System Reliability Evaluation of a Stochastic - Flow Network using Spanning Trees

nbsp M  R  Hassan

doi:10.17485/ijst/2016/v9i10/70674

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System Reliability Evaluation of a Stochastic - Flow Network using Spanning Trees

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i10/70674

Year: 2016, Volume: 9, Issue: 10, Pages: 1-6

Original Article

System Reliability Evaluation of a Stochastic - Flow Network using Spanning Trees

M. R. Hassan^*

*Author for Correspondence
M. R. Hassan Department of Mathematics, Faculty of Science, Aswan University, Computer Science Branch, Aswan – 81528, Egypt; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this study, a new method is presented to evaluate the system reliability of a flow network using spanning trees with flow. The proposed method includes two main tasks: 1. Identifying the spanning trees without flow by representing each network link as a binary string of length N (N is the number of nodes) and performing all possible combinations between N − 1 links, and 2. Using the generated spanning trees without flow to find the spanning trees with flow by calculating the total flow carried by the links. The proposed method is tested on different examples from the literature to illustrate its efficiency in generating the spanning trees with flow and calculating the system reliability

Keywords: Stochastic - flow Network, Spanning Tees, System Reliability