Title
Minimizing setup costs for parallel multi-purpose machines under load-balancing constraint
Abstract
This article focuses on the minimization of the setup costs of a workshop modeled with parallel multi-purpose machines. Any admissible workshop configuration has to ensure that a load-balanced production plan meeting a given demand exists. This problem is shown to be NP-hard in the strong sense, and is stated as a mixed integer linear program. It is shown that under some hypotheses, it can be stated as a transportation problem and solved in polynomial time. An upper bound and lower bound are proposed, as well as a performance ratio assessment that is reached only when degenerate optimal solutions to the transportation problem exist.
Year
DOI
Venue
2008
10.1016/j.ejor.2006.05.050
European Journal of Operational Research
Keywords
Field
DocType
Setup costs,Assignment constraints,Machines configuration,Parallel multi-purpose machines
Mathematical optimization,Load balancing (computing),Upper and lower bounds,Transportation theory,Minification,Integer programming,Minimisation (psychology),Linear programming,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
187
3
0377-2217
Citations 
PageRank 
References 
7
1.03
2
Authors
4
Name
Order
Citations
PageRank
Alexis Aubry112812.82
André Rossi213713.13
Marie Laure Espinouse3194.70
Mireille Jacomino47711.17