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GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time

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  • A. Krishnamoorthy

    (Cochin University of Science and Technology)

  • Dhanya Shajin

    (Cochin University of Science and Technology)

  • B. Lakshmy

    (Cochin University of Science and Technology)

Abstract

In this paper we analyze two single server queueing-inventory systems in which items in the inventory have a random common life time. On realization of common life time, all customers in the system are flushed out. Subsequently the inventory reaches its maximum level S through a (positive lead time) replenishment for the next cycle which follows an exponential distribution. Through cancellation of purchases, inventory gets added until their expiry time; where cancellation time follows exponential distribution. Customers arrive according to a Poisson process and service time is exponentially distributed. On arrival if a customer finds the server busy, then he joins a buffer of varying size. If there is no inventory, the arriving customer first try to queue up in a finite waiting room of capacity K. Finding that at full, he joins a pool of infinite capacity with probability γ (0

Suggested Citation

  • A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "GI/M/1 type queueing-inventory systems with postponed work, reservation, cancellation and common life time," Indian Journal of Pure and Applied Mathematics, Springer, vol. 47(2), pages 357-388, June.
    • Handle: RePEc:spr:indpam:v:47:y:2016:i:2:d:10.1007_s13226-016-0192-5
    DOI: 10.1007/s13226-016-0192-5
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    References listed on IDEAS

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    1. A. Krishnamoorthy & T. G. Deepak & Viswanath C. Narayanan & K. Vineetha, 2006. "Effective utilization of idle time in an ( s , S ) inventory with positive service tim," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-13, September.
    2. T. Deepak & V. Joshua & A. Krishnamoorthy, 2004. "Queues with postponed work," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 12(2), pages 375-398, December.
    3. O. Berman & K.P. Sapna, 2002. "Optimal service rates of a service facility with perishable inventory items," Naval Research Logistics (NRL), John Wiley & Sons, vol. 49(5), pages 464-482, August.
    4. Maike Schwarz & Hans Daduna, 2006. "Queueing systems with inventory management with random lead times and with backordering," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 64(3), pages 383-414, December.
    5. Krishnamoorthy, A. & Viswanath, Narayanan C., 2013. "Stochastic decomposition in production inventory with service time," European Journal of Operational Research, Elsevier, vol. 228(2), pages 358-366.
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    Cited by:

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