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MAP/G/1 QUEUES UNDER N-POLICY WITH AND WITHOUT VACATIONS

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References

1986Queueing systems with vacations ? A survey1,183 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
1988A stable recursion for the steady state vector in markov chains of m/g/1 type285 cited
1993Marked point processes as limits of Markovian arrival streams234 cited
1989Control Policies for the MX/G/1 Queueing System145 cited
1989The threshold policy in theM/G/1 queue with server vacations135 cited
1991Vacation and priority systems99 cited

Cited by

2005Factorization and Stochastic Decomposition Properties in Bulk Queues with Generalized Vacations37 cited
1998On the relationship between queue lengths at a random instant and at a departure in the stationary queue with bmap arrivals36 cited
2005Computing queue length distributions in MAP/G/1/N queue under single and multiple vacation32 cited
2008The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process25 cited
2009On the BMAP/G/1 G-queues with second optional service and multiple vacations23 cited
2015A simple analysis of the batch arrival queue with infinite-buffer and Markovian service process using roots method: $$ GI ^{[X]}/C$$ G I [ X ] / C - $$ MSP /1/\infty $$ M S P / 1 / ∞

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21 cited

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

2007Analyzing the finite buffer batch arrival queue under Markovian service process: GI X /MSP/1/N19 cited

2008An MAP/G/1 G-queues with preemptive resume and multiple vacations18 cited

2009Unified analysis of BMAP/G/1 cyclic polling models18 cited

2003A new approach to the queue length and waiting time of BMAP/G/1 queues17 cited