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Some Inequalities for the Queue GI/G/1

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References

1953Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain1,082 cited
1962The stability of a queue with non-independent inter-arrival and service times1,045 cited
1952The theory of queues with a single server876 cited
1951Some Problems in the Theory of Queues653 cited
1962On Queues in Heavy Traffic342 cited

Cited by

2012Asymptotically tight steady-state queue length bounds implied by drift conditions185 cited
1993Chapter 5 Performance evaluation of production networks134 cited
1964A martingale inequality in the theory of queues114 cited
1966On the algebra of queues112 cited
1971Some Inequalities for Parallel-Server Queues96 cited
2017Asymptotic Optimality of Tailored Base-Surge Policies in Dual-Sourcing Inventory Systems95 cited
2013Process Flexibility: A Distribution-Free Bound on the Performance of K-Chain89 cited
1979Heavy traffic theory for queues with several servers. II88 cited
1964Some Recent Work and Further Problems in the Theory of Queues86 cited
1984The caudal characteristic curve of queues86 cited

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1980On the approximations to the single server queue84 cited

1986The caudal characteristic curve of queues81 cited

2012A Little Flexibility Is All You Need: On the Asymptotic Value of Flexible Capacity in Parallel Queuing Systems76 cited

1974Heavy traffic theory for queues with several servers. I76 cited

2016Optimality Gap of Constant-Order Policies Decays Exponentially in the Lead Time for Lost Sales Models70 cited

2017Flexible Queueing Architectures61 cited