Analysis Methods of Multi-State Systems Partially Having Dependent Components Using Multiple-Valued Decision Diagrams

Abstract

In a large system, such as a water, gas, or electrical distribution system, degraded performance due to failures of components can be modeled as a set of discrete states interconnected by edges with weights that represent conditional probabilities. To establish such a model we compute the conditional probabilities with multi-valued decision diagrams (MDDs). Since a typical decision diagram is large, the computation time is also large. In this paper, we propose an edge-valued MDD (EVMDD) based method to avoid unnecessary path traversals. The proposed method is a hybrid method of a path traversal method and a bottomup method that visits each node only once. By effectively combining both methods, we achieve a speed-up of the analysis by about 2.3 times for large systems compared to an existing method.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2014
Accession Number
ADA618847

Entities

People

  • Jon T. Butler
  • Mitchell A. Thornton
  • Shinobu Nagayama
  • Theodore W. Manikas
  • Tsutomu Sasao

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Biomedical
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Bayesian Networks
  • Communication Systems
  • Computations
  • Computer Science
  • Computers
  • Control Systems
  • Energy Consumption
  • Engineering
  • Flight Control Systems
  • Heuristic Methods
  • Information Operations
  • Mathematical Analysis
  • Mathematics
  • Power Distribution
  • Probability
  • Terminals

Fields of Study

  • Computer science
  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Computer Programming and Software Development.
  • Statistical inference.