Cyclic jobshop problem and (max,plus) algebra
نویسنده
چکیده
In this paper, we focus on the cyclic job-shop problem. This problem consists in determining the order of a set of generic tasks on machines in order to minimize the cycle time of the sequence. We propose an exact method to solve this problem. For each solution, a linear max-plus model (possibly non causal) is obtained. To evaluate the performance of a considered schedule, we build the causal max-plus representation and compute the eigenvalue of the evolution matrix. A branch and bound procedure is presented.
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