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@article{Cheng2000APF, title={A permutation flow-shop scheduling problem with convex models of operation processing times}, author={T. C. Edwin Cheng and Adam Janiak}, journal={Annals OR}, year={2000}, volume={96}, pages={39-60} }

- Published in Annals OR 2000
DOI:10.1023/A:1018943300630

The paper is an extension of the classical permutation flow-shop scheduling problem to the case where some of the job operation processing times are convex decreasing functions of the amounts of resources (e.g., financial outlay, energy, raw material) allocated to the operations (or machines on which they are performed). Some precedence constraints among the jobs are given. For this extended permutation flow-shop problem, the objective is to find a processing order of the jobs (which will be… CONTINUE READING