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Control of arrivals to a stochastic input–output system

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References

1969The Regulation of Queue Size by Levying Tolls1,227 cited
1975Applying a New Device in the Optimization of Exponential Queuing Systems713 cited
1965Optimal Policy in a Dynamic, Single Product, Nonstationary Inventory Model with Several Demand Classes268 cited
1969A Queueing Reward System with Several Customer Classes189 cited
1971On Optimal Balking Rules and Toll Charges in the GI/M/1 Queuing Process185 cited
1972Individual and Social Optimization in a Multiserver Queue with a General Cost-Benefit Structure157 cited
1977Individual versus Social Optimization in Exponential Congestion Systems139 cited
1972Customers' Optimal Joining Rules for the GI/M/s Queue108 cited
1970On the Optimality of Single-Server Queuing Systems100 cited
1978Socially and Individually Optimal Control of Arrivals to a GI/M/1 Queue98 cited
1974Optimal Control of Queueing Systems76 cited

Cited by

1985Control of arrivals to two queues in series71 cited
2002Applications of Markov Decision Processes in Communication Networks70 cited
2009Equilibrium threshold strategies in observable queueing systems with setup/closedown times62 cited
2012

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Equilibrium threshold strategies in observable queueing systems under single vacation policy

52 cited

1988Scheduling, Routing, and Flow Control in Stochastic Networks46 cited

2012Equilibrium balking behavior in the Geo/Geo/1 queueing system with multiple vacations44 cited

1997Access control to two multiserver loss queues in series39 cited

1995Optimality of monotonic policies for two-action Markovian decision processes, with applications to control of queues with delayed information39 cited

1993Optimal Expulsion Control—A Dual Approach to Admission Control of an Ordered-Entry System37 cited

1984Optimal control of arrivals to multiserver queues in a random environment36 cited

1992Optimal control of admission to a multiserver queue with two arrival streams32 cited

2018Equilibrium balking strategies in Markovian queues with a single working vacation and vacation interruption31 cited

2006Explicit solutions for the steady state distributions in M/PH/1 queues with workload dependent balking29 cited

1983Computing Optimal Control Limits for GI/M/S Queuing Systems with Controlled Arrivals25 cited

2010Admission control and pricing in a queue with batch arrivals24 cited

1999Fuzzy control of arrivals to tandem queues with two stations24 cited