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Convexity Properties of the Erlang Loss Formula

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References

1977Fundamentals of Queueing Theory.2,930 cited
1985Fundamentals of queueing theory (2nd ed.).603 cited
1977Queueing Systems, Vol. II: Computer Applications.308 cited
1977A Classified Bibliography of Research on Optimal Design and Control of Queues194 cited
1986Models for Design and Control of Stochastic, Multi-Item Batch Production Systems193 cited
1981Resource Sharing for Efficiency in Traffic Systems178 cited
1985Approximating the Equilibrium Behavior of Multi-Server Loss Systems134 cited
1987Optimal Server Allocation in a System of Multi-Server Stations120 cited
1972Proof of a Convexity Property of the Erlang B Formula92 cited
1983The convexity of the mean queue size of the M/M/c queue with respect to the traffic intensity89 cited

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2016Queueing Models of Case Managers51 cited
2006Sensitivity of Performance in the Erlang-A Queueing Model to Changes in the Model Parameters

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42 cited

1990The convexity of loss rate in an Erland loss system and sojourn in an Erlang delay system with respect to arrival and service rates40 cited

2018Joint planning of service engineers and spare parts35 cited

1998Admission Policies in Loss Queueing Models with Heterogeneous Arrivals31 cited

2009Sharp and simple bounds for the Erlang delay and loss formulae24 cited

2002On the convexity of loss probabilities21 cited

2013A new approximate evaluation method for two-echelon inventory systems with emergency shipments21 cited

1997Allocation of queuing facilities using a minimax criterion20 cited

2008Computational methods for static allocation and real-time redeployment of ambulances20 cited

2004Reducing cycle times in manufacturing and supply chains by input and service rate smoothing16 cited

2011Convexity Results for the Erlang Delay and Loss Formulae When the Server Utilization Is Held Constant14 cited

2015Threshold properties of the M/M/1 queue under T-policy with applications14 cited