Cost optimization of a M/M/1/WV&MAV queueing system using Newton–Raphson and particle swarm optimization techniques

Ramachandran Remya (), Amina Angelika Bouchentouf () and Kaliappan Kalidass ()

Operations Research and Decisions, 2024, vol. 34, issue 3, 205-220

Abstract: This paper is concerned with the optimal control of a Markovian queueing system subjected to multiple adaptive vacation and working vacation policies. This system is applicable in diverse modern technologies, in particular in call centers. We establish the steady-state solution as well as important system characteristics by means of probability generating functions technique. We also construct the expected total cost for this model and develop a procedure to determine the optimal service rate that yields the minimum cost. Further, we carried out a comparative analysis to obtain the minimum cost using the Newton–Raphson method and particle swarm optimization (PSO) algorithm.

Keywords: Markovian queue; working vacation; adaptive vacations; cost model; optimization (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:wut:journl:v:34:y:2024:i:3:p:205-220:id:11

DOI: 10.37190/ord2403011

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