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Evaluation of Job-shops with Random Manufacturing Times: a Petri Net Approach.

Laftit, S.; Proth, J.M.

INRIA, Rapports de Recherche No. 1112. Le Chesnay: Institut National de Recherche en Informatique et en Automatique, 1989.

Abstract: In this paper, event graphs are used to evaluate job-shops when manufacturing times are random variables and the control is defined as the sequence of product types at the entrance of each machine. Under very general assumptions, it is proven that the cycle time of the system converges in probability to a constant and asymptotically tends in distribution to a normal distribution whose standard deviation tends to zero.


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