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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-mock-test-ii-p/
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课程名称:运筹学模拟测试-II 课程概述: 本模拟测试是运筹学测试系列的一部分,适合各级学习者。它帮助您理解自己的基础知识水平以及如何将其应用于现实问题。适用于GATE和IES等考试的准备,也对参加口试和工作面试非常有用。测试内容涵盖运筹学多个主题。 首先是线性规划问题(LPP),包括LPP的要求、数学公式化、图形法、单纯形法、惩罚成本法或大M法、两阶段法、修订单纯形法、对偶性、原—对偶构造、对称与非对称对偶、弱对偶定理、互补松弛定理、主要对偶定理、对偶单纯形法、敏感性分析等。 其次是运输问题,涉及运输问题的公式化和解决方案,解决不平衡运输问题,包括基本可行解的寻找(西北角规则、最优成本法、Vogel近似法)和最优性测试(踏脚石法与MODI法)。 接下来是任务分配问题,内容包括任务分配问题的引入、数学公式化、匈牙利算法、n个作业通过两台机器和m台机器的处理、两作业m台机器问题的图形法、路由问题及旅行推销员问题。 第三个主题是排队模型,包括排队系统和结构、单服务器和多服务器模型、泊松输入、指数服务、常量速率服务、有限与无限人口。 第四个主题是模拟,内容包括模拟的方法论、基本概念、模拟程序、蒙特卡洛方法的介绍、蒙特卡洛模拟的应用、模拟的优势与局限性。 第五个主题是动态规划,涵盖动态规划的特点及其在优先管理、就业平稳化、资本预算、最短路径、货物装载和可靠性问题中的应用。 最后一个主题是库存模型,介绍经典的经济订货量(EOQ)模型、含价格折扣的EOQ模型、缺货情况下的EOQ模型、概率EOQ模型。 此课程对于希望深入了解运筹学并运用其理论与实践的学习者具有重要意义。
This mock test is a part of test series of Operations Research. This test series is for all level of learners. It will help you understand your level of understanding of basic knowledge and how to apply it for real life problems. Use it for various types of exams like GATE and IES preparations. Also this test series will be useful in attending viva voce and appearing for job interviews.It includes various topics of Operations Research subject. First being Linear Programming Problem (LPP) which includes Requirements of LPP, Mathematical Formulation of LPP, Graphical method, Simplex Method Penalty Cost Method or Big M-method, Two Phase Method, Revised simplex method, Duality, Primal - Dual construction, Symmetric and Asymmetric Dual, Weak Duality Theorem, Complimentary Slackness Theorem, Main Duality Theorem, Dual Simplex Method, Sensitivity Analysis.Transportation Problem: Formulation, solution, unbalanced Transportation problem. Finding basic feasible solutions - Northwest corner rule, least cost method and Vogel's approximation method. Optimality test: the stepping stone method and MODI method. Assignment Problem: Introduction, Mathematical Formulation of the Problem, Hungarian Method Algorithm, Processing of n Jobs Through Two Machines and m Machines, Graphical Method of Two Jobs m Machines Problem Routing Problem, Travelling Salesman Problem.Second topic being queuing model which includes queuing systems and structures, single server and multi-server models, Poisson input, exponential service, constant rate service, finite and infinite population.Third one is Simulation which includes Methodology of Simulation, Basic Concepts, Simulation Procedure, Application of Simulation Monte-Carlo Method: Introduction, Monte-Carlo Simulation, Applications of Simulation, Advantages of Simulation, Limitations of Simulation.Fourth topic is dynamic programming which includes Characteristics of dynamic programming. Dynamic programming approach for Priority Management employment smoothening, capital budgeting, Stage Coach/Shortest Path, cargo loading and Reliability problems.Fifth topic is game theory which includes Competitive games, rectangular game, saddle point, minimax (maximin) method of optimal strategies, value of the game. Solution of games with saddle points, dominance principle. Rectangular games without saddle point - mixed strategy for 2 X 2 games.Last one being inventory models which includes Classical EOQ Models, EOQ Model with Price Breaks, EOQ with Shortage, Probabilistic EOQ Model.