2009Engineering OptimizationRequires access

Linear Programming I: Simplex Method

Singiresu S. Rao

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Abstract

This chapter contains sections titled: Introduction Applications of Linear Programming Standard Form of a Linear Programming Problem Geometry of Linear Programming Problems Definitions and Theorems Solution of a System of Linear Simultaneous Equations Pivotal Reduction of a General System of Equations Motivation of the Simplex Method Simplex Algorithm Two Phases of the Simplex Method MATLAB Solution of LP Problems References and Bibliography Review Questions Problems

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What this paper is about

This chapter contains sections titled: Introduction Applications of Linear Programming Standard Form of a Linear Programming Problem Geometry of Linear Programming Problems Definitions and Theorems Solution of a System of Linear Simultaneous Equations Pivotal Reduction of a General System of Equations Motivation of the Simplex Method Simplex Algorithm Two Phases of the Simplex Method MATLAB Solution of LP Problems References and Bibliography Review Questions Problems

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This chapter contains sections titled: Introduction Applications of Linear Programming Standard Form of a Linear Programming Problem Geometry of Linear Programming Problems Definitions and Theorems Solution of a System of Linear Simultaneous Equations Pivotal Reduction of a General System of Equations Motivation of the Simplex Method Simplex Algorithm Two Phases of the Simplex Method MATLAB Solution of LP Problems References and Bibliography Review Questions Problems

Key concepts: Simplex algorithm, Linear programming, Revised simplex method, Linear-fractional programming, Simplex, Criss-cross algorithm, System of linear equations, MATLAB

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