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

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Remya R., Bouchentouf A. A., Kalidass K.
Operations Research and Decisions
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2024
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vol. 34
|
issue 3
205-220
EN
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.
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