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A finite-source inventory system with service facility and postponed demands

Author

Listed:
  • J. Sebastian Arockia Jenifer

    (J.J. College of Engineering and Technology)

  • A. Shophia Lawrence

    (Madurai Kamaraj University)

  • B. Sivakumar

    (Madurai Kamaraj University)

Abstract

In this article, a continuous review finite-source inventory system with single-server service facility is studied. The arrival of customers for unit item follows quasi-random process. The service time to process the item follows phase-type distribution. (s, S) policy is adopted for replenishing an order. The lead time follows phase-type distribution. An arriving customer who finds waiting hall full, (s)he either enters into the pool or leaves the system immediately according to a Bernoulli trial. A pooled customer is selected according to a prefixed selection policy. The joint probability distribution of the inventory level, number of customers in the pool and number of customers in the waiting hall is obtained in the steady-state case. Various stationary system performance measures are derived and total expected cost rate is calculated. Some numerical examples including optimality of the total expected cost rate are also presented.

Suggested Citation

  • J. Sebastian Arockia Jenifer & A. Shophia Lawrence & B. Sivakumar, 2023. "A finite-source inventory system with service facility and postponed demands," Annals of Operations Research, Springer, vol. 331(2), pages 867-897, December.
    • Handle: RePEc:spr:annopr:v:331:y:2023:i:2:d:10.1007_s10479-022-05041-3
    DOI: 10.1007/s10479-022-05041-3
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    References listed on IDEAS

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    1. Bijvank, Marco & Vis, Iris F.A., 2011. "Lost-sales inventory theory: A review," European Journal of Operational Research, Elsevier, vol. 215(1), pages 1-13, November.
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    4. I. Padmavathi & A. Shophia Lawrence & B. Sivakumar, 2016. "A finite-source inventory system with postponed demands and modified M vacation policy," OPSEARCH, Springer;Operational Research Society of India, vol. 53(1), pages 41-62, March.
    5. Falin, G. I. & Artalejo, J. R., 1998. "A finite source retrial queue," European Journal of Operational Research, Elsevier, vol. 108(2), pages 409-424, July.
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