Performance modeling of elastic traffic in overload
Proceedings of the 2001 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
On the stability of retrial queues
Queueing Systems: Theory and Applications
Analysis on queueing systems with synchronous vacations of partial servers
Performance Evaluation
Queueing Systems: Theory and Applications
Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers
Queueing Systems: Theory and Applications
Commissioned Paper: Telephone Call Centers: Tutorial, Review, and Research Prospects
Manufacturing & Service Operations Management
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Impact of paging channel overloads or attacks on a cellular network
WiSe '06 Proceedings of the 5th ACM workshop on Wireless security
Queues with system disasters and impatient customers when system is down
Queueing Systems: Theory and Applications
Heavy-traffic limits for many-server queues with service interruptions
Queueing Systems: Theory and Applications
Infinite-server queues with system's additional tasks and impatient customers
Probability in the Engineering and Informational Sciences
q-series in markov chains with binomial transitions: Studying a queue with synchronization
Probability in the Engineering and Informational Sciences
Synchronized reneging in queueing systems with vacations
Queueing Systems: Theory and Applications
Service Interruptions in Large-Scale Service Systems
Management Science
Transient analysis of a queue with system disasters and customer impatience
Queueing Systems: Theory and Applications
Analysis of a dynamic assignment of impatient customers to parallel queues
Queueing Systems: Theory and Applications
The M/M/1 queue with synchronized abandonments
Queueing Systems: Theory and Applications
Analysis of a queueing system with impatient customers and working vacations
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
Queues in tandem with customer deadlines and retrials
Queueing Systems: Theory and Applications
Impatient customers in an M/M/1 queue with single and multiple working vacations
Computers and Industrial Engineering
Measurement and modeling of paging channel overloads on a cellular network
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Many models for customers impatience in queueing systems have been studied in the past; the source of impatience has always been taken to be either a long wait already experienced at a queue, or a long wait anticipated by a customer upon arrival. In this paper we consider systems with servers vacations where customers' impatience is due to an absentee of servers upon arrival. Such a model, representing frequent behavior by waiting customers in service systems, has never been treated before in the literature. We present a comprehensive analysis of the single-server, M/M/1 andM/G/1 queues, as well as of the multi-server M/M/c queue, for both the multiple and the single-vacation cases, and obtain various closed-form results. In particular, we show that the proportion of customer abandonments under the single-vacation regime is smaller than that under the multiple-vacation discipline.