Journal article

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


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Publication Details

Author list: Sivasamy Ramasamy, Hosia-Setlhare Keamogetse, Molefe Wilford, Olebogeng Mokgware

Publication year: 2023

Journal: International Journal of Membrane Science and Technology

Volume number: 10

Issue number: 2

Start page: 3439

End page: 3449

Number of pages: 11

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



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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Last updated on 2025-17-03 at 15:01