IR Iran						                            
                            
						
 Research Article
												Distribution of Inventory Level on a Repairable Parts System under Performance-Based Contract 						
Author(s): Liu Jiliang, Liu Mingwu, Feng Mengying and Zhang XuLiu Jiliang, Liu Mingwu, Feng Mengying and Zhang Xu             
						
												
				 Mirzahosseinian develop a closed-loop inventory system consisting of a repair facility and a single warehouse, for a repairable parts system operating under a Performance-Based Logistics contract. They model the closed-loop inventory system as a multi-server queueing model (M/M/m queue) where component failures follow Poisson distribution and the repair times at the service facility are exponential. The model sets up the balance equations of the steady-state probability distribution of inventory level. This paper extends their model. A recursive method is utilized and an analytic steady-state probability distribution of inventory level is derived. It also demonstrates by numerical experiments that the analytic steady-state probability distribution is correct. We obtain the analytic system performances and the metrics, which contribute to system cost optimization.
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												DOI:
												 10.4172/2169-0316.1000190 
																	  
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