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ISSN (Print): 1872-2121
ISSN (Online): 2212-4047

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Review Article

Multiple-valued Decision Diagrams for Multi-state System Performability Analysis

Author(s): Yuhuan Gong* and Yuchang Mo

Volume 15, Issue 1, 2021

Published on: 23 April, 2020

Page: [37 - 44] Pages: 8

DOI: 10.2174/1872212114999200423114915

Price: $65

Abstract

Background: In a multi-state system, either the entire system or its components will have more than two states. Different kind of multi-state systems have been investigated, such as multistate series-parallel systems, multi-state k-out-of-n systems and multi-state linear consecutive-k-outof- n systems.

Methods: Performability analysis is concerned with the calculation of probability distribution of different system performance levels. In this paper, Multi-valued Decision Diagram (MDD) based approaches are discussed to conduct the performability analysis of multi-state systems.

Results: Examples are provided to illustrate the use of MDD approaches for three types of multistate systems, e.g. multi-state series-parallel systems, multi-state k-out-of-n systems and multi-state linear consecutive-k-out-of-n systems.

Conclusion: The empirical results show that the MDD approaches have lower computational complexity than the traditional methods in model generation and evaluation.

Keywords: Multi-state system, performability analysis, multi-valued decision diagram, series-parallel system, k-out-of-n, linear consecutive-k-out-of-n.

Graphical Abstract

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