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

Maryam Abubakar Koko; Muhammad Sani Burodo; Shamsuddeen Suleiman

doi:doi:10.11648/j.ajomis.20180304.12

| Peer-Reviewed

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

Maryam Abubakar Koko, Muhammad Sani Burodo, Shamsuddeen Suleiman

Published in American Journal of Operations Management and Information Systems (Volume 3, Issue 4)

Received: 3 December 2018 Accepted: 14 December 2018 Published: 2 January 2019

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

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.

Published in	American Journal of Operations Management and Information Systems (Volume 3, Issue 4)
DOI	10.11648/j.ajomis.20180304.12
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), 2019. Published by Science Publishing Group

Keywords

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

References

[1]	Fernandez, R., 2010. Modelling public transport stops by microscopic simulation. Transportation Research Part C: Emerging Technologies 18(6), 856-868.
[2]	Fernandez, R., Planzer, R., 2002. On the capacity of bus transit systems. Transport Reviews 22(3), 267-293.
[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.

Cite This Article

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model
AU  - Maryam Abubakar Koko
AU  - Muhammad Sani Burodo
AU  - Shamsuddeen Suleiman
Y1  - 2019/01/02
PY  - 2019
N1  - https://doi.org/10.11648/j.ajomis.20180304.12
DO  - 10.11648/j.ajomis.20180304.12
T2  - American Journal of Operations Management and Information Systems
JF  - American Journal of Operations Management and Information Systems
JO  - American Journal of Operations Management and Information Systems
SP  - 81
EP  - 85
PB  - Science Publishing Group
SN  - 2578-8310
UR  - https://doi.org/10.11648/j.ajomis.20180304.12
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.
VL  - 3
IS  - 4
ER  -

Copy | Download

Author Information

Maryam Abubakar Koko

Department of Business Administration, Usmanu Danfodiyo University, Sokoto, Nigeria
Muhammad Sani Burodo

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

Department of Mathematics, Usmanu Danfodiyo University, Sokoto, Nigeria

Download PDF

Sections

Plain Text BibTeX RIS

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

Copy | Download

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

Copy | Download

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

Copy | Download

@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://article.sciencepublishinggroup.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}
}

Copy | Download

TY  - JOUR
T1  - Queuing Theory and Its Application Analysis on Bus Services Using Single Server and Multiple Servers Model
AU  - Maryam Abubakar Koko
AU  - Muhammad Sani Burodo
AU  - Shamsuddeen Suleiman
Y1  - 2019/01/02
PY  - 2019
N1  - https://doi.org/10.11648/j.ajomis.20180304.12
DO  - 10.11648/j.ajomis.20180304.12
T2  - American Journal of Operations Management and Information Systems
JF  - American Journal of Operations Management and Information Systems
JO  - American Journal of Operations Management and Information Systems
SP  - 81
EP  - 85
PB  - Science Publishing Group
SN  - 2578-8310
UR  - https://doi.org/10.11648/j.ajomis.20180304.12
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.
VL  - 3
IS  - 4
ER  -

Copy | Download