'Basic variable' diaporamas de présentation

Simplex algorithm for problems with bounded variables

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The Simplex algorithm

The Simplex algorithm.

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The Simplex algorithm

The Simplex algorithm.

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The Transportation and Assignment Problems

Chapter 9. The Transportation and Assignment Problems. Introduction. Transportation problem Many applications involve deciding how to optimally transport goods (or schedule production) Assignment problem Deals with assigning people to tasks Transportation and assignment problems

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Easy Optimization Problems, Relaxation, Local Processing for a small subset of variables

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Duality Theory

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AM 121: Intro to Optimization Models and Methods

AM 121: Intro to Optimization Models and Methods. Lecture 2: Intro to LP, Linear algebra review. Ozlem Ergun SEAS/Georgia Tech. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A. Lecture 2: Lesson Plan. What is an LP?

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Simplex Method

Simplex Method. Maximization by Dr. Arshad zaheer. Steps of Simplex Method. Express the problem in equation form Write the inequalities in form of equalities Determine an initial feasible solution Write initial tableau / iteration Determine the criteria for optimality

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Operation Research

Operation Research. Chapter 3. Simplex Method. Chapter 2 Outline: Part II. Introduction The Linear Programming in Standard Form Simplex Method.

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Linear Programming (LP)

Linear Programming (LP). LP is simpler than NLP, hence, good for a foundation Linearity has some unique features for optimization A lot of problems are or can be converted to a LP formulation Some NLP algorithms are based upon LP simplex method. Why Talk About Linear Programming?. Given

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Linear Programming

Linear Programming. Simplex method - II. Objectives. Objectives To discuss the Big-M method Discussion on different types of LPP solutions in the context of Simplex method Discussion on maximization verses minimization problems. Big-M Method.

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Optimization Mechanics of the Simplex Method

Optimization Mechanics of the Simplex Method. Simplex Method. Find initial corner point (basic) feasible solution. Usually, the origin is a basic feasible solution. Iterate until the stopping conditions are met.

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THE FUNDAMENTAL INSIGHT

THE FUNDAMENTAL INSIGHT. The key factor is that the subsequent iterations change the initial equations only by. 1. Multiplying (or dividing ) an entire equation by a nonzero constant. 2. Adding (or substracting ) a multiple of one entire equation to another entire equation.

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Simplex Method Meeting 5

Simplex Method Meeting 5. Course : D0744 - Deterministic Optimization Year : 2009. What to learn?. Artificial variables Big-M method. The Facts. To start, we need a canonical form

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5.3 Optimality Test

5.3 Optimality Test. We continue with the process until there are no non-basic variables with negative reduced costs, namely until the Greedy Rule fails. Hence:

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5.4 Statement of Algorithm

5.4 Statement of Algorithm. We shall discuss the details of the Simplex Algorithm from two related points of view, namely Process Reasoning Consult Table 5.2 for the details. 1. Process: Add Slack Variables Reasoning: ??????? 2. Process: Optimality Test

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Chap 10. Sensitivity Analysis

Chap 10. Sensitivity Analysis. We do not follow the text here. We study the dual simplex method in a little bit different way from the text. Dual simplex method Note that, when we solve the LP by the simplex method, the current tableau (dictionary) can be identified if we know the basis.

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The application of mathematics and the scientific

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The application of mathematics and the scientific

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What is sensitivity analysis? Why do we perform sensitivity analysis?

What is sensitivity analysis? Why do we perform sensitivity analysis? How far do we like to perform sensitivity analysis? In an LP sensitivity analysis, what type of conditions or information are considered? In an LP sensitivity analysis, what type of conclusions are considered?.

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