02 - Structural Programming(Chapter 2-7)
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two-stage stochastic programmingTwo-stage stochastic programming is a mathematical optimization approach used to solve decision-making problems under uncertainty. It is commonly applied in various fields such as operations research, finance, energy planning, and supply chain management. In this approach, decisions are made in two stages: the first stage involves decisions made before uncertainty is realized, and the second stage involves decisions made after observing the uncertain events.In two-stage stochastic programming, the decision-maker aims to optimize their decisions by considering both the expected value and the risk associated with different outcomes. The problem is typically formulated as a mathematical program with constraints and objective functions that capture the decision variables, uncertain parameters, and their probabilistic distributions.The first stage decisions are typically made with theknowledge of the uncertain parameters, but without knowing their actual realization. These decisions are usually strategic and long-term in nature, such as investment decisions, capacity planning, or resource allocation. The objective in the first stage is to minimize the expected cost or maximize the expected profit.The second stage decisions are made after observing the actual realization of the uncertain events. These decisions are typically tactical or operational in nature, such as production planning, inventory management, or scheduling. The objective in the second stage is to minimize the cost or maximize the profit given the realized values of the uncertain parameters.To solve two-stage stochastic programming problems, various solution methods can be employed. One common approach is to use scenario-based methods, where a set of scenarios representing different realizations of the uncertain events is generated. Each scenario is associated with a probability weight, and the problem is then transformed into a deterministic equivalent problem byreplacing the uncertain parameters with their corresponding scenario values. The deterministic problem can be solved using traditional optimization techniques such as linear programming or mixed-integer programming.Another approach is to use sample average approximation, where the expected value in the objective function is approximated by averaging the objective function valuesover a large number of randomly generated scenarios. This method can be computationally efficient but may introduce some approximation errors.Furthermore, there are also robust optimization techniques that aim to find solutions that are robust against the uncertainty, regardless of the actualrealization of the uncertain events. These methods focus on minimizing the worst-case cost or maximizing the worst-case profit.In summary, two-stage stochastic programming is a powerful approach for decision-making under uncertainty. It allows decision-makers to consider both the expected valueand the risk associated with uncertain events. By formulating the problem as a mathematical program and employing various solution methods, optimal or near-optimal solutions can be obtained to guide decision-making in a wide range of applications.。
Course Design of Data Structures and AlgorithmAnalysis C++ Version (2nd Edition) ObjectiveThe primary objective of this course design is to reinforce the understanding of data structures and algorithms through implementationin C++ programming language. The course also ms to familiarize students with the usage of various C++ libraries while designing and implementing algorithms. By the end of this course design, students should be able to: •Understand the characteristics and properties of basic data structures such as arrays, stacks, queues, trees, graphs, andsearching/sorting algorithms.•Analyze the efficiency and complexity of algorithms using big O notation•Design and implement data structures and algorithms using C++ programming language, including OOP concepts such asinheritance and polymorphism.•Solve real-world problems using data structures and algorithms.SynopsisThe course design focuses on the following topics:1.Introduction to Data Structures and Algorithm Analysis2.Arrays and Vectors3.Linked Lists4.Stacks and Queues5.Trees6.Graphs7.Searching8.Sorting9.Hashing10.Binary Heaps and Priority Queues11.Heapsort12.Balanced Search Trees13.Advanced TopicsThe course design emphasizes practical implementation, therefore, each topic is accompanied by coding exercises using C++ programming language. Additionally, students are required to implement one major project in a team of two or three, which involves the usage of data structures and algorithms studied in class to solve a real-world problem.GradingThe final grade for this course design will be based on thefollowing criteria:•30%: Programming assignments•30%: Final project•20%: Mid-term exam•20%: Final examPrerequisitesIt is expected that students have a good understanding of programming concepts and basic data structures such as arrays, linked lists, and stacks/queues. Additionally, knowledge of object-oriented programming (OOP) concepts such as inheritance, polymorphism, and encapsulation is required.Course MaterialsThe primary course material will be the textbook。
编译原理第二版课后答案张素琴【篇一:清华大学编译原理第二版课后习答案】ss=txt>第 1 章引论第 1 题解释下列术语:(1)编译程序(2)源程序(3)目标程序(4)编译程序的前端(5)后端(6)遍答案:(1)编译程序:如果源语言为高级语言,目标语言为某台计算机上的汇编语言或机器语言,则此翻译程序称为编译程序。
(2)源程序:源语言编写的程序称为源程序。
(3)目标程序:目标语言书写的程序称为目标程序。
(4)编译程序的前端:它由这样一些阶段组成:这些阶段的工作主要依赖于源语言而与目标机无关。
通常前端包括词法分析、语法分析、语义分析和中间代码生成这些阶段,某些优化工作也可在前端做,也包括与前端每个阶段相关的出错处理工作和符号表管理等工作。
(5)后端:指那些依赖于目标机而一般不依赖源语言,只与中间代码有关的那些阶段,即目标代码生成,以及相关出错处理和符号表操作。
(6)遍:是对源程序或其等价的中间语言程序从头到尾扫视并完成规定任务的过程。
第 2 题一个典型的编译程序通常由哪些部分组成?各部分的主要功能是什么?并画出编译程序的总体结构图。
答案:一个典型的编译程序通常包含8 个组成部分,它们是词法分析程序、语法分析程序、语义分析程序、中间代码生成程序、中间代码优化程序、目标代码生成程序、表格管理程序和错误处理程序。
其各部分的主要功能简述如下。
词法分析程序:输人源程序,拼单词、检查单词和分析单词,输出单词的机内表达形式。
语法分析程序:检查源程序中存在的形式语法错误,输出错误处理信息。
语义分析程序:进行语义检查和分析语义信息,并把分析的结果保存到各类语义信息表中。
中间代码生成程序:按照语义规则,将语法分析程序分析出的语法单位转换成一定形式的中间语言代码,如三元式或四元式。
《编译原理》课后习题答案第一章目标代码生成程序:将优化后的中间代码程序转换成目标代码程序。
表格管理程序:负责建立、填写和查找等一系列表格工作。
Mplus应⽤说明B_T_002_02基础语法与应⽤第⼀篇1. 基础语法与应⽤1.1.建⽴因变量和潜变量之间的逻辑关系。
也就是打算建⽴的模型结构。
按照模型结构梳理数据,准备好数据⽂件,编写模型代码和估计⽅式,运⾏,获取各路径的参数,分析结果,推出结论。
因此,Mplus运⾏的逻辑就是从关系模型到运算结果,中间采⽤Mplus程序进⾏逻辑组织,也就是从逻辑代码出发或者利⽤Diagrammer(Mplus提供的关系图制作⼯具)从关系图出发,运⾏结果,并标注到关系图上,以便为相关研究提供结论。
Mplus提供了向导⼯具,对SEM,EFA等采集必要信息,⾃动⽣成模型代码,供运⾏查阅结果。
具体见Mplus->Language Generator下各菜单功能。
算是⼀个发展⽅向。
Diagrammer可以直观构建模型,并同步编写代码。
1.2. MplusMplus采⽤标志段加简单语句构成语⾔结构,不是通⽤语⾔结构,不能进⾏特定算法逻辑表达,可以看作是内部实现的运算功能的参数表。
标志段,Mplus称为命令(command),冒号隔开后按照命令的种类提供相应参数,⽤分号将各参数设置隔开。
代码段每⾏最多不得超过90个字符,如果超过,将被截断,⽽且截断后报错语句不完整。
Data、Variable是所有Mplus分析程序必须有的两个命令。
!*作为注释开头,直到*!,⾸尾之间内容都是注释,不进⾏解释运⾏。
在编辑器中使⽤时,他不会识别到全部注释并以正确的颜⾊标记,但是不影响正常使⽤(单⾏注释是没有问题的)。
这个bug可以给Muthén兄弟还是⽗⼦俩提提。
命令和参数都可以简写成四个字以上的形式。
变量、关键字没有⼤⼩写区分,也就是⼤⼩写随意。
例如定义变量时:Vari: names are Y1 XY1-XY4;model: y1 on xy1,xy3-xy4;“-”作为序列关键字,不论是在定义变量名称还是在模型使⽤名称时,都可以⽤他来简写序列名称,如XVal1-XVal3和XVal1 XVal2 XVal3等价。
Chapter 2-7 Structural ProgrammingIntroducing Programming with anExampleListing 2.1 Computing the Area of aCircleThis program computes the area of thecircle.ComputeAreaRunpublic class ComputeArea {/** Main method */public static void main(String[] args) {double radius;double area;// Assign a radiusradius = 20;// Compute areaarea = radius * radius * 3.14159;// Display resultsSystem.out.println("The area for the circle of radius " + radius + " is " + area);}}no value radiusallocate memoryfor radiuspublic class ComputeArea { /** Main method */public static void main(String[] args) {double radius;double area;// Assign a radiusradius = 20;// Compute areaarea = radius * radius * 3.14159;// Display resultsSystem.out.println("The area for the circle of radius " + radius + " is " + area);}}no value radiusmemoryno value areaallocate memoryfor areapublic class ComputeArea { /** Main method */public static void main(String[] args) {double radius;double area;// Assign a radiusradius = 20;// Compute areaarea = radius * radius * 3.14159;// Display resultsSystem.out.println("The area for the circle of radius " + radius + " is " + area);}}20radiusno value areaassign 20 to radiuspublic class ComputeArea { /** Main method */public static void main(String[] args) {double radius;double area;// Assign a radiusradius = 20;// Compute areaarea = radius * radius * 3.14159;// Display resultsSystem.out.println("The area for the circle of radius " + radius + " is " + area);}}20radiusmemory1256.636areacompute area and assign itto variable areapublic class ComputeArea { /** Main method */public static void main(String[] args) {double radius;double area;// Assign a radiusradius = 20;// Compute areaarea = radius * radius * 3.14159;// Display resultsSystem.out.println("The area for the circle of radius " + radius + " is " + area);}}20 radiusmemory1256.636 areaprint a message to the consoleReading Input from the Console1. Create a Scanner objectScanner input = new Scanner(System.in);2. Use the methods next(), nextByte(), nextShort(), nextInt(), nextLong(), nextFloat(),nextDouble(), or nextBoolean()to obtain to a string, byte, short, int, long, float, double, or boolean value. For example,System.out.print("Enter a double value: ");Scanner input = new Scanner(System.in);double d = input.nextDouble();ComputeAreaWithConsoleInput RunComputeAverage RunIdentifiers☞An identifier is a sequence of characters that consist of letters, digits, underscores (_), and dollar signs ($).☞An identifier must start with a letter, an underscore (_), or a dollar sign ($). It cannot start with a digit.–An identifier cannot be a reserved word. (See Appendix A,“Java Keywords,” for a list of reserved words).☞An identifier cannot be true, false, ornull.☞An identifier can be of any length.Constantsfinal datatype CONSTANTNAME = VALUE;final double PI = 3.14159;final int SIZE = 3;Numerical Data TypesName Range Storage Size byte –27 (-128) to 27–1 (127) 8-bit signed short –215 (-32768) to 215–1 (32767) 16-bit signed int –231 (-2147483648) to 231–1 (2147483647) 32-bit signed long –263 to 263–1 64-bit signed(i.e., -9223372036854775808to 9223372036854775807)f loat Negative range: 32-bit IEEE 754-3.4028235E+38 to -1.4E-45Positive range:1.4E-45 to 3.4028235E+38d ouble Negative range: 64-bit IEEE 754-1.7976931348623157E+308 to-4.9E-324Positive range:4.9E-324 to 1.7976931348623157E+308Numeric OperatorsName Meaning Example Result + Addition 34 + 1 35- Subtraction 34.0 – 0.1 33.9* Multiplication 300 * 30 9000/ Division 1.0 / 2.0 0.5% Remainder 20 % 3 2Integer Division+,-,*,/,and%5/2yields an integer2.5.0/2yields a double value2.55%2yields1(the remainder of the division)Problem: Displaying Time Write a program that obtains minutes from seconds.DisplayTime RunNOTECalculations involving floating-point numbers are approximated because these numbers are not stored with complete accuracy. For example,System.out.println(1.0-0.1-0.1-0.1-0.1-0.1); displays0.5000000000000001,not0.5,and System.out.println(1.0-0.9);displays 0.09999999999999998, not 0.1. Integers are stored precisely. Therefore, calculations with integers yield a precise integer result.Problem: Displaying Current Time Write a program that displays current time in GMT in the format hour:minute:second such as 1:45:19.The currentTimeMillis method in the System class returns the current time in milliseconds since the midnight, January 1, 1970 GMT . (1970 was the year when the Unix operating system was formally introduced.) You can use this method to obtain the current time, and then compute the current second, minute, and hour as follows.ShowCurrentTime RunElapsedtimeUnix Epoch01-01-197000:00:00 GMT Current Time Time System.currentTimeMills()Numeric Type Conversion Consider the following statements:byte i=100;long k=i*3+4;double d=i* 3.1+k/2;Conversion RulesWhen performing a binary operation involving twooperands of different types, Java automaticallyconverts the operand based on the following rules: 1.If one of the operands is double, the other isconverted into double.2.Otherwise, if one of the operands is float, the other isconverted into float.3.Otherwise, if one of the operands is long, the other isconverted into long.4.Otherwise, both operands are converted into int.Type CastingImplicit castingdouble d=3;(type widening)Explicit castingint i=(int)3.0;(type narrowing)int i = (int)3.9; (Fraction part is truncated)What is wrong?int x=5/2.0;range increasesbyte, short, int, long, float, doubleProblem: Keeping Two Digits AfterDecimal PointsWrite a program that displays the sales tax with two digits after the decimal point.SalesTax RunCharacter Data TypeFour hexadecimal digits.char letter='A';(ASCII)char numChar='4';(ASCII)char letter = '\u0041'; (Unicode)char numChar = '\u0034'; (Unicode)NOTE:The increment and decrement operators can also be used on char variables to get the next or preceding Unicode character. For example,the following statements display character b.char ch='a';System.out.println(++ch);Unicode FormatJava characters use Unicode, a 16-bit encoding scheme established by the Unicode Consortium to support the interchange, processing, and display of written texts in the world’s diverse languages. Unicode takes two bytes, preceded by \u, expressed in four hexadecimal numbers that run from '\u0000'to '\uFFFF'. So, Unicode can represent 65535 + 1 characters.Unicode \u03b1 \u03b2 \u03b3 for three GreeklettersProblem: Displaying Unicodes Write a program that displays two Chinese characters and three Greek letters.DisplayUnicode RunEscape Sequences for Special Characters Description Escape Sequence Unicode Backspace \b\u0008 Tab \t\u0009 Linefeed \n\u000A Carriage return \r\u000D Backslash \\\u005C Single Quote \'\u0027 Double Quote \"\u0022Appendix B: ASCII Character Set ASCII Character Set is a subset of the Unicode from \u0000 to \u007fASCII Character Set, cont.ASCII Character Set is a subset of the Unicode from \u0000 to \u007fCasting between char andNumeric Typesint i = 'a'; // Same as int i = (int)'a'; char c = 97; // Same as char c = (char)97;The String TypeThe char type only represents one character. To represent a string of characters, use the data type called String. For example,String message = "Welcome to Java";String is actually a predefined class in the Java library just like the System class and JOptionPane class. The String type is not a primitive type. It is known as a reference type. Any Java class can be used as a reference type for a variable.String Concatenation// Three strings are concatenatedString message = "Welcome " + "to " + "Java";// String Chapter is concatenated with number 2String s = "Chapter" + 2; // s becomes Chapter2// String Supplement is concatenated with character B String s1 = "Supplement" + 'B'; // s1 becomes SupplementBConverting Strings to IntegersThe input returned from the input dialog box is a string. If you enter a numeric value such as 123, it returns “123”. To obtain the input as a number, you have to convert a string into a number.To convert a string into an int value, you can use the static parseInt method in the Integer class as follows:int intValue = Integer.parseInt(intString);where intString is a numeric string such as “123”.Converting Strings to DoublesTo convert a string into a double value, you can use the static parseDouble method in the Double class as follows: double doubleValue =Double.parseDouble(doubleString); where doubleString is a numeric string such as “123.45”.Programming Style andDocumentation☞Appropriate Comments☞Naming Conventions☞Proper Indentation and Spacing Lines☞Block StylesAppropriate CommentsInclude a summary at the beginning of the program to explain what the program does, its key features, its supporting data structures, and any unique techniques it uses.Include your name, class section, instructor, date, and a brief description at the beginning of the program.Naming Conventions☞Choose meaningful and descriptive names.☞Variables and method names:–Use lowercase. If the name consists of severalwords, concatenate all in one, use lowercasefor the first word, and capitalize the first letterof each subsequent word in the name. Forexample, the variables radius and area, and the method computeArea.Naming Conventions, cont.☞Class names:–Capitalize the first letter of each word inthe name. For example, the class nameComputeArea.☞Constants:–Capitalize all letters in constants, and useunderscores to connect words. Forexample, the constant PI andMAX_VALUEProper Indentation and Spacing☞Indentation–Indent two spaces.☞Spacing–Use blank line to separate segments of the code.Block Styles Use end-of-line style for braces.public class Test{public static void main(String[] args){System.out.println("Block Styles");}}public class Test {public static void main(String[] args) { System.out.println("Block Styles");}} End-of-line styleNext-line styleProgramming Errors ☞Syntax Errors–Detected by the compiler☞Runtime Errors–Causes the program to abort☞Logic Errors–Produces incorrect resultSyntax Errorspublic class ShowSyntaxErrors{public static void main(String[]args){ i=30;System.out.println(i+4);}}Runtime Errorspublic class ShowRuntimeErrors{public static void main(String[]args){ int i=1/0;}}Logic Errorspublic class ShowLogicErrors{public static void main(String[]args){ //Add number1to number2int number1=3;int number2=3;number2+=number1+number2;System.out.println("number2is"+number2);}}DebuggingLogic errors are called bugs. The process of finding and correcting errors is called debugging. A common approach to debugging is to use a combination of methods to narrow down to the part of the program where the bug is located. You can hand-trace the program (i.e., catch errors by reading the program), or you can insert print statements in order to show the values of the variables or the execution flow of the program. This approach might work for a short, simple program. But for a large, complex program, the most effective approach for debugging is to use a debugger utility.DebuggerDebugger is a program that facilitates debugging. You can use a debugger to☞Execute a single statement at a time.☞Trace into or stepping over a method.☞Set breakpoints.☞Display variables.☞Display call stack.☞Modify variables.JOptionPane InputThis book provides two ways of obtaining input.ing the Scanner class (console input)ing JOptionPane input dialogsString input = JOptionPane.showInputDialog( "Enter an input");String string = JOptionPane.showInputDialog( null, “Prompting Message”, “Dialog Title”, JOptionPane.QUESTION_MESSAGE);Two Ways to Invoke the Method There are several ways to use the showInputDialog method. For the time being, you only need to know two ways to invoke it. One is to use a statement as shown in the example:String string = JOptionPane.showInputDialog(null, x,y, JOptionPane.QUESTION_MESSAGE);where x is a string for the prompting message, and y is a string for the title of the input dialog box.The other is to use a statement like this:JOptionPane.showInputDialog(x);where x is a string for the prompting message.Common ErrorsAdding a semicolon at the end of an if clause is a common mistake.if (radius >= 0);Wrong{area = radius*radius*PI;System.out.println("The area for the circle of radius " +radius + " is " + area);}This mistake is hard to find, because it is not a compilation error or a runtime error, it is a logic error.This error often occurs when you use the next-line block style.TIPif (number % 2 == 0) even = true;elseeven = false;(a) Equivalent boolean even= number % 2 == 0;(b)CAUTIONif (even == true)System.out.println( "It is even.");(a) Equivalent if (even)System.out.println("It is even.");(b)。