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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-part-iii/
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**课程名称:** 运筹学第三部分 **课程概述:** 本课程是运筹学系列讲座的第三部分,涵盖动态规划、博弈论、库存模型和排序模型等主题。课程通过解决各种数值问题来阐述概念及其应用。学习本课程需要具备基础数学知识和管理学基础知识。 **课程内容:** * **动态规划:** 介绍动态规划概念,并深入探讨就业平滑问题、资本预算问题、最短路径问题和货物装载问题等相关概念和数值解法。 * **博弈论:** 探讨博弈论的概念,包括对策论、博弈特征、博弈模型、运筹学中的纯策略和混合策略、博弈论术语、博弈论规则、最小极大-最大极小原则、Odd's原则、支配原则、对等博弈法、鹰鸽博弈模型以及博弈论的局限性。课程中还将通过数值示例讲解部分主题。 * **库存模型:** 讲解库存维系的必要性、库存成本、库存管理、库存控制问题、库存ABC分析、准时制(JIT)库存、固定订货量库存模型分类、古典经济订货量(EOQ)模型及其局限性。课程将通过数值计算解决古典EOQ模型问题。 * **排序模型:** 理论讲解并结合数值示例,解决n个作业在2台机器上的排序、n个作业在3台机器上的排序以及2个作业在m台机器上的排序问题。 **学习目标:** 通过本课程的学习,学员将能够理解和应用动态规划、博弈论、库存模型和排序模型等运筹学核心概念,并能运用相关的数学工具解决实际问题。
This course is the third part of the lecture series of Operations Research course. It takes you through various topics like Dynamic Programming, Game theory, Inventory Model and Sequencing Model. Various numerical are solved to explain the concepts and their applications. Basic Mathematics and Basic Knowledge of Management subjects are the requirement for understanding of this subject.We start with Dynamic Programming and then discuss about the concept and numericals on Employment Smoothening Problem, Capital Budgeting Problem, Shortest Path Problem and Cargo Loading Problem.Further, we move to the concept of Game theory and then discuss about Theory of Games, Characteristics of Games, Game Models, Pure and Mixed Strategy in OR, Terminologies used in Game Theory, Rules for Game Theory, Minimax Maximin Principle, Odd's Principle, Dominance Principle, Equal Game Method, Hawk vs Dove Game Model and Limitation of Game Theory. Further there are numericals discussed on few of the topics.Third section deals with Inventory Model. Here concepts like Necessity for Maintaining Inventory, Inventory Costs, Inventory Management, Inventory Control Problem, ABC Analysis of Inventory, Just-In-Time (JIT) Inventory, Classification of Fixed Order Quantity Inventory Models, Classical EOQ Model and Limitation of Classical EOQ Model are discussed. Numericals are solved for the Classical EOQ Model.Lastly Sequencing Model is discussed in theory and numericals form. Numericals on n jobs on 2 machines, n jobs on 3 machines and 2 jobs on m machines are solved.Happy Learning!