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A Production Inventory System with Service Time and Production Vacations

  • Dequan Yue
  • Yaling QinEmail author
Article

Abstract

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.

Keywords

Production inventory system service time lost sales queue length cost function 

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Notes

Acknowledgements

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).

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Copyright information

© Systems Engineering Society of China and Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  1. 1.School of ScienceYanshan UniversityQinhuangdaoChina
  2. 2.School of Economics and ManagementYanshan UniversityQinhuangdaoChina

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