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9 - More Linear Programming

Published online by Cambridge University Press:  11 March 2021

David C. Vella
Affiliation:
Skidmore College, New York
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Summary

In this chapter, we return to linear programming. We begin by covering Phase I pivoting, so that now readers can solve any linear programming problem, whether it is a standard form problem or not. Then we return to sensitivity analysis, but now with the benefit of the simplex algortihm, we show how it becomes much easier to calculate revised optimal solutions and stable ranges of parameters by using some simple matrix algebra.Finally, we consider integer programming, where we require that the solution values of some or all of the decision variables to be integers. While there are several possible approaches, we stick to the branch and bound method in this text. We also observe that integer constraints can be easily handled when solving integer programming problems using Microsoft Excel.

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Publisher: Cambridge University Press
Print publication year: 2021

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  • More Linear Programming
  • David C. Vella, Skidmore College, New York
  • Book: Invitation to Linear Programming and Game Theory
  • Online publication: 11 March 2021
  • Chapter DOI: https://doi.org/10.1017/9781108568166.011
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  • More Linear Programming
  • David C. Vella, Skidmore College, New York
  • Book: Invitation to Linear Programming and Game Theory
  • Online publication: 11 March 2021
  • Chapter DOI: https://doi.org/10.1017/9781108568166.011
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • More Linear Programming
  • David C. Vella, Skidmore College, New York
  • Book: Invitation to Linear Programming and Game Theory
  • Online publication: 11 March 2021
  • Chapter DOI: https://doi.org/10.1017/9781108568166.011
Available formats
×