Author : Y. Dallery
Publisher :
ISBN 13 :
Total Pages : 35 pages
Book Rating : 4.:/5 (266 download)
Book Synopsis Equivalence, Reversibility and Symmetry Properties in Fork/Join Queueing Networks with Blocking by : Y. Dallery
Download or read book Equivalence, Reversibility and Symmetry Properties in Fork/Join Queueing Networks with Blocking written by Y. Dallery and published by . This book was released on 1990 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."