R.R. Mirzayev.
A model of a queuing system with a base stock policy and two supply sources


We propose a Markov model of a two-source queuing-inventory system with an (S-1,S) inventory control policy. Replenishments from different sources are carried out with different delays. If the inventory level falls to a certain threshold value, an emergency order to the fast source is instantly generated, with the fast source being expensive. Events occur in the system, as a result of which the inventory level instantly decreases. The ergodicity conditions of the system under study are found, its stationary distribution is calculated and formulas for finding and optimizing its characteristics are proposed.

Keywords:
Queuing-inventory system, Hybrid inventory policy, Two supply sources, Matrix geometric method

DOI: https://doi.org/10.54381/icp.2022.1.04
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