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A UNIFIED QUEUE LENGTH FORMULA FOR BMAP/G/1 QUEUE WITH GENERALIZED VACATIONS

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References

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1990Generalizations of the stochastic decomposition results for single server queues with vacations49 cited
2001DECOMPOSITIONS OF THE QUEUE LENGTH DISTRIBUTIONS IN THE MAP/G/1 QUEUE UNDER MULTIPLE AND SINGLE VACATIONS WITHN-POLICY46 cited

Cited by

2005Factorization and Stochastic Decomposition Properties in Bulk Queues with Generalized Vacations37 cited
2008The infinite-buffer single server queue with a variant of multiple vacation policy and batch Markovian arrival process25 cited
2004Workload and Waiting Time Analyses of MAP/G/1 Queue under D-policy23 cited
2004A simple eigenvalue method for low-order D-BMAP/G/1 queues

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19 cited

2004Performance Analysis of a Finite-Buffer Bulk-Arrival and Bulk-Service Queue with Variable Server Capacity18 cited

2018A threshold policy in a Markov-modulated production system with server vacation: the case of continuous and batch supplies18 cited

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

2004Analysis of Queues with Markovian Service Processes17 cited

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

2004An Invariance Relation and a Unified Method to Derive Stationary Queue-Length Distributions17 cited

2005BMAP/G/1 Queue UnderD-Policy: Queue Length Analysis16 cited

2006Modeling and Performance Analysis of a Finite-Buffer Queue with Batch Arrivals, Batch Services, and Setup Times: The MX/GY/1/K + B Queue with Setup Times15 cited

2013Analysis of MAP/PH1,PH2/1 queue with vacations and optional secondary services15 cited