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An Optimum Design of MultiStage Alternative Routing Network Systems
Shunji ABE Haruo AKIMARU
Publication
IEICE TRANSACTIONS (19761990)
Vol.E66
No.7
pp.435441 Publication Date: 1983/07/25
Online ISSN:
DOI:
Print ISSN: 00000000 Type of Manuscript: PAPER Category: Switching Systems Keyword:
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Summary:
The optimum design of alternative routing network systems applying the equivalent random theory, which minimizes the system cost under given service criteria, has been proposed for the basic triangular model. Practical networks, however, are more complex than this model; for example, the networks overflowing from an alternative route to a higher level one will be introduced. As a study of such networks, an approximate solution of the twostage overflow model has been proposed, but its accuracy has not yet been made clear. This paper first investigates a general nstage overflow model, and provides the optimum condition minimizing the system cost applying the implicit function theorem. Next, using the above result, the accuracy for the approximate solution of the twostage model is evaluated numerically. Furthermore, a practical design for the twostage system is proposed, which is based on the optimum design charts for the basic triangular model.

