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Analysis of a Batch Service Queueing System Associated with Inventory Transport

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Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN 2021)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 13144))

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Abstract

This paper considers a single server batch service queueing system in which service is provided in at most k stages. A batch of customers is admitted for service under GBS - rule (with minimum batch size a and maximum batch size b). The customers have the choice to leave the system after service completion from any stage. The service time of a customer in a stage depends on the stage as well as the number of customers being served in that stage. The stability of such a system is investigated and key performance measures computed based on system state distribution. The time required to provide service to a batch of specified size is analyzed. An optimization problem is considered and a numerical example provided.

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References

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Author information

Authors and Affiliations

  1. Centre for Research in Mathematics, CMS College, Kottayam, 686001, India

    Achyutha Krishnamoorthy

  2. Department of Mathematics, Union Christian College, Aluva, 683102, India

    Anu Nuthan Joshua

  3. Department of Mathematics, Cochin University of Science and Technology, Cochin, 682022, Kerala, India

    Anu Nuthan Joshua

Authors
  1. Achyutha Krishnamoorthy
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  2. Anu Nuthan Joshua
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Editor information

Editors and Affiliations

  1. V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. Applied Probability and Informatics Department, RUDN University, Moscow, Russia

    Konstantin E. Samouylov

  3. V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Krishnamoorthy, A., Joshua, A.N. (2021). Analysis of a Batch Service Queueing System Associated with Inventory Transport. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks: Control, Computation, Communications. DCCN 2021. Lecture Notes in Computer Science(), vol 13144. Springer, Cham. https://doi.org/10.1007/978-3-030-92507-9_14

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  • DOI: https://doi.org/10.1007/978-3-030-92507-9_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-92506-2

  • Online ISBN: 978-3-030-92507-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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