The mixing set with flows
(2005)
Files
dp2005_92.pdf
Open Access - Adobe PDF
- 175.94 KB
Details
- Authors
- Abstract
- We consider here the mixing set with flows: s + xt >= bt, xt <= yt for 1 <= t <= n; s [belongs] R+exp.1+, x [belongs] R+exp.n, y [belongs] Z+exp.n. It models the "flow version" of the basic mixing set introduced and studied by Gunluk and Pochet, as well as the most simple stochastic lot-sizing problem with recourse, and more generally is a relaxation of certain mixed integer sets that arise in the study of production planning problems. We study the polyhedron obtained by convexifying the above set. Specifically we provide a system of inequalities that gives its external description and characterize its vertices and rays.
- Affiliations
Citations
Conforti, M., Wolsey, L., & Di Summa, M. (2005). The mixing set with flows (CORE Discussion Papers 2005/92). https://hdl.handle.net/2078.5/35594