International Journal of Research in IT and Management
Year : 2014, Volume : 4, Issue : 1
First page : ( 12) Last page : ( 31)
Online ISSN : 2231-4334.

Modeling queues in transport using analytical models. A case of a mining company in Zimbabwe

Mawonike Romeo, Makoni Tendai, Chipumuro Musara

Department of Mathematics and Computer Science, Great Zimbabwe University, Zimbabwe

Online published on 5 June, 2014.

Abstract

In this paper multi-server models and some generalizations are considered. With the exception of one model, arrival time and departure time are assumed to be Markovian. Arriving units and departing units are according to the birth-and-death processes. Solutions for the models are obtained under steady state conditions. Waiting times, queue length and the number of customers in the system at any given time are discussed using analytical queuing models. Finally, sensitivity analysis is performed to reach the best optimal solution to the current problem faced by both customers and the company. The results show that two options could be pursued to reduced waiting lines and costs by customers and the company. The first one is to build more parking spaces for waiting trucks and the second option is to increase the service rate while maintaining the number of servers available.

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Keywords

Waiting time, arrival time, multi-server models, birth and death processes.

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