International Research Journal of Education and Technology

The formation of waiting line is a prevalence scenario that happens whenever the immediate demand for a service surpasses the current capacity to provide that service. This discrepancy may be temporal, but a queue accumulates during the period. Formation of a line causes an increase of customers waiting time, over utilization of the available servers and loss of customer’s goodwill. Application of Queuing theory determines the measure of performance of the service facility which can be used to design the appropriate service facility. Data for this study was collected at Grocery Bazaar (GB) supermarket, Akesan Lasu Igando, Lagos State. This paper adopted the Single queue and Multi-channel models for the study of the existing structure of the Grocery Bazaar (GB) supermarket with three servers/machines. The data set was analyzed using R-studio software and the following estimates were obtained for Single Queuing Model : Arrival Rate, Service Rate, Traffic Intensity, Average Time in the System, Average Time each Customer wait in the queue, Average Number of Customers waiting, Number of Customers in the System, Expected Average Total Time and Expected Number to be Served. Also, under the Multi-Channel Queuing System/Model , this paper examined the Service Rate, Traffic Intensity, Probability of having zero Customer in the System, Average expected Queue Length, Average Number of Customers in the System, Expected Total Time, Waiting Time, Expected Number of Customers in the Queue, Probability of Queuing on the Arrival and Probability of not Queuing on the Arrival. The data collected was tested to show if it follows a Poisson and exponential distributions of arrival and service rate using chi square goodness of fit. The derived results revealed that the acquired data were statistically reliable to a great extent and suggestions were made at the end of the study on how to improve the process of queue /queuing problem in the Grocery Bazaar (GB) supermarket.

Keywords: Operations research, Queuing Theory, Arrival Process, Waiting Position, GB Supermarket.