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Regenerative processes in the theory of queues, with applications to the alternating-priority queue

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References

1961A Proof for the Queuing Formula: L = λ W2,777 cited
1961A PROOF OF THE QUEUING FORMULA259 cited
1970Queues Served in Cyclic Order: Waiting Times211 cited
1955Investigation of waiting time problems by reduction to Markov processes207 cited
1956On the Characteristics of the General Queueing Process, with Applications to Random Walk195 cited
1969Queues Served in Cyclic Order137 cited
1971On the relation between customer and time averages in queues128 cited

Cited by

1981Approximations for the steady-state probabilities in theM/G/cqueue99 cited
1983Diffusion Approximation for an M / G / m Queue90 cited
1980The Relation between Customer and Time Averages in Queues87 cited
1977The Markovian Queue with Bounded Waiting time86 cited
1997Analysis of an M/G/1 queue with constant repeated attempts and server vacations85 cited
1977Cost Models for Stochastic Clearing Systems73 cited
1980A Queueing System in Which Customers Require a Random Number of Servers73 cited
1994Rate conservation laws: A survey73 cited
1972

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Embedded renewal processes in theGI/G/squeue

67 cited

1974Stochastic clearing systems63 cited

1981Production/inventory systems with a stochastic production rate under a continuous review policy56 cited

1983A Light-Traffic Theorem for Multi-Server Queues55 cited

1972L = λW: A Discounted Analogue and a New Proof55 cited

1989Sample-path analysis of processes with imbedded point processes46 cited

2008Cross-training workers in Dual Resource Constrained systems with heterogeneous processing times39 cited

1982On Markov Jump Processes Imbedded at Jump Epochs and Their Queueing-Theoretic Applications39 cited