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Steady state analysis of a bulk queue with multiple vacations, setup times with N-policy and closedown times

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References

1986Queueing systems with vacations ? A survey1,183 cited
1993Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1353 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

Cited by

2015Analysis of a finite-buffer bulk-service queue under Markovian arrival process with batch-size-dependent service69 cited
2006Operating characteristic analysis on the M[x]/G/1 system with a variant vacation policy and balking63 cited
2009Equilibrium threshold strategies in observable queueing systems with setup/closedown times62 cited
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
2009Batch arrival queue with N-policy and at most J vacations40 cited
2012Tail probabilities of the delay in a batch-service queueing model with batch-size dependent service times and a timer mechanism38 cited
2018Impact of customers’ impatience on an M/M/1 queueing system subject to differentiated vacations with a waiting server38 cited

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2015

An ‘(s, S)’ inventory in a queueing system with batch service facility

33 cited

2009An M/G/1 retrial G -queue with preemptive resume and feedback under N -policy subject to the server breakdowns and repairs31 cited

2011Analysis of threshold-based batch-service queueing systems with batch arrivals and general service times31 cited

2007Maximum entropy approach for batch-arrival queue under N policy with an un-reliable server and single vacation29 cited

2020Analysis of a Queueing Model with Batch Markovian Arrival Process and General Distribution for Group Clearance26 cited

2007An M[x]/G/1 system with startup server and J additional options for service26 cited

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

2012A study on the behaviour of the server breakdown without interruption in a Mx/G(a, b)/1 queueing system with multiple vacations and closedown time25 cited