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Equivalence, reversibility and symmetry properties in fork/join queueing networks with blocking

Abstract : In this paper we study quantitative as well as qualitative properties of Fork/Join queueing networks with blocking (FJQN/B's). Specifically, we prove theorems regarding the equivalence of the behavior of a FJQN/B and that of its duals of a circuit-free FJQN/B, and a strongly connected marked graph. In addition, we obtain general conditions that must be satisfied by the service times to guarantee the existence of a long term throughput and its independence on the initial configuration. We also establish conditions under which the reverse of a FJQN/B has the same throughput as the original network. Last, by combining the equivalence results for duals and the reversibility results, we establish a symmetry property for the throughput of a FJQN/B.
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https://hal.inria.fr/inria-00075292
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Submitted on : Wednesday, May 24, 2006 - 5:53:19 PM
Last modification on : Thursday, February 3, 2022 - 11:10:28 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 10:22:12 PM

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  • HAL Id : inria-00075292, version 1

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Yves Dallery, Zhen Liu, Don Towsley. Equivalence, reversibility and symmetry properties in fork/join queueing networks with blocking. [Research Report] RR-1267, INRIA. 1990. ⟨inria-00075292⟩

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