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Ukeme Paulinus Akra
Edet Offiong Ntekim
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Ukeme Paulinus Akra
Edet Offiong Ntekim
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International Journal of Statistics and Mathematics IF 2015: 4.232

Exploring Queuing Theory to Minimize Traffic Congestion Problem in Calabar-Highway by IBB Road, Cross River State

Akra Ukeme Paulinus, Ntekim Offiong Edet

Accepted 27 July, 2017

Citation: Akra, UP, Ntekim OE (2017). Exploring Queuing Theory to Minimize Traffic Congestion Problem in Calabar-Highway by IBB Road, Cross River State. International Journal of Statistics and Mathematics, 4(1): 099-107.

Copyright: © 2017 Akra and Ntekim. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

Abstract

Traffic congestion has been a serious problem that drivers are facing especially in Calabar – highway by IBB road intersection. In this paper, emphasis is placed on model formation and derivation of some parameters that will help to facilitate the flow of vehicles in this intersection to reduce traffic congestion. The channel considered in this research is multiple queue single servers. We derived variance waiting time of vehicles in the queue and in the system, expected number of vehicles in the queue and in the system waiting for service, expected waiting time of vehicles in the queue and in the system. We also determine the time each vehicle spends in the queue waiting for service and the mean queue length for all the channels in each section. The result shows fair traffic congestion in Calabar – highway by IBB road intersection especially in the morning and evening hours for all the locations.

Keywords: Queuing theory, Traffic congestion, traffic intensity, FIFO, System design

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