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A classical retrial queueing inventory system with two component demand rate

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  • M. Abdul Reiyas
  • K. Jeganathan

Abstract

We deal with a two component demand rate inventory system that is composed of two arrival patterns of customers known as homogeneous and non-homogeneous arrival patterns. The homogeneous arrival pattern occurs at zero inventory and the arriving customer compulsorily enters into an infinite orbit. But at the time of positive inventory, the non-homogeneous arrival pattern occurs at a rate which depends on the present stock level (PSL). We set a classical retrial policy (CRP) for an orbital demand and (s, Q) ordering policy to fix for any reorder. In this model, Laplace-Stieltjes transform (LST) is used to investigate the waiting time of a retrial demand under the stability condition and all the necessary system characteristics are measured using a matrix-geometric approach and further the sufficient numerical tabulations and illustrations are detailed to explore the suitability of the proposed model.

Suggested Citation

  • M. Abdul Reiyas & K. Jeganathan, 2023. "A classical retrial queueing inventory system with two component demand rate," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 47(4), pages 508-533.
    • Handle: RePEc:ids:ijores:v:47:y:2023:i:4:p:508-533
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    Cited by:

    1. Kathirvel Jeganathan & Thanushkodi Harikrishnan & Kumarasankaralingam Lakshmanan & Agassi Melikov & Janos Sztrik, 2023. "Modeling of Junior Servers Approaching a Senior Server in the Retrial Queuing-Inventory System," Mathematics, MDPI, vol. 11(22), pages 1-31, November.

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