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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-part-i/
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**课程名称：运筹学（第一部分）** **课程概述：** 本课程是运筹学系列讲座的第一部分，涵盖了以下核心内容： * **运筹学导论：** 介绍运筹学的概念，探讨其范围、优缺点、数学模型类型以及模型的分类方案。 * **线性规划问题（LPP）导论：** 讲解线性规划的要求、优缺点、数学模型建立、基本假设、应用领域及具体案例。 * **LPP图解法求解：** 通过数值案例详细演示如何使用图解法解决线性规划问题。 * **LPP单纯形法求解：** 深入讲解单纯形法的理论基础，并辅以大量数值示例进行说明。 * **LPP两阶段法求解：** 阐述两阶段法的原理，并通过具体计算过程展示其应用。 * **LPP大M法求解：** 讲解大M法的理论和计算方法，并通过实际问题进行演算。 课程中将通过大量的数值计算来帮助理解概念及其应用。 **先修要求：** 具备基础数学知识和基础管理学知识。
This course is the first part of the lecture series of Operations Research course. It takes you through various topics like Introduction to Operations Research, Introduction to Linear Programming Problem(LPP), Formulation of LPP, LPP Solution using Graphical Method, LPP Solution using Simplex Method, LPP Solution using Two Phase Method and LPP Solution using BIG M Method. 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 Introduction to Operations Research and then discusses about the Scope of Operations Research (OR), Advantages and Limitations of OR, Types of Mathematial Models in OR and Classification Schemes of Models in OR.Further, we move to the concept of Introduction to Linear Programming (LP) and then discusses about Requirements of LPP, Advantages & Limitations, Mathematical Formulation of LPP, Assumptions in Linear Programming Models in OR, Applications of Linear Programming Method in OR and Areas of Application of Linear Programming in OR. Further there are numericals discussed on Formulation of LPP.Third section deals with LPP Solution using GRAPHICAL Method. Numericals are solved for the same. Fourth section discusses about the theory and numericals on LPP Solution using SIMPLEX Method. LPP Solution using Two Phase Method is explained in the fifth section along with numericals.Lastly LPP Solution using Big M Method is discussed in theory and numericals form.Happy Learning!
