Models and Techniques
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Linear Programming is the most developed technique of Management Science and Operations Research, and we present a selection of interesting links on it.


Introduction

Frequently Asked Questions on Linear Programming

This is an excellent presentation of Linear Programming, in the form of structured questions and answers, prepared and maintained by Prof. R. Fourer of Northwestern University, in collaboration with Argonne National Laboratories.

Linear Programming review

It is a brief review on Linear Programming that mainly includes the history and the mathematical basis for this method.


Courses

Lecture notes from Princeton University on Linear Programming

Lecture notes based on the book "Foundations and Extensions" for Graduate Level students. The book is available on-line. (Refer to the "Mathematical Formulation" section)

The Simplex Method

Course notes on the simplex method by Michael Trick from the Carnegie Mellon Universtity.

Linear Optimization course: link 1 & link 2

This site consists of seven assignments, its solutions, twenty lectures and general material from the University of Waterloo.


Mathematical Formulation of LP Problems

Linear Programming: Foundations and Extensions

A book about covers a wide range of subjects concerning optimization and is a valuable source for those who want to learn more about the mathematical formulation of this type of problems. It is written by Robert J. Vanderbei from the Department of Operations Research and Financial Engineering of Princeton University and is used a course book from many Universities.

The Simplex method

The simplex method was the first method developed to solve linear programs. In these pages, this site attempts to teach how the simplex method works. Users can select the size of the problem that they want to solve, enter the data, and watch the simplex method go through each step, of every iteration, of the method. This is a brief review on Simplex Method that mainly includes the history and the mathematical basis for this method.


Tutorials on the Simplex Method

Stefan Waner and Steven R. Costenoble from the Department of Mathematics in Hofstra University, provide us with easy tutorials and an quick quiz in linear programming.

Introduction to Linear Programming and Simplex method (1)

Introduction to Linear Programming and Simplex method (2)

Quiz in Linear Programming

A tutorial on Linear Programming, with emphasis on the mathematical formulation, by Michael Trick from the Graduate School of Industrial Administration of the Carnegie Mellon University.


Student Problems in English

Formulation of LP problems

Solution of LP problems

Sensitivity Analysis and Duality

Sensitivity Analysis and Duality using Solver\


Student Problems in Greek

Διατύπωση προβλημάτων Γραμμικού Προγραμματισμού

Επίλυση προβλημάτων Γραμμικού Προγραμματισμού

Ανάλυση Ευαισθησίας και Δυϊκότητα με τη χρήση Solver


Applications

The Diet Problem: A Linear Programming Problem


Software

Software Review by OR/MS Today

This is an overview article, published in OR/MS Today, presenting the various software for Linear Programming

LP Software Review by Argonne National Laboratories

This is an overview article, published in Argonne National Laboratories, presenting various software for Linear Programming.

Links to Software Vendors


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