| Issue |
RAIRO-Oper. Res.
Volume 48, Number 2, April-June 2014
Isco 2012, guest editors Nelson Maculan, A. Ridha Mahjoub, Eduardo Uchoa
|
|
|---|---|---|
| Page(s) | 235 - 254 | |
| DOI | https://doi.org/10.1051/ro/2014004 | |
| Published online | 07 March 2014 | |
A branch and bound algorithm for the two-machine flowshop problem with unit-time operations and time delays
1 Universitéde Technologie de Compiègne, Heudiasyc, CNRS UMR 7253 Rue Roger Couttolenc CS 60319 60203 Compiègne Cedex, France.
aziz.moukrim@hds.utc.fr; mehdi.serairi@hds.utc.fr
2 Département d’Informatique et Mathématique, Université du
Québec à Chicoutimi, Saguenay, Canada G7H 2B1.
DjamalRebaine@uqac.ca
Received:
11
September
2013
Accepted:
28
November
2013
In this paper we consider the problem of scheduling, on a two-machine flowshop, a set of
unit-time operations subject to time delays with respect to the makespan. This problem is
known to be 
-hard in the strong sense. We propose an algorithm based
on a branch and bound enumeration scheme. This algorithm includes the implementation of
new lower and upper bound procedures, and dominance rules. A computer simulation to
measure the performance of the algorithm is provided for a wide range of test
problems.
Mathematics Subject Classification: 9008
Key words: Branch and bound / dominance rule / flowshop / lower and upper bounds / time delays
© EDP Sciences, ROADEF, SMAI, 2014
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