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Optimal strategy policy in batch arrival queue with server breakdowns and multiple vacations

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References

1977Fundamentals of Queueing Theory.2,930 cited
1985Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations621 cited
1983A First Course in Bulk Queues529 cited
1963Queueing Systems with a Removable Service Station443 cited
1982Introduction to Queueing Theory.359 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
1989Control Policies for the MX/G/1 Queueing System145 cited
1995Batch arrival queue with N-policy and single vacation136 cited
1989The threshold policy in theM/G/1 queue with server vacations135 cited
1994Analysis of the Mx/G/1 queue by N-policy and multiple vacations134 cited
1998Analysis of a bulk queue with N-policy multiple vacations and setup times92 cited
1995Optimal operation of a markovian queueing system with a removable and non-reliable server52 cited
1999Optimal control of a removable and non-reliable server in an infinite and a finite M/H2/1 queueing system51 cited
1997Optimal control of an M/Ek/1 queueing system with removable service station subject to breakdowns50 cited

Cited by

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2009

Optimal (d, c) vacation policy for a finite buffer M/M/c queue with unreliable servers and repairs

24 cited

2014Cost optimization of a repairable M/G/1 queue with a randomized policy and single vacation22 cited

2010A batch arrival queue under randomised multi-vacation policy with unreliable server and repair20 cited

2006Maximum entropy solutions for batch arrival queue with an un-reliable server and delaying vacations19 cited

2012Cost analysis of a finite capacity queue with server breakdowns and threshold-based recovery policy17 cited

2010Bernoulli schedule vacation queue with batch arrivals and random system breakdowns having general repair time distribution16 cited

2012Analysis of batch arrival queue with randomized vacation policy and an un-reliable server14 cited

2012Optimal repairable MX/G/1 queue with Bernoulli feedback and setup12 cited

2011Optimal strategy analysis of an N-policy two-phase MX/M/1 queueing system with server startup and breakdowns12 cited