Merging valid inequalities over the multiple knapsack polyhedron
by Randal Hickman; Todd Easton
International Journal of Operational Research (IJOR), Vol. 24, No. 2, 2015

Abstract: This paper provides the theoretical foundations for generating a new class of valid inequalities for integer programming problems through inequality merging. The inequality merging technique combines two low dimensional inequalities of a multiple knapsack problem, potentially yielding a valid inequality of higher dimension. The paper describes theoretical conditions for validity of the merged inequality and shows that the validity of a merged cover inequality may be verified in quadratic time. Conditions under which a valid merged inequality is facet defining are also presented. The technique is demonstrated through a multiple knapsack example. The example also demonstrates that inequality merging yields a new class of valid inequalities that are fundamentally different from other known techniques.

Online publication date: Mon, 31-Aug-2015

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Operational Research (IJOR):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com