Simulation-based analysis of the retry queueing system M/G/1 with impatient consumers, collisions, and an unreliable server

Abstract

In this study, we analyze an M/G/1 type retrial queueing system with impatient customers, collisions, and an unreliable server. Our study is innovative in that we do a sensitivity analysis using various customer service time distributions on important performance metrics, such as the likelihood of desertion, the average waiting time of a randomly selected, successfully serviced, impatient client, etc. If a consumer does not receive the proper service after a predetermined, random waiting period, they have the option to leave the system in orbit; these customers are referred to as impatient customers. Requests can still reach the system in the event of a server failure; however, they will be sent directly to the orbit. It is intended for the operation, repair, impatience, retry, and service times to be independent of one another. A number of graphical representations show how the studied distributions are compared, as well as the intriguing results produced by our own simulation tool. The obtained findings are contrasted with those of [2] in order to demonstrate the benefits of doing simulations in specific situations and to see how the system characteristics alter when other service time distributions are used.