PUBLISHED PAPERS #33
| Laman POLADOVA, Gulnare VELIJANOVA. Model of queuing-inventory system with catastrophes and random replenishment policy |
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| Abstract. A model of a queuing-inventory system with catastrophes and a random replenishment policy is developed in the form of a one-dimensional Markov chain. Explicit formulas to calculate the steady-state probabilities of the constructed Markov chain are obtained and performance measures of the investigated system are determined by using these formulas. Results of numerical experiments are demonstrated. |
| Keywords: queuing-inventory system; catastrophes; randomized replenishment policy; Markov chain; calculation algorithm |
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| DOI: https://doi.org/10.54381/plmo2023.33 |