运筹学教学大纲英文版

1、Syllabus ofOperational researchCourse Name： Operational researchCourse Code：Credits： 4Total Credit Hours： 64Lecture Hours： 64Experiment Hours： 0Programming Hours： 0Practice Hours： 0Total Number of Experimental (Programming) Projects 0Where, Compulsory ( 0 ), Optional ( 0 ).School： Department of Mana

2、gement Science and Engineering, Business SchoolTarget Major： Industry engineering MajorI、Course Nature & AimsOperations research is an important economic management professional undergraduate course of professional basic course. The purpose of this course is to make students learn how to apply quant

3、itative methods in operational research and model to analysis and study of modern enterprise production and technology management and the management decision problem. Course tasks i is to introduce students system and mature operational research model . Make students to understand operational resear

4、ch in the production and technology management and the role of management decision making. Grasp the basic thought and the analysis and the train of thought to solve the problem. To master several important and mature operational research models: linear programming , integer programming, goal progra

5、mming, Transportation model, dynamic programming, network planning, storage model. Including the conditions of model, structural features, the basic steps and applied range.II、Course ObjectivesMoral Education and Character Cultivation.Through the course study, you have a comprehensive understanding

6、of the relevant knowledge of operations research. Through the explanation of the history of the development and development of operations research and the establishment of relevant theories and technologies, understand how predecessors think in the development process of operations research, how to

7、overcome the obstacles encountered, help students establish scientific thinking methods and be brave in work The spirit of the challenge. From the perspective of the role of operations research on Chinas innovation-driven development, with the research work of outstanding contributors as the carrier

8、, the education of socialist core values is integrated into the curriculum teaching content and all aspects of the entire teaching process, highlighting value guidance, knowledge transfer and ability training to help Students correctly understand the laws of history, accurately grasp the basic natio

9、nal conditions, grasp the scientific world outlook and methodology, and promote the establishment of a correct world outlook and values.V、Summary of Experimental (Programming) ProjectsNo experiment (programming) sessionVI、Teaching MethodThe teaching of this lesson is mainly based on teachers9 classr

10、oom lectures, supplemented by appropriate classroom discussions, classroom exercises and homework. The teaching process mainly uses blackboard writing, while strengthening teacher-student interaction and focusing on heuristic teaching.VII、Course Assessment and Achievement EvaluationAssessment Method

11、s： ExaminationExamination Formats： Closed-bookGrading Methods： Hundred-mark SystemCourse Assessment Content, Assessment Format and Supporting Course ObjectivesCourseObjectives (Indices)AssessmentContentAssessment Formats and Proportion ( % )GradingClassroomQuestioningAssignmentEvaluationRoutine Test

12、ExperimentReportTermReportTermPaperMidtermExamFinalExamProportion(%)Objective 1 (Index 1.2)The origin and development of operations research, the relationship between operations research and management2.57.510Objective 2(Index.7.8)Graphical method, linear programming modeling, simplex method,

13、 production and sales balance tariff, location2.51047.560selection problem, fixed cost problem, resource allocation problem, backpack problem, economic order batch model that does not allow out of stock, economic production that does not allow out of stock Batch model, shortest path, maximum flow, m

14、inimum spanning tree, uncertain decision, risk decisionObjective 3(Index9.10.11)M method, on-table operation method, assignment problem,51()1530Total102070100VHI Course ResourcesTextbooks：Han Botang. Management Operations Research (Fourth Edition), Higher Education Press, 2015.Bibliography：Qian Song

15、di. Operational Research (Fourth Edition), Tsinghua University Press, 2015.Reading Materials：NoIX、NotesPrerequisites: Advanced mathematics, probability theory and mathematical statistics, linear algebra, managementFollow-up Courses: Production operation managementContents and Requirements of Student

16、s1 Self-study: PreviewBilingual Teaching or Not: NotRequirements and Proportion of Bilingual Teaching: NoDiscipline and Considerations of Practice Session: No practice sessionNotes: NoAuthor：Approved by：Course ObjectivesThrough the study of this course, students* qualities, skills, knowledge and abi

17、lities obtained are as follows：Objective 1. Through the study of specific methods and models, understand the role of operations research as a method and tool for improving decision-making in business management decision-making;(Corresponding to Chapter 1., supporting for graduation requirements inde

18、x 1.2)Objective 2. Master the overall optimization ideas of operations research, master the functions and characteristics of basic models such as linear programming, integer programming, transportation problems, dynamic programming, storage theory, decision analysis, familiar with its modeling condi

19、tions, steps and corresponding skills, according to the actual background Abstract appropriate operation research models, master the solution methods of various models, especially deterministic models, and be able to make simple analysis of the solution results;(Corresponding to Chapter .8.10

20、.11.13.16, supporting for graduation requirements index 2.3.456.7.8)Objective 3. Master the basic concepts and basic principles related to the basic model, so that the ideas are clear and the concepts are clear; have the ability to use the ideas and methods of Operational Research to analyze and sol

21、ve practical problems.(Corresponding to Chapter .3.16 , supporting for graduation requirements index 9.10.11)Supporting for Graduation RequirementsThe graduation requirements supported by course objectives are mainly reflected in the graduation requirements indices ..9.

22、10.11, as follows:Supporting for Graduation RequirementsCourseObjectivesGraduation RequirementsIndices and Contents Supporting for Graduation RequirementsTeaching TopicsLevel ofSupportIndicesContentsObjective 1Understand the role ofoperations research as a method and tool to improve decision-making

23、in businessmanagement decisions.Index 1.2:Ability to apply mathematics, science and engineering knowledgeAbility to understand and use the latest industrial engineering technologies and toolsChapter 1LObjective 2Master the overallIndex3.System planningHoptimization idea of operations research, maste

24、r the functions and characteristics of the model, be able to abstract the appropriate operation research model according to the actual background, be proficient in the model solution method, and be able to make a simple analysis of the solution result.and design capabilities.Ability to analyze and i

25、nterpret data.Teamwork and leadership skills.Professional and ethical responsibilities.Ability to communicate effectively.Lifelong learning cognition and abilityObjective 3Master the basic concepts and basic principles related to the basic model, so that the ideas are clear and the concepts are clea

26、r; have the ability to use the ideas and methods of Operational Research to analyze and solve practical problems.9.Understanding of contemporary issues 10. Ability to understand the impact of engineering solutions on the global, economic, environmental and social aspects with broad knowledge.11. Has

27、 a high humanistic qualityMIll、Basic Course ContentIntroduction (supporting course objectives *1 *)Origin, development and definition of operations researchThe relationship between operations research and management decisionIntroduce the branches and applications of operations researchTeaching Requi

28、rements: Through the definition, origin, generation and development of operations research, let students understand the process of the generation and development of operations research as a discipline, andthrough a few typical cases to understand the simple ideas of operations research in ancient Ch

29、ina. Understand the relationship between operations research and management decision-making, and the status and role of operations research in management. Through several examples that are closely related to learning life, understand how operations research is a discipline, and it can play an import

30、ant role in some basic applications in production and life.Key Points： The birth and development of operations researchDifficult Points； The use of operations researchGraphic Method of Linear Programming (supporting course objectives *2,3*)Linear programming, general and standard forms of linear pro

31、grammingGraphic method of linear programming with two variablesSensitivity analysis of Ci and Bj respectivelyTeaching Requirements: Through the study of the graphical method of linear programming, students are required to master the methods and steps of the graphical method and the scope of applicat

32、ion of the graphical method, and understand the characteristics of the four situations and various situations of the solution. Master the conversion method of general and standard linear programming. Master the sensitivity analysis of the coefficients of decision variables in the objective function

33、and the constraints constants. Understand the purpose and significance of sensitivity analysis. It has the ability to solve and analyze any linear programming.Key Points： Graphical method and sensitivity analysisDifficult Points： sensitivity analysisApplication of Linear Programming in Business Admi

34、nistration (supporting course objectives *2,3*)The application of linear programming in business management, how to use linear programming to solve practical problems.Human resource allocationProduction planning issuesSet cutting problemIngredient problemInvestment issuesTeaching Requirements: The a

35、pplication of linear programming in business management, through the five themes of human resource allocation, production planning, cutting and cutting, batching, and investment, students are required to master the modeling methods of different types of business management Features, familiar with th

36、e method of setting variables for different problems and the rules of establishing models, and can skillfully solveeach model through management operations research software to analyze the solution. Have a certain ability to use operational research models to solve practical production problems.Key

37、Points： Master the characteristics of each model, modeling and solving.Difficult Points： The application of double subscript, the idea of modeling.Simplex method(supporting course objectives *2*)The basic ideas, basic principles and related concepts of the simplex methodTabular form of the simplex m

38、ethodBig M methodSeveral special cases in simplex table solution.Teaching Requirements: Through the study of the simplex method, students are required to master the general idea of simplex method and the specific operation methods of initial basic feasible solutions, test numbers, and base transform

39、ation. Familiar with the corresponding theoretical basis of each link of the simplex method. Have the ability to solve linear programming of more than two decision variables in the form of simplex method. Proficiency in the introduction of artificial variables to solve linear programming with the bi

40、g M method. Master several special case methods in analyzing simplex table solutions.Key Points： Simplex method for linear programming, M methodDifflcult Points： Tabular form of the simplex methodTransportation problem (supporting course objectives *2.3*)Transportation modelEstablish a freight table

41、 with balanced production and sales for various types of transportation problemsApplication of transportation issuesOn-the-table operation method for transportation problemsTeaching Requirements: Through the study of the transportation problem, students are required to understand several types of tr

42、ansportation models. Master how to build a freight table with balanced production and sales for different types of transportation problems. Proficiency in the idea of using simplex method to solve transportation problems through on-table operation method, and understand the theoretical basis of each

43、 step of on-table operation method Possess the ability to judge transportation problems and solve transportation problems with on-table operations. At the same time, it has the ability to solve other similar linear programming problems with the idea of transportation problems, such as production and

44、 storage problems.Key Points： Production and sales balance of freight rate table, on-table operation method, application of transportation problemsDifficult Points： On-table work methodInteger programming (supporting course objectives *2.3*)Graphical method of integer programmingApplication of integ

45、er programmingBranch and bound method for integer programmingSolution of 0-1 planningTeaching Requirements:Through the study of this chapter of integer programming, students are required to understand several types of features of integer programming, master the graphical method of integer programmin

46、g, and master the computer solution of integer programming. Familiar with several major applications of integer programming, and master the modeling methods of site selection problems, fixed cost problems, assignment problems, system planning and investment problems. Have the ability to solve practi

47、cal problems through integer programming models. In particular, you should be familiar with the characteristics of 0-1 variables and flexibly apply 0-1 variables to build models.Key Points： Application of integer programmingDifficult Points： Application of 0-1 variablesDynamic programming (supportin

48、g course objectives *2.3*)Basic concepts, basic equations and basic principles of dynamic programmingApplication of dynamic programming in resource allocation issues, backpack issues, and production and storage issuesTeaching Requirements: Through the study of this chapter of dynamic programming, st

49、udents are required to master the use of dynamic programming to solve multi-stage decision-making problems. Understand the characteristics of multi-stage decision-making problems, and master the basic concepts and theories related to dynamic programming. Familiar with the characteristics of shortest

50、 path problems, resource allocation problems, backpack problems and production and storage problems, the definition of stages and the form of dynamic planning, understand the meaning of each part of the dynamic planning table for different problems, and have the ability to use dynamic planning to so

51、lve actual production problems ability.Key Points： Dynamic programmingDifficult Points： State transfer equations, production and storage issuesGraph and network model (supporting course objectives *2.3*)Basic concepts of graphs and networksThe shortest path problem and its applicationThe Minimum Spa

52、nning Tree Problem and Its ApplicationMaximum flow problem and its applicationThe problem of minimum cost and maximum flow and its applicationTeaching Requirements: Through the study of the chapter of graphs and network models, students are required to understand the basic concepts related to graphs

53、 and network models, master the method of solving the shortest path problem with the double label method and the application of the shortest path problem in equipment update problems, and master the minimum spanning tree The characteristics of the problem and the wide application of minimum spanning

54、 tree in production practice, master the maximum flow problem and its solution ideas and solution methods, and understand the solution method of minimum cost and maximum flow. It has the ability to flexibly use graphs and network models to solve practical problems.Key Points： Shortest path problem,

55、minimum spanning tree, maximum flowDifficult Points： Minimum cost maximum flowChapter 13 Storage theory (supporting course objectives *2.3*)Do not allow out-of-stock economic order bulk storage modelNot allowed out of stock economic production batch modelAllowing economically ordered batch models ou

56、t of stockAllowed out-of-stock economic production batch modelEconomic Ordering Volume Discount ModelTeaching Requirements:Through the study of this chapter of storage theory, understand the important role of storage theory in modern production management. Master the modeling conditions and operatin

57、g mechanism of different models, master the modeling methods of economic order batch model and economic production batch model, and solve the economic batch, reorder point, production order cycle and maximum storage level. Understand the difference between allowed out of stock and out of stock. Mast

58、er the characteristics of the economic order volume discount model. The ability to solve actual production problems with different storage models.Key Points： Economic order batch model, economic production batch modelDifficult Points： Economical production batch model allowing out of stockChapter 16

59、 Strategic analysis (supporting course objectives *2.3*)Five decision criteria under uncertaintyDecision criteria, decision tree method, sensitivity analysis in risk-based situationsTeaching Requirements: Through the study of decision analysis, understand the connection and difference between determ

60、inistic decision, uncertain decision and risky decision. Master the five judgment criteria for uncertain decision-making, master the two judgment criteria for risk-based decision-making, and be familiar with the decision tree form of risk-based decision-making. Proficiency in the sensitivity analysi