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Future Access Enablers for Ubiquitous and Intelligent Infrastructures. 8th EAI International Conference, FABULOUS 2024, Zagreb, Croatia, May 9–10, 2024, Proceedings

Research Article

Impact of Service Time Distributions and Server Utilization on Tandem Queueing System Performance

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BibTeX Plain Text
  • @INPROCEEDINGS{10.1007/978-3-031-72393-3_6,
        author={Marko Matulin and Štefica Mrvelj and Luka Čop},
        title={Impact of Service Time Distributions and Server Utilization on Tandem Queueing System Performance},
        proceedings={Future Access Enablers for Ubiquitous and Intelligent Infrastructures. 8th EAI International Conference, FABULOUS 2024, Zagreb, Croatia, May 9--10, 2024, Proceedings},
        proceedings_a={FABULOUS},
        year={2024},
        month={10},
        keywords={queueing system queueing theory system performance service time waiting time Markovian system non-Markovian system},
        doi={10.1007/978-3-031-72393-3_6}
    }
    
  • Marko Matulin
    Štefica Mrvelj
    Luka Čop
    Year: 2024
    Impact of Service Time Distributions and Server Utilization on Tandem Queueing System Performance
    FABULOUS
    Springer
    DOI: 10.1007/978-3-031-72393-3_6
Marko Matulin1,*, Štefica Mrvelj1, Luka Čop1
  • 1: Faculty of Transport and Traffic Sciences, University of Zagreb, Vukeliceva 4
*Contact email: mmatulin@fpz.unizg.hr

Abstract

The paper explores the performance dynamics of a tandem queueing system (TQS) comprising two interconnected nodes and assesses its responsiveness under varying service conditions. By using simulation tools, we conducted a range of tests to discover the variability of waiting times in the queues and the system, for different server utilization, as well as for cases when the service times follow exponential and normal distributions. We discovered the interplay between the nodes, i.e., how the performance of one node affects the other within the same TQS. Namely, we showed how the waiting times in the queues are crucial in understanding the TQS dynamics. We also compared the simulation results with the well-established analytical models and discovered that their applicability is limited. Particularly noteworthy was the disparity observed in the performance estimation of the second node within the TQS across all simulations, indicating potential over- or underestimation by analytical models.

Keywords
queueing system queueing theory system performance service time waiting time Markovian system non-Markovian system
Published
2024-10-16
Appears in
SpringerLink
http://dx.doi.org/10.1007/978-3-031-72393-3_6
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