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所在平台: Udemy |
课程主页: https://www.udemy.com/course/operations-research-linear-programming-problem/
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**课程名称：** 掌握线性规划的图解法与单纯形法 **课程概述：** 本课程由拥有45年以上行业领导经验和教学经验的运营顾问兼培训师Madhusudan Sohani主讲，旨在帮助您深入理解并掌握线性规划（LPP）的求解方法。课程将从基础的图解法入手，详细介绍LPP的概念、建立模型的方法以及如何通过图解法找到最优解。 **课程内容亮点：** * **图解法入门：** * 第一讲：详细阐述LPP的概念、应用场景，以及如何将约束条件转化为直线并在坐标系中绘制，从而确定可行域。包含两个例题。 * 第二讲：通过四个例题，进一步巩固图解法的应用，并涵盖了使用图解法解决三变量问题的情况。 * **单纯形法进阶：** * 第三讲：引入单纯形算法，从一个简化的二变量、二约束问题开始，深入讲解算法的每一步。随后，将讲解一个三变量、三约束问题的求解。 * 第四讲：重点分析三变量、三约束问题中的“多重最优解”情况，并教授如何识别，同时包含对该类问题的复习。本讲还将详细讲解“退化”现象，并通过重复求解同一问题来加深理解。最后，会深入讲解“对偶性”概念。 * 第五讲：深入探讨“敏感性分析”，这是理解单纯形法及其在商业决策（“What If”场景）中应用的关键。 * 第六讲：通过一个简单的敏感性分析问题以及一个图解法复习题，进一步强化学习效果。 **教学特色：** Madhusudan Sohani老师将通过日常生活中的例子，尽量减少复杂的数学计算，让学习过程更轻松有趣，即使是复杂的单纯形法和图解法问题，也能让你感觉像是在玩游戏。 **立即报名，开启您的线性规划学习之旅！**
Have you ever wondered, how businesses make critical decisions when it comes to maximizing their profits or minimizing their costs? They do so through various means and one such means is through Operations Research. Hi, this is Madhusudan Sohani, Operations Consultant and Trainer and I welcome you all to this comprehensive course on Linear Programming. I have 45+ years of experience working as an industry leader and teaching operations research through various executive courses and programs to students all around the globe.The course is designed to provide you with an opportunity to understand and solve linear programming problems. The course starts with the graphical method of solving the Linear Programming Problem (LPP), with a detailed explanation as to what is an LPP, and how to formulate it and solve it using a simple graph.In the very First Lecture, I delved into the concept of LPP along with how and where it is to be applied. This lecture deals with plotting the constraints as straight lines in their limiting case and from thereupon finding the solution space. The first lecture has two problems solved in it whereas the Second Lecture solves four such problems. All types of problems have been covered, including the special case of three variable problem solved using the graphical method!The next lecture, Lecture Number 3 is an important lecture in the sense that it introduces the student to the process of the simplex algorithm. Initially, a very simple problem involving two variables and two constraints has been solved using the simplex process. In the course of solving the problem, the method has been explained at length. The next simplex problem covered in the same lecture has three variables and three constraints.The subsequent Lecture Number 4 deals with 3 variables, 3 constraints with multiple solutions. It will also train the student on how to detect multiple solutions. In this elaborate lecture, the second problem solved is by way of revision, and so are the next two, which are 3 variables, and 3 constraints problems. Later on, in the same lecture, degeneracy has been covered at length, by solving a problem twice for better understanding. Towards the end of the lecture, the concept of duality has been explained in detail.In the 5th Lecture, an important topic of sensitivity analysis is taken in for discussion. It's very important to discuss this topic to understand the simplex process completely and the "What If" situations in businesses where LPP is applied.In Lecture Number 6, another simple problem on sensitivity analysis has been covered, apart from covering a problem on graphical method, just by way of revision.Hey, I understand Linear Programming is a bit intimidating, but don't worry, I have explained it with minimal arithmetic calculations using day-to-day examples so that even complex problems on simplex and graphical methods will seem like fun.Don't wait any further, enroll now, see you in the course.
