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Stationary state probabilities at arrival instants for closed queueing networks with multiple types of customers

6 references·16 citing·35 second hop

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References

1975Open, Closed, and Mixed Networks of Queues with Different Classes of Customers2,411 cited
1980Mean-Value Analysis of Closed Multichain Queuing Networks1,154 cited
1977Referencing as Persuasion690 cited
1976Networks of queues264 cited
1981The Distribution of Queuing Network States at Input and Output Instants262 cited
1975Networks of queues with customers of different types231 cited

Cited by

1985Queueing Networks: A Survey of Their Random Processes161 cited
1981Mean-value analysis and convolution method for queue-dependent servers in closed queueing networks152 cited
1990On Arrivals That See Time Averages107 cited
2003Fluid Flow Models and Queues—A Connection by Stochastic Coupling90 cited
1983Sojourn times in closed queueing networks79 cited
1986RECAL—a new efficient algorithm for the exact analysis of multiple-chain closed queuing networks78 cited
1984The MVA priority approximation74 cited
2003Queueing networks with blocking68 cited
1999Mean value technique for closed fork-join networks57 cited
1980

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Measuring and Calculating Queue Length Distributions

49 cited

2000A multilayer client-server queueing network model with synchronous and asynchronous messages45 cited

1984Mean value analysis of mixed, multiple class BCMP networks with load dependent service stations44 cited

1990Laplace transform inversion and passage-time distributions in Markov processes44 cited

1995N parallel queueing systems with server breakdown and repair43 cited

1983Asymptotic expansions of moments of the waiting time in closed and open processor-sharing systems with multiple job classes43 cited

2000PERFORMANCE ANALYSIS OF AN ASSEMBLY STATION WITH INPUT FROM MULTIPLE FABRICATION LINES42 cited