A classical retrial queueing inventory system with two component demand rate
by M. Abdul Reiyas; K. Jeganathan
International Journal of Operational Research (IJOR), Vol. 47, No. 4, 2023

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.

Online publication date: Thu, 10-Aug-2023

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