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Vacation models in discrete time

16 references·16 citing·27 second hopsampled

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References

1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
1986Queueing systems with vacations ? A survey1,183 cited
1991New results on the single server queue with a batch markovian arrival process1,085 cited
1995Queueing analysis: A foundation of performance evaluation747 cited
1985Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations621 cited
1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited
1962A Waiting Line with Interrupted Service, Including Priorities445 cited
1975Utilization of Idle Time in an M / G /1 Queueing System438 cited
1993Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1353 cited
1958Queuing with Preemptive Priorities or with Breakdown265 cited
1995Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes259 cited
1986Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules227 cited
1968A Many-Server Queue with Service Interruptions211 cited
1991brief review: Queueing Analysis: A Foundation of Performance Evaluation. Volume 1: Vacation and Priority Systems, Part 1 by H. Takagi (North-Holland, 1991)156 cited

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1976An M/M/s Queue With Servers’ Vacations143 cited

1994Analysis of the Mx/G/1 queue by N-policy and multiple vacations134 cited

Cited by

2007Discrete-time GI/Geo/1 queue with multiple working vacations59 cited
2007The discrete time Geom/Geom/1 queue with multiple working vacations49 cited
2006Discrete-time Geo X / G ( a , b ) / 1 / N queues with single and multiple vacations36 cited
2008Analysis of the Discrete Time Geo/Geo/1 Queue with Single Working Vacation36 cited
2006Analyzing discrete-time D-BMAP/G/1/N queue with single and multiple vacations31 cited
2006QoS and energy trade off in distributed energy-limited mesh/relay networks: a queuing analysis29 cited
2012Analysis of the GI/Geo/1 queue with N -policy27 cited
2007Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations25 cited
2011Level‐Dependent Quasi‐Birth‐and‐Death Processes24 cited
2007Distributed and Energy-Aware MAC for Differentiated Services Wireless Packet Networks: A General Queuing Analytical Framework22 cited
2006Discrete-time single-server finite-buffer queues under discrete Markovian arrival process with vacations19 cited
2010Analysis of a discrete-time GI/Geo/1/N queue with multiple working vacations18 cited
2006Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations18 cited
2012Stationary analysis of a discrete-time GI/D-MSP/1 queue with multiple vacations17 cited
2011Analysis of discrete-time batch service renewal input queue with multiple working vacations16 cited
2009Matrix Analytic Method and Working Vacation Queues- A Survey15 cited