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Discussion on the Optimization of Finite Buffer Markovian Queue with Differentiated Vacations

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Soft Computing: Theories and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1380))

Abstract

This paper examines the optimality of a single server queues where the server is permitted to take two differentiated hiatus. The inter-arrival times of arriving clients, the service times and two hiatus times are all exponentially distributed with \(\lambda \), \(\mu \), \(\alpha _1\) and \(\alpha _2\), respectively. The ceiling of clients admitted into the system is of L. The stationary system size distributions of the model by using probability generating functions are obtained. Optimization of the model is studied using particle swarm optimization. A few numerical arguments validating the impact of parameters pertaining to in our system on vital performance measures of the model are hosted.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu, 641021, India

    M. Vadivukarasi & K. Kalidass

  2. Department of Mathematics, Periyar University College of Arts and Science, Pappireddipatti, Tamil Nadu, 636905, India

    R. Jayaraman

Authors
  1. M. Vadivukarasi
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  2. K. Kalidass
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  3. R. Jayaraman
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Shobhit University Gangoh, Gangoh, Uttar Pradesh, India

    Tarun K. Sharma

  2. Gwangju Institute of Science and Technology, Gwangju, Korea (Republic of)

    Chang Wook Ahn

  3. Department of Instrumentation and Control Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, India

    Om Prakash Verma

  4. Department of Electrical Engineering, Indian Institute of Technology Delhi, New Delhi, Delhi, India

    Bijaya Ketan Panigrahi

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Vadivukarasi, M., Kalidass, K., Jayaraman, R. (2022). Discussion on the Optimization of Finite Buffer Markovian Queue with Differentiated Vacations. In: Sharma, T.K., Ahn, C.W., Verma, O.P., Panigrahi, B.K. (eds) Soft Computing: Theories and Applications. Advances in Intelligent Systems and Computing, vol 1380. Springer, Singapore. https://doi.org/10.1007/978-981-16-1740-9_43

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