In reneging literature, the reneging distribution is often assumed to be deterministic or random. In case of random reneging, it is assumed that the distribution is state independent so that customers have the same reneging rate irrespective of their position in the system. However, one can...

In the design and operation of service systems, it is important to determine an appropriate level of server utilization (the proportion of time each server should be working). In a multi-server queue with unlimited waiting space, the appropriate server utilization typically increases as the...

A new variant of a branching process is introduced, with sufficient conditions for it to persist and to die out. The model is applied to discuss the asymptotic stability of a new type of queuing process.