PUBLISHED PAPERS #06.04
| Agassi Melikov, Serife Ozkar. Queue-inventory System with Phase-type Service and Hybrid Replenishment Policy |
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| Abstract. We study a queue-inventory system with hybrid replenishment policy depend on threshold value. Customers come according to a Poisson process and servicing times follow a phase-type distribution. A hybrid replenishment policy depend on the threshold value r is considered. That is, when the inventory level drops to s, if the number of customers in the system is less than r, the (s, Q) policy is applied; if the number is more or equal r, the (s, S) policy is applied. The system is formulated by a continuous-time Markov chain. Stability condition is established and steady-state distribution is obtained using the matrix-geometric method. Numerical studies are performed. |
| Keywords: Queueing-inventory, hybrid replenishment policy, (s, S)-policy, (s Q)-policy, matrix-geometric method, phase-type distribution |
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| DOI: https://doi.org/10.30546/MaCoSEP2025.1345 |