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Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy

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  • Kumar, Anshul
  • Jain, Madhu

Abstract

In this investigation, an unreliable server Markovian queueing model is developed for a service system by considering two stage service process and hybrid vacation policy. By including the features of combination of working vacation (WV) and complete vacation (CV), the steady state probability distribution of the queue size of two stage service model via matrix geometric approach has been established. The cost function has been formulated to evaluate the optimal values of the decision variables of the service system. Particle swarm optimization (PSO) and Artificial bee colony (ABC) optimization algorithms are employed to compute the optimal service rates at optimum cost. To validate the model, numerical illustrations along with sensitivity analysis have been provided.

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  • Kumar, Anshul & Jain, Madhu, 2023. "Cost Optimization of an Unreliable server queue with two stage service process under hybrid vacation policy," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 259-281.
    • Handle: RePEc:eee:matcom:v:204:y:2023:i:c:p:259-281
    DOI: 10.1016/j.matcom.2022.08.007
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    References listed on IDEAS

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    Cited by:

    1. Gorbunova, A.V. & Lebedev, A.V., 2023. "Nonlinear approximation of characteristics of a fork–join queueing system with Pareto service as a model of parallel structure of data processing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 409-428.

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