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Dynamic Performance Evaluation of Communication/Computer Systems with Highly Reliable Components

Published online by Cambridge University Press:  27 July 2009

Peter Kubat ,
Ushio Sumita  and
Yasushi Masuda
Peter Kubat
Affiliation:
GTE Laboratories Incorporated 40 Sylvan Road, Waltham, Massachusetts 02254
Ushio Sumita
Affiliation:
Graduate School of Business Administration University of Rochester, New York 14627
Yasushi Masuda
Affiliation:
Graduate School of Management University of California, Riverside, California 92521
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Abstract

System components of communication/computer networks are quite reliable in that their average uptimes are much larger than the average repair/replacement time of a failed unit. By taking this observation into account, a semiMarkov model is developed with a simple regenerative structure, thereby providing strong analytical and computational tractability. Expressions of a variety of dynamic performability measures, such as the cumulative system processing capacity and the task completion time, are explicitly derived. Computational procedures for evaluating such time-dependent performability measures are developed based on these theoretical results combined with the Laguerre transform method. The power and the efficiency of the computational procedures are demonstrated through a numerical example.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 2 , April 1988 , pp. 185 - 213
Copyright
Copyright © Cambridge University Press 1988

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