A NUMERICAL ANALYSIS OF A QUEUING-INVENTORY SYSTEM WITH CATASTROPHES
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Publication date: 2024-12-20 08:23:00
Authors: LAMAN POLADOVA; GULNARA VALIJANOVA
Category: Computer Science
Summary: A mathematical model of a queuing-inventory system (QIS) with catastrophes is built. Incoming customers form a Poisson flow with rate λ. The customer servicing time in the considered QIS is zero. The (S,Q) replenishment policy is used to increase the inventory level in the system. Here, S is the maximum storage size of the QIS, and Q=S-s indicates the fixed size of the proposed order.
Author keywords: queuing-inventory system; catastrophes; Markov chain; calculation