Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-x24gv Total loading time: 0 Render date: 2024-06-02T13:14:53.964Z Has data issue: false hasContentIssue false

4 - Sensitivity Analysis and Duality

Published online by Cambridge University Press:  11 March 2021

David C. Vella
Affiliation:
Skidmore College, New York
Get access

Summary

In this chapter, we introduce sensitivity analysis in linear programming. That is, we study the effect on the optimal solution that small changes in the statement in the problem entail. We consider changes in the objective function coefficients and changes in the constraint inequalities (which are often determined by supplies of raw materials in real life problems). The latter changes are closely tied with the notion of marginal values (shadow prices), which we also introduce and compute. We define and compute stable ranges of the values of a parameter where certain features of the solution remain unchanged. Finally, we study duality, which fits here as a topic because the decision variables in the dual problem are the marginal values of the original problem.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

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 Dropbox.

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.

Available formats
×