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Optimal two- and three-stage production schedules with set-up time included. (English) Zbl 1349.90359

Summary: Each of a collection of items are to be produced on two machines (or stages). Each machine can handle only one item at a time and each item must be processed through machine one and then through machine two. The setup time plus work time for each item for each machine is known. A simple decision rule is obtained in this paper for the optimal scheduling of the production so that the total elapsed time is a minimum. A three-machine problem is also discussed and solved for a restricted case.

MSC:

90B35 Deterministic scheduling theory in operations research
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References:

[1] ”On a Qualitative Method in Production Planning and Scheduling,” Econometrica, Vol. 20, No. 9, (October 1952), pp. 571–574
[2] ”Linear Model of Production,” RAND Publication P-375A, February 1953.
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