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

[ Vol. 15 , Issue. 1 ]


Yuhuan Gong* and Yuchang Mo   Pages 37 - 44 ( 8 )


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.


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


School of Marxism, Huaqiao University, Quanzhou, Fujian Province University Key Laboratory of Computational Science, School of Mathematical Sciences, Huaqiao University, Quanzhou

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