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On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time

Author

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  • Dhanya Shajin

    (Sree Narayana College)

  • A. Krishnamoorthy

    (CMS College)

Abstract

We consider a queueing-inventory problem with Markovian arrival process, phase type distributed service time. The life time of items is exponentially distributed; all items perish together which means they have a common life time. Reservation (purchase) and cancellation of purchased items is permitted as long as the common life time is not realized. In addition overbooking of items upto a certain maximum is also permitted. When system is fully overbooked waiting customers tend to leave the system. On realization of common life time, instantly S items are procured resulting in the commencement of next cycle. In the particular case of Poisson process and exponentially distributed service time we show that the system admits asymptotic product form solution. System state characteristics are computed which are then numerically illustrated for different sets of values for the input parameters.

Suggested Citation

  • Dhanya Shajin & A. Krishnamoorthy, 2021. "On a queueing-inventory system with impatient customers, advanced reservation, cancellation, overbooking and common life time," Operational Research, Springer, vol. 21(2), pages 1229-1253, June.
    • Handle: RePEc:spr:operea:v:21:y:2021:i:2:d:10.1007_s12351-019-00475-3
    DOI: 10.1007/s12351-019-00475-3
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. A. Krishnamoorthy & Dhanya Shajin & B. Lakshmy, 2016. "On a queueing-inventory with reservation, cancellation, common life time and retrial," Annals of Operations Research, Springer, vol. 247(1), pages 365-389, December.
    Full references (including those not matched with items on IDEAS)

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