L.E. Poladova, G.M. Velijanova.
Numerical analysis of a queuing-inventory system with catastrophes using (S-1, S) policy
A mathematical model of a QIS with catastrophes is developed. In this system the (S-1, S) policy is used. Analytical formulas are obtained to calculate both the steady-state probabilities and performance measures are obtained. Results of numerical experiments are presented.
Keywords: Queuing-inventory system, Catastrophes, Base stock policy, Markov chain, Calculation
DOI: https://doi.org/10.54381/icp.2024.1.08
Numerical analysis of a queuing-inventory system with catastrophes using (S-1, S) policy
A mathematical model of a QIS with catastrophes is developed. In this system the (S-1, S) policy is used. Analytical formulas are obtained to calculate both the steady-state probabilities and performance measures are obtained. Results of numerical experiments are presented.
Keywords: Queuing-inventory system, Catastrophes, Base stock policy, Markov chain, Calculation
DOI: https://doi.org/10.54381/icp.2024.1.08