Global Journal of Researches in Engineering, J: General Engineering, Volume 22 Issue 1

on first Monday of March, 2020 from 7am to 7pm. Data collected were analysed manually using some queue model formulae (see table 1) to determine the queue parameters such as the Traffic Intensity, Arrival rate and Service rate as well as other performance measures (Number of Trucks in the system, waiting time and other related probabilities associated with trucks behaviours at the dumpsites). The queue parameters are as listed in item 2.1 for clarity and the notations are frequently reflected in the analysis. Data used in determining the performance of the queue system were obtained through direct monitoring of both arrival rate and service rate. The time a truck joined and exited the system was noted using designed templates, pens and watches. The results of analysis were validated through the use of chi- square (X2) statistics and variance methods. The outcome of the model analysis was presented using tables and graphs. Some Queue Performance Notations (Parameters) : Average Arrival Rate : Average Service Rate R: Traffic Intensity Ls: Average Number of Trucks in the System Ln: Average Number of Trucks in the Queue (when there is no queue or length of queue). Lq: Average Number of Trucks in the Queue (when there is a queue) Wq: Average Waiting Time in the Queue Ws: Average Waiting Time in the System Pq: Probability that a Truck will queue on arrival Pa: Probability that a Truck will not queue on arrival Pn: Probability of having exactly ‘n’ number of Truck in the system Pm: Probability of having n or more Trucks in the system P o : Probability of having no Truck at all in the system Table 1: Some already established Simple Queue model formulae in Literature Improving Trucks Management at Dumpsites through the Application of Queue Theory- The Case of Solous III Dumpsite, Igando, Lagos State lobal Journal of Researches in Engineering ( ) Volume XxXII Issue I Version I J G 33 Year 2022 © 2022 Global Journals