A Discrete Time Geometric Queue Attached to an Inventory under a (0, Q) Policy

Authors

  • R Sivasamy Department of Statistics, University of Botswana, Gaborone, Botswana
  • K. Setlhare Department of Statistics, University of Botswana, Gaborone, Botswana
  • W.B. Molefe Department of Statistics, University of Botswana, Gaborone, Botswana
  • Olebogeng Mokgwar Department of Statistics, University of Botswana, Gaborone, Botswana.

DOI:

https://doi.org/10.15379/ijmst.v10i2.3148

Keywords:

stochastic processes, threshold policy, stationary distribution, order quantity

Abstract

This paper describes how a threshold policy, or TP = [(0, Q), 1]-based inventory management, economically offers customers a single product with a discrete time geometric queue attached to a Geo/Geo/1 service base. The order for Q units starts when inventory I(t) at time ’t’ drops to the level ’0’, and the length of the queueing process X(t) is at least one. We focus on the process Z(t) = (X(t), I(t)), t  [0, ?). We then analyse the steady state probabilities and then provides a numerical study for graphing the economic order quantity.

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Published

2023-07-18

How to Cite

[1]
R. . . Sivasamy, K. . Setlhare, W. . Molefe, and O. . Mokgwar, “A Discrete Time Geometric Queue Attached to an Inventory under a (0, Q) Policy”, ijmst, vol. 10, no. 2, pp. 3439-3449, Jul. 2023.

Issue

Vol. 10 No. 2 (2023): Continuous publication

Section

Articles

License

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