Moukrim, Aziz; Rebaine, Djamal; Serairi, Mehdi
A branch and bound algorithm for the two-machine flowshop problem with unit-time operations and time delays
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 2 , p. 235-254
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Zbl 1292.90321 | MR 3264377
doi : 10.1051/ro/2014004
URL stable : http://www.numdam.org/item?id=RO_2014__48_2_235_0

Classification:  9008
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 \hbox{𝒩P} 𝒩𝒫 -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.

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