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Designing a production line through optimisation of M/G/c* using simulation

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image of Mathematical Engineering in Industry

In this paper we are concerned with the optimal design of the production line of an industrial unit producing metal parts. We consider this problem in the framework of design and control of M/G/c* queues (i.e. multiserver heterogeneous M/G/c queues). In order to optimise such a system, we study the effect of various design parameters, such as the number of servers and the allocation of desired service rate between the servers on the mean transit time. For this purpose, we use the analysis of variance of the data obtained through simulation of different M/G/c* queues. We show that in order to minimise both mean and dispersion of parts transit time, the industrial unit should run its production line with two identical production facilities. Furthermore, we show that our recommendations reduces the parts mean transit time by at least 10%. In addition, we show that in M/G/c* queueing systems, like any single server M/G/1 system, the mean transit time is an increasing function of the variance of the service time.


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