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A Queueing Inventory System with Two Channels of Service

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Distributed Computer and Communication Networks (DCCN 2020)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 12563))

Abstract

We consider a queueing inventory model with positive service time and two service channels. Channel I is a single server facility and channel II is a bulk service facility. There are two types of customers, type-I and type-II. The same type of commodity is served to both types of customers. Channel I provides service to type-I customers and channel II provides service to type-II customers. Service is initiated only if inventory is available. Bulk service is initiated at the end of a random clock or by the accumulation of N type-II customers. The inventory replenishment follows the (s, S) policy with positive leadtime. The service time follows phase type distribution. Steady state analysis of the model is performed. Some performance measures are evaluated.

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Authors and Affiliations

  1. Department of Mathematics, B.K College Amalagiri, Kottayam, India

    Nisha Mathew

  2. Department of Mathematics, CMS College, Kottayam, India

    V. C. Joshua & A. Krishnamoorthy

Authors
  1. Nisha Mathew
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  2. V. C. Joshua
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  3. A. Krishnamoorthy
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Corresponding author

Correspondence to Nisha Mathew .

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Editors and Affiliations

  1. Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia

    Vladimir M. Vishnevskiy

  2. RUDN University, Moscow, Russia

    Konstantin E. Samouylov

  3. Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia

    Dmitry V. Kozyrev

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Mathew, N., Joshua, V.C., Krishnamoorthy, A. (2020). A Queueing Inventory System with Two Channels of Service. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds) Distributed Computer and Communication Networks. DCCN 2020. Lecture Notes in Computer Science(), vol 12563. Springer, Cham. https://doi.org/10.1007/978-3-030-66471-8_46

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  • DOI: https://doi.org/10.1007/978-3-030-66471-8_46

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-66470-1

  • Online ISBN: 978-3-030-66471-8

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