现在还是默默无闻地认真学习,她不懂感认真像我们请教。老师您多次叫我向她学习,这回我认识到了,你是对的,我早都有向她学习了。我有许多的坏习惯了,骄傲是我最大的弱点,我会改的——在这个学期。英语我一定会跟上去,相信我。 新的学期,我会有新的改变。老师请你相信,我会给您带来惊喜! 初二新学期计划2 凡事预则立,不预则废。新的学期我确立了新的目标,“学习成绩进位争先,能力素质全面发展”,为此,我制定了新学期计划。 在文化课学习上,坚持课前预习、课后复习,按时完成老师布置的作业,上课认真听讲,积极思考,踊跃发言,平时遇到学习上的问题及时请教,多与同学交流,不让问题过夜。在语文学习方面,侧重多读,关心国家大事,养成每天读报的习惯,坚持每周安排半天课外阅读,一个月看一本中外名著,一学期看一集中学生范文选,扩大知识面,提高作文水平;在数学学习方面,侧重多练,每天晚上坚持一小时数学练习,每周坚持半天奥数学习,及时巩固和深化课堂学习,拓宽解题思路,提高解题速度;

绘制世界中国地图的一般步骤

绘制世界中国地图的般步骤 一、世界地图 1. 欧洲、地中海部分麻烦,大家对该轮廓关注程度高,先画 2. 接下来画非洲、阿拉伯半岛,控制好框架 3.

绘制世界中国地图的般步骤42北冰洋沿岸可以简略处理,但要控制好白令海峡处的位置 3.

6.3.再画南亚、印度洋海岸 7. 84从堪察加半岛一笔画至越南南部,停顿观察与南亚部分的衔接,看看是否需要 修 改。

10.5.澳大利亚、南北美洲相对容易一些,但控制好框架最重要 12.6.画上赤道是检验世界地图画得成功与否的关键, 画得不好 露位置不准。 9. 11. 条直线过来就会暴

7. 有了轮廓图,就可以讲述海洋中的洋流、陆地上的山脉、河流、城市 8. 当然画一下完整的大西洋海岸是很有必要的。 二、中国地图 1. 从我国最北端“ 一笔三弯”绘到我国最东点 主要是针对版面,可控制中国地图的高度和最东,同时该线也决定了中国地图的大 小。当然,不管先画那一处,第一笔都决定着整个中国地图的大小。 2. 由北向下绘出中国雄鸡的头和嘴 该笔最受关注,整个中国图好不好,就看雄鸡的头和嘴。 3. 由西北端向东绘“三弯一提”。 4. 基本可以控制东西方的地图宽度,最东点、鸡嘴、西北阿尔泰几乎在一水平线, 13.

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初二新学期计划字 HEN system office room 【HEN16H-HENS2AHENS8Q8-HENH1688】

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查; 5、及时总结经验教训,积累解题技巧,提高解题能力; 6、遇到不会做的题,不要急于问老师,更不能抄袭别人的作业,要在复习功课的基础上,要通过层层分析,步步推理,多方联系,理出头绪,要下决心独立完成作业; 7、像历史、地理、生物、政治这些需要背的科目,要先背再做。 五、课后复习。 1、及时复习; 2、计划复习; 3、课本、笔记和教辅资料一起运用; 4、提高复习质量。 做好以上五点是不容易的,那需要持之以恒,我决心做到。 送走了初一,我们又迎来了初二的新学期,在每一个全新的起点,我们每个人都会有一种期盼:明天的我要更精彩。因此,我们会更多地在对美好未来的憧憬中,展现着自己迎接新学期的新气象。相信在这种新气象的感染和鼓舞下。 首先,应该先纠正自己的学习态度。“态度决定一切!”心态是取得成功的一个非常关键的环节,拥有好的心态,就会拥有好的成绩! 在语文方面,我会做到课前预习,认识本课生字生词,

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做到最好!考试还是平时测验都要认真对待,把知识点学到点学到位。除了学习,课外的活动也是必不可缺的,体育课多活动锻炼身体。有时间可以多看看书,把自己的知识量扩大。每天晚上睡前读些单词。相信把这些做好,这个学期应该就能愉快又轻松的度过! 奋斗吧!为了迎接即将到来6年级的“挑战”。奋斗吧!为了期中期末考卷上那令自己满意的分数。奋斗吧!为了自己知识量的提高。奋斗吧!骚年!

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