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The Stability Analysis of a Double-X Queuing Network Occurring in the Banking Sector

Author

Listed:
  • Hong Zhang

    (School of Economics and Management, Changzhou Institute of Technology, Changzhou 213032, China)

  • Saviour Worlanyo Akuamoah

    (Department of Mathematics and Statistics, Ho Technical University, Ho Volta Region P.O. Box HP 217, Ghana)

  • Wilson Osafo Apeanti

    (Faculty of Science, University of Education, Winneba P.O. Box 25, Ghana)

  • Prince Harvim

    (Department of Mathematics and Statistics, University of Ottawa, Ottawa, ON K1N 6N5, Canada)

  • David Yaro

    (Department of Mathematics and Statistics, School of Applied Sciences and Technology, Cape Coast Technical University, Cape Coast P.O. Box DL 50, Ghana)

  • Paul Georgescu

    (Department of Mathematics, Technical University of Iaşi, Bd. Copou 11A, 700506 Iaşi, Romania)

Abstract

We model a common teller–customer interaction occurring in the Ghanaian banking sector via a Double-X queuing network consisting of three single servers with infinite-capacity buffers. The servers are assumed to face independent general renewal of customers and independent identically distributed general service times, the inter-arrival and service time distributions being different for each server. Servers, when free, help serve customers waiting in the queues of other servers. By using the fluid limit approach, we find a sufficient stability condition for the system, which involves the arrival and service rates in the form of a set of inequalities. Finally, the model is validated using an illustrative example from a Ghanaian bank.

Suggested Citation

  • Hong Zhang & Saviour Worlanyo Akuamoah & Wilson Osafo Apeanti & Prince Harvim & David Yaro & Paul Georgescu, 2021. "The Stability Analysis of a Double-X Queuing Network Occurring in the Banking Sector," Mathematics, MDPI, vol. 9(16), pages 1-21, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1957-:d:615561
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    References listed on IDEAS

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