Minimization of the Number of Edges in an EVMDD by Variable Grouping for Fast Analysis of Multi-State Systems

Abstract

This paper proposes an algorithm to minimize the number of edges in an edge-valued multi-valued decision diagram (EVMDD) for fast analysis of multi-state systems. We minimize the number of edges by grouping multi-valued variables into larger-valued variables. By grouping multivalued variables, we can also reduce the number of nodes. However, minimization of the number of nodes by grouping variables is not always effective for fast analysis of multi-state systems. On the other hand, minimization of the number of edges is effective. Experimental results show that the proposed algorithm for minimizing the number of edges reduces the number of edges by up to 15% and the number of nodes by up to 47%. This results in a speed-up of the analysis of multi-state systems by about three times.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 2013
Accession Number
ADA590017

Entities

People

  • Jon T. Butler
  • Shinobu Nagayama
  • Tsutomu Sasao

Organizations

  • Naval Postgraduate School

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  • Energy and Power Technologies

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  • Algorithms
  • Communication Systems
  • Computations
  • Computer Science
  • Computers
  • Control Systems
  • Energy Consumption
  • Engineering
  • Flight Control Systems
  • Information Operations
  • Mathematics
  • Optimization
  • Power Distribution
  • Probability
  • Reliability
  • Scientific Research
  • Terminals

Fields of Study

  • Computer science
  • Engineering

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  • Computer Programming and Software Development.
  • Operations Research
  • Regression Analysis.