Motivated by performance evaluation of a computer communication system, we consider a renewal input, general service time, single-server, and infinite-capacity queuing system with generally distributed time-out threshold. We obtain two moment approximate formulas for the mean system performance measures (including the mean number of customers in the system and the mean response time) by using the diffusion process with the reflecting barrier. Our teletraffic model includes the standard G/G/1 system without timeout scheme as a special case. From performance comparisons between our diffusion approximation and simulation results, we also provide refining form ulas.The G/G/1 queue; time-out scheme; tele-traffic analysis; performance evaluation; diffusion approximation I.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.