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Genetic algorithm for the permutation flow-shopscheduling problem with linear models of operations

Adam Janiak and Marie-Claude Portmann

Annals of Operations Research, 1998, vol. 83, issue 0, 95-114

Abstract: The paper deals with a permutation flow-shop problem where processing times of jobs on some machines are linear, decreasing functions with respect to the amount of continuously-divisible, non-renewable, locally and totally constrained resources, e.g. energy, catalyzer, raw materials, etc. The purpose is to find a processing order of jobs that is the same on each machine and a resource allocation that minimizes the length of the time required to complete all jobs, i.e. makespan. Since the problem is strongly NP-hard, some heuristic algorithms of a genetic type were applied to solve it. These algorithms strongly employ some substantial problem properties, which were proved. The results of some computational experiments are also included. Copyright Kluwer Academic Publishers 1998

Date: 1998
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DOI: 10.1023/A:1018924517216

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