Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
M/M/1 queues with working vacations (M/M/1/WV)
Performance Evaluation
Discrete-time GI/Geo/1 queue with multiple working vacations
Queueing Systems: Theory and Applications
A note on workload control for an under-utilized server of M/G/1 system
Computers and Industrial Engineering
Analysis of the M/G/1 queue with exponentially working vacations--a matrix analytic approach
Queueing Systems: Theory and Applications
The GI/M/1 queue and the GI/Geo/1 queue both with single working vacation
Performance Evaluation
Computers and Industrial Engineering
Optimal management of the machine repair problem with working vacation: Newton's method
Journal of Computational and Applied Mathematics
Queueing analysis of WDM-based access networks with reconfiguration delay
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Journal of Computational and Applied Mathematics
Performance analysis of M/G/1 queue with working vacations and vacation interruption
Journal of Computational and Applied Mathematics
Performance analysis for the Geom/G/1 queue with single working vacation
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
A batch arrival queue with exponential working vacations
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Steady-state analysis of a discrete-time batch arrival queue with working vacations
Performance Evaluation
Journal of Computational and Applied Mathematics
Computers & Mathematics with Applications
Analysis of a queueing system with impatient customers and working vacations
Proceedings of the 6th International Conference on Queueing Theory and Network Applications
M/G/1 queue with exponential working vacation and gated service
ASMTA'11 Proceedings of the 18th international conference on Analytical and stochastic modeling techniques and applications
Analysis of discrete-time batch service renewal input queue with multiple working vacations
Computers and Industrial Engineering
Steady state analysis of the GI/M/1/N queue with a variant of multiple working vacations
Computers and Industrial Engineering
Stochastic decompositions in the M/M/1 queue with working vacations
Operations Research Letters
Analysis of periodically gated vacation model and its application to IEEE 802.16 network
ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
A queue with working breakdowns
Computers and Industrial Engineering
The GI/Geo/1 queue with Bernoulli-schedule-controlled vacation and vacation interruption
Computers and Operations Research
Impatient customers in an M/M/1 queue with single and multiple working vacations
Computers and Industrial Engineering
Computers and Industrial Engineering
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We study an M/G/1 queue with multiple vacations and exhaustive service discipline such that the server works with different service times rather than completely stopping service during a vacation. Both service times in a vacation and in a service period are generally distributed random variables. It is assumed that the Laplace-Stieltjes transform (LST) for the distribution of the vacation length is a rational function. We derive the distributions for the queue size and the system time for an arbitrary customer in the steady state. Several special cases, namely, exponentially distributed vacation lengths and/or exponentially distributed service times in a vacation, are considered. Finally some numerical examples are presented.