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The optimal control of an M/G/1 queueing system with server startup and two vacation types

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References

1986Queueing systems with vacations ? A survey1,183 cited
1995Queueing analysis: A foundation of performance evaluation747 cited
1985Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations621 cited
1963Queueing Systems with a Removable Service Station443 cited
1993Queueing analysis: A foundation of performance evaluation, volume 1: Vacation and priority systems, Part 1353 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
1992A poisson input queue under N-policy and with a general start up time94 cited
1987Poisson input queueing system with startup time and under control-operating policy69 cited
1973A Note On Operating Policies For The Queue M/M/1 With Exponential Startups61 cited
1999The effect of different arrival rates on the N-policy of M/G/1 with server setup59 cited

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1993

M/G/1/K queues withN-policy and setup times

59 cited

1997Optimal strategy in N-policy production system with early set-up59 cited

Cited by

2020Equilibrium threshold strategies and social benefits in the fully observable Markovian queues with partial breakdowns and interruptible setup/closedown policy25 cited
2009Optimal (d, c) vacation policy for a finite buffer M/M/c queue with unreliable servers and repairs24 cited
2011The performance measures and randomized optimization for an unreliable server M[x]/G/1 vacation system20 cited
2010Analysis of an Unreliable Server M[X]/G/1 System with a Randomized Vacation Policy and Delayed Repair17 cited
2019OPTIMAL CONTROL POLICIES FOR AN M/M/1 QUEUE WITH A REMOVABLE SERVER AND DYNAMIC SERVICE RATES16 cited