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A finite‐capacity queue with exhaustive vacation/close‐down/setup times and Markovian arrival processes

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References

1986A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance1,247 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
1990A single-server queue with server vacations and a class of non-renewal arrival processes535 cited

Cited by

2013Analysis of a versatile batch-service queueing model with correlation in the arrival process57 cited
2006Batch arrival queues under vacation policies with server breakdowns and startup/closedown times57 cited
2001DECOMPOSITIONS OF THE QUEUE LENGTH DISTRIBUTIONS IN THE MAP/G/1 QUEUE UNDER MULTIPLE AND SINGLE VACATIONS WITHN-POLICY46 cited
2005On M/G/1 system under NT policies with breakdowns, startup and closedown44 cited
2014A finite-buffer queue with a single vacation policy: An analytical study with evolutionary positioning39 cited
2013Optimal wake-up mechanism for single base station with sleep mode34 cited
2005Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation32 cited
2014On Applying Evolutionary Computation Methods to Optimization of Vacation Cycle Costs in Finite-Buffer Queue29 cited

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2000

SUPPLEMENTARY VARIABLE TECHNIQUE IN STOCHASTIC MODELS

28 cited

2013Genetic Cost Optimization of the GI/M/1/N Finite-Buffer Queue with a Single Vacation Policy26 cited

2020Equilibrium threshold strategies and social benefits in the fully observable Markovian queues with partial breakdowns and interruptible setup/closedown policy25 cited

2013On Applying Cuckoo Search Algorithm to Positioning GI/M/1/N Finite-Buffer Queue with a Single Vacation Policy23 cited

2015Transient workload distribution in the $$M/G/1$$ M / G / 1 finite-buffer queue with single and multiple vacations23 cited

2007Two thresholds of a batch arrival queueing system under modified T vacation policy with startup and closedown22 cited

2008Analysis of a Geo/G/1 Queueing System with a GeneralizedN-Policy and Setup-Closedown Times22 cited

2005The queue length distributions in the finite buffer bulk-service MAP/G/1 queue with multiple vacations20 cited