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A retrial inventory system with priority customers and second optional service

Author

Listed:
  • K. Jeganathan

    (University of Madras)

  • J. Kathiresan

    (Alagappa University)

  • N. Anbazhagan

    (Alagappa University)

Abstract

In this paper, we investigate a single server (s, Q) perishable inventory model consisting of two priority customers, say, type-1 and type-2. The customers arrival flows are independent Poisson processes, and the service times of the type 1 and type 2 customers are exponentially distributed. The server offers two different types of services - first with ordinary service (essential service) and the second with optional service. The idle server first gives ordinary service to the arriving customers (type 1/type 2). Upon first essential service completion, then the server gives additional service (second optional) only to the type 1 customers. We assume that the type 1 customers have both types of priorities (non-preemptive priority and preemptive priority) over the type 2 customers. We discussed retrial concepts only for type-2 customers. The stationary probability distribution of the inventory level, status of the server, number of customer in the orbit and number of customers in the waiting line are obtained by matrix methods and some numerical illustrations are provided.

Suggested Citation

  • K. Jeganathan & J. Kathiresan & N. Anbazhagan, 2016. "A retrial inventory system with priority customers and second optional service," OPSEARCH, Springer;Operational Research Society of India, vol. 53(4), pages 808-834, December.
    • Handle: RePEc:spr:opsear:v:53:y:2016:i:4:d:10.1007_s12597-016-0261-x
    DOI: 10.1007/s12597-016-0261-x
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    References listed on IDEAS

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    1. Liu, Liming & Yang, Tao, 1999. "An (s,[punctuation space]S) random lifetime inventory model with a positive lead time," European Journal of Operational Research, Elsevier, vol. 113(1), pages 52-63, February.
    2. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    3. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    4. Cakanyildirim, Metin & Bookbinder, James H. & Gerchak, Yigal, 2000. "Continuous review inventory models where random lead time depends on lot size and reserved capacity," International Journal of Production Economics, Elsevier, vol. 68(3), pages 217-228, December.
    5. Jau-Chuan Ke & Chia-Huang Wu & Wen Lea Pearn, 2011. "Multi-server retrial queue with second optional service: algorithmic computation and optimisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(10), pages 1755-1769.
    6. Zhao, Ning & Lian, Zhaotong, 2011. "A queueing-inventory system with two classes of customers," International Journal of Production Economics, Elsevier, vol. 129(1), pages 225-231, January.
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    Cited by:

    1. K. Jeganathan & S. Vidhya & R. Hemavathy & N. Anbazhagan & Gyanendra Prasad Joshi & Chanku Kang & Changho Seo, 2022. "Analysis of M / M /1/ N Stochastic Queueing—Inventory System with Discretionary Priority Service and Retrial Facility," Sustainability, MDPI, vol. 14(10), pages 1-29, May.
    2. Umay Uzunoglu Kocer & Bahar Yalcin, 2020. "Continuous review (s, Q) inventory system with random lifetime and two demand classes," OPSEARCH, Springer;Operational Research Society of India, vol. 57(1), pages 104-118, March.

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