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Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales

Author

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  • Yuying Zhang
  • Dequan Yue
  • Li Sun
  • Jinpan Zuo
  • Bo Yang

Abstract

A queueing-inventory system with server’s vacations and impatient customers is investigated. Continuous review s,S policy is considered for the queueing-inventory system. The server leaves for a vacation once the inventory is zero. The customer arrived waits for service with a probability p or is lost forever with a probability 1−p when the server is off due to a vacation. Customers are impatient during period when the customer is waiting for service in the queue or when the server is off due to a vacation. The matrix geometric solution of the steady-state probability is obtained using the method of truncated approximation. Furthermore, some performance measures are obtained using the steady-state probability. Finally, the effect of system parameters on the performance measures, the optimal policy and the optimal cost are presented by numerical examples.

Suggested Citation

  • Yuying Zhang & Dequan Yue & Li Sun & Jinpan Zuo & Bo Yang, 2022. "Analysis of the Queueing-Inventory System with Impatient Customers and Mixed Sales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2022, pages 1-12, May.
    • Handle: RePEc:hin:jnddns:2333965
    DOI: 10.1155/2022/2333965
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    Cited by:

    1. Agassi Melikov & Ramil Mirzayev & Sajeev S. Nair, 2022. "Double Sources Queuing-Inventory System with Hybrid Replenishment Policy," Mathematics, MDPI, vol. 10(14), pages 1-16, July.
    2. Subramanian Selvakumar & Kathirvel Jeganathan & Krishnasamy Srinivasan & Neelamegam Anbazhagan & Soojeong Lee & Gyanendra Prasad Joshi & Ill Chul Doo, 2023. "An Optimization of Home Delivery Services in a Stochastic Modeling with Self and Compulsory Vacation Interruption," Mathematics, MDPI, vol. 11(9), pages 1-34, April.
    3. M. Nithya & Gyanendra Prasad Joshi & C. Sugapriya & S. Selvakumar & N. Anbazhagan & Eunmok Yang & Ill Chul Doo, 2022. "Analysis of Stochastic State-Dependent Arrivals in a Queueing-Inventory System with Multiple Server Vacation and Retrial Facility," Mathematics, MDPI, vol. 10(17), pages 1-29, August.

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