A Production Inventory System with Service Time and Production Vacations
- 36 Downloads
In this paper, we consider a production inventory system with service time and production vacations. Customers arrive in the system according to a Poisson process requiring service from a single server. The single production facility produces items according to an (s, S) policy, and it takes a vacation of random duration once the inventory level becomes (S. It is assumed that all arriving customers are lost during the stock out period. We first derive the stationary joint distribution of the queue length and the on-hand inventory level in product form. Then, we compute explicitly some performance measures, and develop a cost function based on these performance measures. Finally, some numerical results are presented.
KeywordsProduction inventory system service time lost sales queue length cost function
Unable to display preview. Download preview PDF.
The authors sincerely thank the anonymous reviewers for their helpful comments that improved the quality of the paper. This work was supported in part by the Natural Science Foundation of Hebei Province, China (No. A2017203078).