Title: Queuing systems in the cafeterias at the University of Dodoma, Tanzania

Authors: Gadde Srinivasa Rao; Evodia Andreas Mnyanga

Addresses: Department of Mathematics and Statistics, University of Dodoma, Tanzania ' Department of Mathematics and Statistics, University of Dodoma, Tanzania

Abstract: Queuing is a common practice to all public service centres where the demand surpasses the supply. The purpose of this study is the performance of queuing systems in the cafeterias at the University of Dodoma, Dodoma Tanzania. Data were recorded in a period of seven days to find the distribution pattern of the arrival and the service time through fitting them in poison and exponential distribution respectively, to determine the average waiting time in a queue by using the M/M/1 mathematical model, and to analyse the waiting time in a system by using statistical quality control chart. The results of the findings showed that the arrival time and service time for all queues in all sessions follows poison and exponential distribution respectively. Also the findings showed that the expected waiting time was high during breakfast, whereas during lunch and dinner the expected waiting time was low compared to breakfast.

Keywords: queue; restaurant; waiting lines; M/M/1 mathematical model; arrival time and service time; Tanzania.

DOI: 10.1504/IJMOR.2022.123128

International Journal of Mathematics in Operational Research, 2022 Vol.22 No.1, pp.127 - 141

Received: 13 Dec 2020
Accepted: 27 Apr 2021
Published online: 30 May 2022 *

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