Fundamentals of queueing theory (2nd ed.).
Fundamentals of queueing theory (2nd ed.).
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Exponential two server queue with N-policy and general vacations
Queueing Systems: Theory and Applications
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers
Queueing Systems: Theory and Applications
Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates
Queueing Systems: Theory and Applications
On the Three Threshold Policy in the Multi-Server Queueing System with Vacations
Queueing Systems: Theory and Applications
Analysis of customers' impatience in queues with server vacations
Queueing Systems: Theory and Applications
Analysis of multi-server queue with a single vacation (e, d)-policy
Performance Evaluation
ATVA '08 Proceedings of the 6th International Symposium on Automated Technology for Verification and Analysis
Heavy-traffic limits for many-server queues with service interruptions
Queueing Systems: Theory and Applications
A Performance Model for Maintenance Tasks in an Environment of Virtualized Servers
NETWORKING '09 Proceedings of the 8th International IFIP-TC 6 Networking Conference
A heterogeneous two-server network system with balking and a Bernoulli vacation schedule
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Numerical investigation of finite-source multiserver systems with different vacation policies
Journal of Computational and Applied Mathematics
An algorithmic analysis of multi-server vacation model with service interruptions
Computers and Industrial Engineering
Multi-server machine repair model with standbys and synchronous multiple vacation
Computers and Industrial Engineering
Stochastic decompositions in the M/M/1 queue with working vacations
Operations Research Letters
Exact analysis of the M/M/k/setup class of Markov chains via recursive renewal reward
Proceedings of the ACM SIGMETRICS/international conference on Measurement and modeling of computer systems
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We study an M/M/c queue with server vacations. In this queueing system, d (≤ c) of c servers take synchronous vacations when these d servers become idle at a service completion instant. This type of queueing model captures the major characteristics of a stochastic service system which processes both random arriving jobs and constantly available jobs. In this paper, the multi-server vacation queueing system has been analyzed as a quasi-birth and death process. Using matrix geometric method, we obtain the stationary distributions of queue length and waiting time and demonstrate the conditional stochastic decomposition property of the queue length and waiting time in this system.