In order to compute the average total delays or average waiting time of arrival which includes queue and service time with utilization values of less than 1, this paper aims at comparing M/M/1 and M/D/1 queue. It was observed that waiting times and average queue sizes differ in these two models. It has also been displayed that in the limiting case, the obtained results of this paper are in accordance with the corresponding continuous time counterparts by Medhi [1].
Queuing delay, queuing networks, random service time, deterministic (constant) service time