Impact of queuing theory and alternative process ro utings on machine busy time in a dynamic cellular manufacturi ng system

A new mathematical model based on the alternative p rocess routings in presence of a queuing system in a dynamic cellular manufacturing system has been proposed in this paper. This model integrates two problems of cell f ormation and inter-cell layout and also an efficiency factor which is defined for mini mizing the cell load variation through the maximizing the busy time for all machin e types. In order to evaluate the performance of proposed model, some numerical examp les are generated randomly and solved using GAMS optimization software suitabl e for MIP and MINLP models. The Baron solver which is capable of solving both l inear and nonlinear model is implemented. Experimental results verify the applic ability of proposed model in every industrial plant which implements a CMS. Moreover, based on the sensitivity analysis, the queue system has significant impact on overall system efficiency. In other words by increasing the part arrival rate the machine bus y time is increased strictly.