Lower bounds for the head-body-tail problem on parallel machines : a computational study of the multiprocessor flow shop

A. Vandevelde, J.A. Hoogeveen, C.A.J. Hurkens, J.K. Lenstra

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11 Citations (Scopus)
3 Downloads (Pure)

Abstract

The multiprocessor flow-shop is the generalization of the flow-shop in which each machine is replaced by a set of identical machines. As finding a minimum-length schedule is NP-hard, we set out to find good lower and upper bounds. The lower bounds are based on relaxation of the capacities of all machine sets except one. This results in a parallel-machine scheduling problem with release dates and delivery times, for which we derive a number of lower bounds. We pay special attention to the time complexity of algorithms for computing these bounds. To obtain the upper bounds a constructive algorithm in subsequent stages is used. We present an experimental comparison of the various lower and upper bounds for the multiprocessor flow-shop problem.
Original languageEnglish
Pages (from-to)305-320
JournalINFORMS Journal on Computing
Volume17
Issue number3
DOIs
Publication statusPublished - 2005

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