For the M/M/1+M model at law-of-large-numbers scale, long-run reneging count per unit time does not depend on individual (i.e., customer) rate. This paradoxical statement has a simple proof. Less obvious is large deviations analogue of this fact, stated as follows: decay rate probability that atypically or small In paper, sample path principle for proved and function computed. Next, asymptotics...

 Customer impatience (reneging) has negative impact on the performance of queueing systems. If we talk from business point of view, firms lose their potential customers due to customer impatience which affects their business as a whole. It is envisaged that if the firms employ certain customer retention strategies then there are chances that a certain fraction of impatient customers can be ret...

This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...

The literature on queueing with reneging is reviewed. Only random (Poisson) arrivals and unlimited capacity queues are considered, although some of the references also contain results for other arrival distributions or finite capacity queues. The paper focuses on the probability of service under steady state conditions; results for other metrics such as the expected waiting time may be found in...

In this paper, we analyze a call center with impatient customers. We study how informing customers about their anticipated delays affects performance. Customers react by balking upon hearing the delay announcement, and may subsequently renege, particularly if the realized waiting time exceeds the delay that has originally been announced to them. The balking and reneging from such a system are a...

We consider a single server, finite capacity Markovian feedback queue with reneging and retention of reneged customers in which the interarrival and service times follow exponential distribution. The reneging times are assumed to be exponentially distributed. Feedback in queueing literature represents customer dissatisfaction because of inappropriate quality of service. In case of feedback, aft...

This article reports the findings of a longitudinal study of temporary virtual teams and explores the role of behavior control on trust decline. We conducted an experiment involving 51 temporary virtual teams. Half of the teams were required to comply with behavior control mechanisms traditionally used in colocated teams. Their counterparts were allowed to self-direct. Cynthia Beath was the acc...

This work considers a many-server queueing system in which impatient customers with i.i.d., generally distributed service times and i.i.d., generally distributed patience times enter service in the order of arrival and abandon the queue if the time before possible entry into service exceeds the patience time. The dynamics of the system is represented in terms of a pair of measure-valued process...