A polyhedral approach to the single row facility layout problem

Amaral, André R. S. and Letchford, Adam (2013) A polyhedral approach to the single row facility layout problem. Mathematical Programming, 141 (1-2). pp. 453-477. ISSN 0025-5610

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Abstract

The Single Row Facility Layout Problem (SRFLP) is the NP-hard problem of arranging facilities on a line, while minimizing a weighted sum of the distances between facility pairs. In this paper, a detailed polyhedral study of the SRFLP is performed, and several huge classes of valid and facet-inducing inequalities are derived. Some separation heuristics are presented, along with a primal heuristic based on multidimensional scaling. Finally, a branch-and-cut algorithm is described and some encouraging computational results are given.

Item Type:

Journal Article

Journal or Publication Title:

Mathematical Programming

Uncontrolled Keywords:

/dk/atira/pure/core/keywords/managementscience

Subjects:

?? facility layoutpolyhedral combinatoricsbranch-and-cutmanagement sciencesoftwaregeneral mathematicsmathematics(all)hb economic theory ??

Departments:

Lancaster University Management School > Management Science

ID Code:

52995

Deposited By:

ep_importer_pure

Deposited On:

15 Mar 2012 10:17

Refereed?:

Yes

Published?:

Published

Last Modified:

16 Jul 2024 09:01

URI:

https://eprints.lancs.ac.uk/id/eprint/52995