Modular Decomposition of Combinational Switching Networks,

Abstract

The problem of designing a combinational network from a library of fixed configuration, fanout-free modules is investigated. The approach developed consists of two phases: (1) A loop-free combinational network is designed without constraints. (2) The design is translated into terms of the module library. Emphasis is placed on the second phase of this process. A procedure is presented which generates all possible different types of modes (gates) that may be formed by a module. Theorems are then developed which state the necessary and sufficient conditions for a set of modes to be capable of replacing a set of gates and a network. The necessary and sufficient conditions are formulated as integer linear programs which can be used to minimize cost function over any fanout-free network. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0733859

Entities

People

  • Douglas Charles Schmidt

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Chemical Reactions
  • Convex Programming
  • Decomposition
  • Dissociation
  • Interdisciplinary Science
  • Linear Programming
  • Mathematical Programming
  • Switching

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Graph Algorithms and Convex Optimization.
  • Software Engineering