Repairable Queuing Model Analysis on a Manufacturing Cell ⋆

In this paper, we consider a queuing model extension for a manufacturing cell composed of a machining center and several parallel downstream predestinations. In the machining center, there is an ample supply of raw material for a number of different part-types. For each type, parts are first processed in the machining center, and then in one of parallel production stations (one for each type). A queuing model is extended with the repairable queuing system to capture failures of production stations and disasters of the manufacturing cell. We present an exact solution for the steady-state probabilities of the proposed queuing model. We use the nonlinear matrix equation to solve the relevant parameters of this queuing system. Further, in order to illustrate the usefulness of the proposed methods, numerical examples are solved. On the basis of the results of these examples, some important conclusions are drawn.