Two server Markovian inventory systems with server interruptions: Heterogeneous vs. homogeneous servers

K. Jeganathan, M. Abdul Reiyas, K. Prasanna Lakshmi and S. Saravanan

Mathematics and Computers in Simulation (MATCOM), 2019, vol. 155, issue C, 177-200

Abstract: This paper discusses about Markovian (s,Q) inventory-queueing system with server interruptions of two heterogeneous servers. Matrix method is applied to obtain the steady state joint probability distribution of customers level in the queue, retrial group, status of the servers and stock level of heterogeneous system. This paper studies the significant effect of heterogeneous system (each server work with different service rate) as compared with homogeneous system (all servers work with same service rate). Performance measures are derived for heterogeneous system and homogeneous system. Appropriate cost functions for both models are defined. Numerical examples are used to compare the total expected cost rates of both systems. Heterogeneous system yields the minimum total expected cost value and therefore the heterogeneous system is effective.

Keywords: Markov process; Orbital search; Vacation; Heterogeneous and homogeneous servers; Server interruptions (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:155:y:2019:i:c:p:177-200

DOI: 10.1016/j.matcom.2018.03.001

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