In order to sequence the tasks of a job shop problem (JSP) on a number of machines related to the technological machine order of jobs, a new representation technique - mathematically known as "permutation with repetition" is presented. The main advantage of this single chromosome representation is - in analogy to the permutation scheme of the traveling salesman problem (TSP) - that it cannot produce illegal operation sequences. As a consequence of the representation scheme a new crossover operator preserving the initial scheme structure of permutations with repetition will be sketched. Its behavior is similar to the well known Order-Crossover for simple permutation schemes. Actually the GOX operator for permutations with repetition arises from a Generalisation of OX. Computational experiments show, that GOX passes the information from a couple of parent solutions efficiently to offspring solutions. Together, the new representation and GOX support the cooperative aspect of genetic search for scheduling problems strongly. © 1995 Springer-Verlag.
CITATION STYLE
Bierwirth, C. (1995). A generalized permutation approach to job shop scheduling with genetic algorithms. OR Spektrum, 17(2–3), 87–92. https://doi.org/10.1007/BF01719250
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