یک مدل بهینه سازی مبتنی بر صف برای برنامه ریزی موجودی قطعات تعمیر شده در یک مرکز خدمات

We address the problem of managing repair capacity and repaired component inventory in a service center. With modular products, the repair essentially involves identifying the faulty component in the product and replacing it with a repaired component or a new component, if repaired components are not available in stock. The faulty component is then repaired and used to service a future faulty product that arrives for repair. The problem is modeled as a queueing system with a limit on the queue length. The total cost function involves the steady-state probabilities and queue length of the queueing system. Using the properties of the cost function that we derive, we identify bounds on the decision variables, and use them in developing an algorithm to determine the optimal repair capacity and repaired component inventory. A computational study is carried out to investigate the impact of the various cost parameters on the optimal solution.