Analysis of Traffic Flow at Signalized Junctions in Uyo Metropolis

Traffic flows at three signalized junctions in Uyo metropolis were considered and the data used for the analysis were collected during peak periods (morning and evening) for three consecutive days. The performance measures of congestion such as the average queue length, arrival and saturation flow rates as well as the average waiting time of vehicle per cycle have been calculated for a better understanding of the traffic situation in the city by motorists and proper vehicular logistics. With the random nature in which vehicles arrive and depart, we assumed a Poisson arrival process and deterministic (constant) service time with the service rate $\mu=1/s$ which incorporate both the stochastic and deterministic components of delay estimation. Using the concept of the Canadian delay model in Hellinga and Liping (2001), we obtained the overall delay given an observation interval. An estimate of the mean overall delay which is the average time a vehicle could be delayed at any signalized junction in Uyo metropolis is approximately 63s

ANALYSIS OF MULTI-SERVER SINGLE QUEUE

Queuing properties such as expected total service time and its variance and some performance measures like the expected number of phases in the system, expected number of phases in the queue, expected number of customers in the queue, expected waiting time in the queue and in the system as well as the number of customers in the system have been derived for an  M/Ek/s: ( /FCFS) queuing model with k identified stages in series, each with average service time of . Also, numerical illustrations have also been used to illustrate the results