Valid inequalities for the single arc design problem with set-ups

0Citations
Citations of this article
10Readers
Mendeley users who have this article in their library.

Abstract

We consider a mixed integer set which generalizes two well-known sets: the single node fixed-charge network set and the single arc design set. Such set arises as a relaxation of feasible sets of general mixed integer problems such as lot-sizing and network design problems. We derive several families of valid inequalities that, in particular, generalize the arc residual capacity inequalities and the flow cover inequalities. For the constant capacitated case we provide an extended compact formulation and give a partial description of the convex hull in the original space which is exact under a certain condition. By lifting some basic inequalities we provide some insight on the difficulty of obtaining such a full polyhedral description for the constant capacitated case. Preliminary computational results are presented.

Cite

CITATION STYLE

APA

Agra, A., Doostmohammadi, M., & Louveaux, Q. (2015). Valid inequalities for the single arc design problem with set-ups. Discrete Optimization, 16, 17–35. https://doi.org/10.1016/j.disopt.2014.12.002

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free