Analysis of Minimization Algorithms for Multiple-Valued Programmable Logic Arrays

Abstract

We compare the performance of three heuristic algorithms [3,6,13] for the minimization of sum-of-products expressions realized by the newly developed multiple-valued programmable logic arrays [9]. Heuristic methods are important because exact minimization is extremely time consuming. We compare the heuristics to the exact solution, showing that heuristic methods are reasonably close to minimal. We use as a basis of comparison the average number of product terms over a set of randomly generated functions. All three heuristics produce nearly the same average number of product terms. Although the averages are close, there is surprisingly little overlap among the set of functions where the best realization is achieved. Thus, there is a benefit to applying different heuristics and then choosing the best realization.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA605376

Entities

People

  • Jon T. Butler
  • Parthasarathy Tirumalai

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Charge Coupled Devices
  • Computations
  • Computers
  • Coverings
  • Digital Images
  • Governments
  • Heuristic Methods
  • Information Operations
  • Intervals
  • Mathematics
  • New York
  • Operating Systems
  • Random Number Generators
  • Trees (Data Structures)

Readers

  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.