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A Discrete Event Simulation Model for Evaluating the Performances of an M/G/C/C State Dependent Queuing System

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Listed:
  • Ruzelan Khalid
  • Mohd Kamal M. Nawawi
  • Luthful A Kawsar
  • Noraida A Ghani
  • Anton A Kamil
  • Adli Mustafa

Abstract

M/G/C/C state dependent queuing networks consider service rates as a function of the number of residing entities (e.g., pedestrians, vehicles, and products). However, modeling such dynamic rates is not supported in modern Discrete Simulation System (DES) software. We designed an approach to cater this limitation and used it to construct the M/G/C/C state-dependent queuing model in Arena software. Using the model, we have evaluated and analyzed the impacts of various arrival rates to the throughput, the blocking probability, the expected service time and the expected number of entities in a complex network topology. Results indicated that there is a range of arrival rates for each network where the simulation results fluctuate drastically across replications and this causes the simulation results and analytical results exhibit discrepancies. Detail results that show how tally the simulation results and the analytical results in both abstract and graphical forms and some scientific justifications for these have been documented and discussed.

Suggested Citation

  • Ruzelan Khalid & Mohd Kamal M. Nawawi & Luthful A Kawsar & Noraida A Ghani & Anton A Kamil & Adli Mustafa, 2013. "A Discrete Event Simulation Model for Evaluating the Performances of an M/G/C/C State Dependent Queuing System," PLOS ONE, Public Library of Science, vol. 8(4), pages 1-9, April.
    • Handle: RePEc:plo:pone00:0058402
    DOI: 10.1371/journal.pone.0058402
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    References listed on IDEAS

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    1. Laoucine Kerbache & J. Macgregor Smith, 2012. "State Dependent Models of Material Handling Systems in Closed Queueing Networks," Post-Print hal-00796338, HAL.
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    Cited by:

    1. Wu, Pei-Yang & Guo, Ren-Yong, 2021. "Simulation of pedestrian flows through queues: Effect of interaction and intersecting angle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Ruzelan Khalid & Mohd Kamal Mohd Nawawi & Nurhanis Ishak & Md Azizul Baten, 2023. "Optimising pedestrian flow in a topological network using various pairwise speed-density models," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 33(4), pages 53-69.
    3. Ingolfsson, Armann & Almehdawe, Eman & Pedram, Ali & Tran, Monica, 2020. "Comparison of fluid approximations for service systems with state-dependent service rates and return probabilities," European Journal of Operational Research, Elsevier, vol. 283(2), pages 562-575.
    4. Khattak, Afaq & Hussain, Arshad, 2021. "Hybrid DES-PSO framework for the design of commuters’ circulation space at multimodal transport interchange," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 180(C), pages 205-229.
    5. Li, Wenhang & Li, Yi & Yu, Ping & Gong, Jianhua & Fan, Hongkui & Zhang, Dong & Huang, Lin & Zhang, Guoyong, 2022. "Modeling orderly queuing behavior with bending effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 601(C).

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