Mountain Top University Library

The study examined Queuing Theory and Distribution of Service Time in the Mountain Top University’s Cafeteria. Specifically, it evaluated the effect of number of students in the queue on the service rate, it examined the effect of traffic intensity on service rate,it determined the probability of no queue on arrival on service rate, it accessed the effect of multiple queue on service rate,determine if the fundamental principle of queuing theory are followed in MTU cafeteria.Primary data was used in the study were collated using questionnaire to get the necessary information needed. The data was analysed using descriptive and inferential analysis. Result from the analysis shows that: No statistically significant variations in service time across all stands, There is a significant positive relationship between traffic intensity and service time with a significant level of p=0.05, Multiple queue has no significant effect on service time with significant level of 0.150(p>0.05), There is significant weak correlation between number of student on the queue and service time with significant level of 0.06(p<0.05), Lastly that there is no significant relationship between adherence to fundamental principle of queuing theory and service time in MTU cafeteria with a significant level of 0.628 (p>0.05). It was recommended that use of modern queuing system technology to eliminate favoritism and improve service time.The study conclude that there is delayed service time in the MTU cafeteria with average waiting time of 30.33(+ or – 11.47) minutes which varies with the period of the day.