Single-Server Queue System of Shuttle Bus Performance: Federal University of Technology Akure as Case Study

Sidiq Okwudili Ben

doi:10.46281/aijmsr.v5i3.372

Sidiq Okwudili Ben Department of Geography, College of Education Ikere, Ekiti, Nigeria

DOI: https://doi.org/10.46281/aijmsr.v5i3.372

Keywords: Single-Server Queue System; Shuttle Buses; FUTA

Abstract

This study has examined the performance of University transport bus shuttle based on utilization using a Single-server queue system which occur if arrival and service rate is Poisson distributed (single queue) (M/M/1) queue. In the methodology, Single-server queue system was modelled based on Poisson Process with the introduction of Laplace Transform. It is concluded that the performance of University transport bus shuttle is 96.6 percent which indicates a very good performance such that the supply of shuttle bus in FUTA is capable of meeting the demand.

References

Adan, I., and Resing, J. (2015). Queuing Systems. Department of Mathematics and Computer

Science, Eindhoven University of Technology, Netherlands, 2015.

Adanikin, A., Olutaiwo, A., and Obafemi, T. (2017). Performance Study of University of Ado Ekiti (UNAD) Transit Shuttle Buses. American Journal of Traffic and Transportation Engineering, 2(5): 67-73 doi: 10.11648/j.ajtte.20170205.12.

Ademoh, N. A., and Anosike, E. N. (2014). Queuing Modelling of Air Transport Passengers of Nnamdi Azikiwe International Airport Abuja, Nigeria Using Multi Server Approach. Middle East Journal of Scientific Research 21 (12): 2326-2338, 2014 doi: 10.5829/idosi.mejsr.2014.21.12.21807.

Adeniran, A. O., and Kanyio, O. A. (2019). Quantitative Model of Single-Server Queue System. Indian Journal of Engineering, 16, 177-183.

Aderamo, A. J. (2012). Urban transportation problems and challenges in Nigeria: A planner’s view. Prime Journals. 2(3), 198-203.

Bastani P. (2009). A Queuing Model of Hospital Congestion. MSc. Thesis submitted to Department of Mathematics Simon Fraser University

Copper, R. B. (1981). Introduction to Queuing Theory, 2nd Edition North Holland.

Gross, D., and Harris, C. M. (1985). Fundamentals of Queuing Theory, 2nd ed. John Wiley & Sons: New York.

Jain, J. L., Mohanty, S. G., and Bohm, W. (2007). A Course on Queuing Models, Statistics: A series of Textbooks and Monographs, Chapman & Hall/CRC, Taylor & Francis Group.

Sztrik, J. (2012). Basic Queuing Theory. University of Debrecen, Faculty of Informatics.

Trani, A., A. (2011). Introduction to Transportation Engineering, Introduction to Queuing Theory. Virginia Polytechnic Institute and State University, US, Pp: 2-46.