Multi-Class, Multi-Server Queueing Inventory System with Batch Service

نویسندگان

چکیده

In this paper, we consider a queueing inventory system with batch arrival and service processes. Customers arrive in batches of sizes 1,2,…,k, according to marked compound Poisson process. We call customers as belonging j when there are individual that batch. The facility has waiting rooms for each category also room serve them. Except 1, all other have finite rooms. only limited number seats. These seats arranged such fashion groups seats, j=1,2,…,k. taken the availability designated category. A customer can be if items available inventory. time is exponentially distributed parameter depending on restricted number. replenishment follows (s,S) policy: fill up S at replenishment. Lead an exponential distribution. analyze equilibrium state. Performance characteristics evaluated numerical illustrations provided.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11040830