American Journal of Operations Management and Information Systems

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Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model

Received: 03 December 2018    Accepted: 14 December 2018    Published: 02 January 2019
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Abstract

This research work is based on queuing theory and its application analysis on bus services using single server and multiple servers’ models, a case study of Federal Polytechnic transport system, Kaura Namoda. The aim of this paper is to compare the parameters of single server and multiple servers’ models. Primary data was employed using observation method in the course of conducting this research. The data was analyzed, using manual computations to validate the results. The research revealed that the traffic intensity, average number of customers in the system, average number of customers in the queue, average time spent in the system, Average time spent in the queue of a single server and multiple servers are 0.9355,14.5, 13.5645,0.25, 0.2339 and 0.4677, 1.1974, 0.2619, 0.0206,0.0045 respectively. This therefore indicates that the multiple servers’ model is more efficient than single server model as it minimizes these parameters. It is therefore recommended that the management should provide more school buses in order to reduce the traffic congestion.

DOI 10.11648/j.ajomis.20180304.12
Published in American Journal of Operations Management and Information Systems (Volume 3, Issue 4, December 2018)
Page(s) 81-85
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Servers, Queue, Service Rate, Arrival Rate, Exponential Distribution and Poisson Distribution

References
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[3] Gibson, J., Baeza, I., Willumsen, L. G., 1989. Bus stops, congestion, and congested bus stops. Traffic Engineering and Control 30(6), 291-302.
[4] Sundarapandian, V. (2009). 7. Queueing Theory: Probability, Statistics and Queueing Theory. PHI Learning. ISBN 8120338448.
[5] Intikhab, QA., Huapu, L., & Shi Y. (2008). Urban Transportation and Equity: A Case Study of Beijing and Karachi. In Transportation Research Part A: Policy and Practice, 42: 1.
[6] Wane, H. R. (2001). Urban Mobility and Emissions : Towards Accurate Standards for Sub-Saharan Africa. A ResearchProgram and Results on a Sahelian Case: The District of Bamako. At the Session on Air Pollution, Accra, Ghana, April 18-20, 2001. Retrieved November 03, 2008http://www.worldbank.org/transport/utsr/accra/wane.pdf.
[7] Walsh, M. (1990). Global Trends in Motor Vehicle use and Emissions. In Annual Review of Energy, Volume 15, pp. 217-243.
[8] Dimitriou, HT. (1990). Transport Planning for Third World Cities. Editor Routelege, Chapman and Hall, Inc., 1990. 432 pp. + xxii. ISBN 0-415-00448-9.
[9] Tencer, Daniel (2011). Number Of Cars Worldwide Surpasses 1 Billion; Can The World Handle This Many Wheels? Retrieved February 07, 2013 from http://www.huffingtonpost.ca/2011/08/23/car-population_n_934291.html.
[10] Anokye M., Abdul Aziz A. R., Annin K. and Oduro F. T. (2013) Application of Queuing Theory to Vehicular Traffic at Signalized Intersection in Kumasi-Ashanti Region, Ghana, American International Journal of Contemporary Research, 3.(7), 23-29.
[11] Akinnuli B. O. and Olugbade T., (2014) Application of Queue Model for Performance Assessment of Multi-Channel Multi-Servers Motor Spirit Filling Station, International Journal of Engineering and Innovative Technology (IJEIT), 3(7), 74-81.
[12] Babicheva T. S.(2015). The use of queuing theory at research and optimization of traffic on the signal-controlled road intersections, Procedia Computer Science, 55 , 469 – 478.
[13] Arifin M. Z., Probowati B. D., Hastuti S., (2015). Applications of Queuing Theory in the Tobacco Supply, Agriculture and Agricultural Science Procedia , 255 – 261.
[14] Hiray, J., (2008), Waiting Lines and Queuing System. An Article of Business Management.
Author Information
  • Department of Business Administration, Usmanu Danfodiyo University, Sokoto, Nigeria

  • Department of Business Administration and Management, Federal Polytechnic, Kaura Namoda, Nigeria

  • Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

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  • APA Style

    Maryam Abubakar Koko, Muhammad Sani Burodo, Shamsuddeen Suleiman. (2019). Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model. American Journal of Operations Management and Information Systems, 3(4), 81-85. https://doi.org/10.11648/j.ajomis.20180304.12

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    ACS Style

    Maryam Abubakar Koko; Muhammad Sani Burodo; Shamsuddeen Suleiman. Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model. Am. J. Oper. Manag. Inf. Syst. 2019, 3(4), 81-85. doi: 10.11648/j.ajomis.20180304.12

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    AMA Style

    Maryam Abubakar Koko, Muhammad Sani Burodo, Shamsuddeen Suleiman. Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model. Am J Oper Manag Inf Syst. 2019;3(4):81-85. doi: 10.11648/j.ajomis.20180304.12

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  • @article{10.11648/j.ajomis.20180304.12,
      author = {Maryam Abubakar Koko and Muhammad Sani Burodo and Shamsuddeen Suleiman},
      title = {Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model},
      journal = {American Journal of Operations Management and Information Systems},
      volume = {3},
      number = {4},
      pages = {81-85},
      doi = {10.11648/j.ajomis.20180304.12},
      url = {https://doi.org/10.11648/j.ajomis.20180304.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajomis.20180304.12},
      abstract = {This research work is based on queuing theory and its application analysis on bus services using single server and multiple servers’ models, a case study of Federal Polytechnic transport system, Kaura Namoda. The aim of this paper is to compare the parameters of single server and multiple servers’ models. Primary data was employed using observation method in the course of conducting this research. The data was analyzed, using manual computations to validate the results. The research revealed that the traffic intensity, average number of customers in the system, average number of customers in the queue, average time spent in the system, Average time spent in the queue of a single server and multiple servers are 0.9355,14.5, 13.5645,0.25, 0.2339 and 0.4677, 1.1974, 0.2619, 0.0206,0.0045 respectively. This therefore indicates that the multiple servers’ model is more efficient than single server model as it minimizes these parameters. It is therefore recommended that the management should provide more school buses in order to reduce the traffic congestion.},
     year = {2019}
    }
    

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    AU  - Maryam Abubakar Koko
    AU  - Muhammad Sani Burodo
    AU  - Shamsuddeen Suleiman
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    JF  - American Journal of Operations Management and Information Systems
    JO  - American Journal of Operations Management and Information Systems
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    AB  - This research work is based on queuing theory and its application analysis on bus services using single server and multiple servers’ models, a case study of Federal Polytechnic transport system, Kaura Namoda. The aim of this paper is to compare the parameters of single server and multiple servers’ models. Primary data was employed using observation method in the course of conducting this research. The data was analyzed, using manual computations to validate the results. The research revealed that the traffic intensity, average number of customers in the system, average number of customers in the queue, average time spent in the system, Average time spent in the queue of a single server and multiple servers are 0.9355,14.5, 13.5645,0.25, 0.2339 and 0.4677, 1.1974, 0.2619, 0.0206,0.0045 respectively. This therefore indicates that the multiple servers’ model is more efficient than single server model as it minimizes these parameters. It is therefore recommended that the management should provide more school buses in order to reduce the traffic congestion.
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