Cycle times in single server cyclic Jackson networks

Authors:
Michael A. Zazanis
Affiliations:
Department of Statistics, Athens University of Economics and Business, Patision 76, Athens 104 34, Greece
Venue:
Operations Research Letters
Year:
2004

Citing 4
Cited 1

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The Time for a Round Trip in a Cycle of Exponential Queues

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The Product Form for Sojourn Time Distributions in Cyclic Exponential Queues

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Formulas and representations for cyclic Markovian networks via Palm calculus

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The Time-To-Empty For Tandem Jackson Networks

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Abstract

Using the arrival theorem together with elementary facts regarding integrated tail distributions and length-biased sampling we obtain closed form expressions for the inter-output time and the cycle time distribution in cyclic, single-class Jackson networks. Corresponding expressions for the normalization constant and the throughput are also obtained.