A polynomial time approximation scheme for the two-stage multiprocessor flow shop problem
โ Scribed by Petra Schuurman; Gerhard J. Woeginger
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0304-3975
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โฆ Synopsis
In this paper we investigate the two-stage multiprocessor ow shop scheduling problem F2(P)| โข |Cmax, where the numbers m1 and m2 of machines available in the two stages are part of the input. We demonstrate the existence of a polynomial time approximation scheme for this problem.
This result solves the simplest case of an open problem that has been posed by Leslie Hall in a recent paper . An extension of our algorithm yields an approximation scheme for the closely related two-stage multiprocessor job shop problem.
๐ SIMILAR VOLUMES
In this paper, a parallel branch-and-bound approach for ยฎnding approximate solutions to a general version of the multiprocessor scheduling problem is presented and analyzed. In this approach, a list heuristic and a genetic algorithm are used to ยฎnd solutions to the subproblems enumerated during the
We consider a polynomial-time algorithm for the following scheduling problem: Given two machines, where each machine can process at most one job at a time; a set of jobs, where each job can start on or after its release date and consists of a chain of unit-time operations such that the machines have