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1 Operations Research and Decisions

1 2024

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

Remya Ramachandran, Bouchentouf Amina Angelika, Kalidass Kaliappan

Operations Research and Decisions

2024

Vol. 34, No. 3

205--220

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.