UTILIZATION OF TERNARY LOGIC IN CALCULATING NO-FAILURE PROBABILITY OF RESERVED SYSTEMS WITH TWO FORMS OF FAILURES PRESENT,

Abstract

As some circuit elements (resistors, capacitors, diodes) may have three states - operable, short-circuit, and break - a ternary logic is well suited to describe their reliability. Reliability probabilistic formulas in ternary notations are written. Five examples of series-paralle circuits illustrate the use of the formulas. It is found that: the reliability of a system, in which every element is provided with a reserve element, can be calculated by means of a binary logic if short-circuits and breaks are taken into account separately; the ternary system permits calculating the reliability of the structure as a whole; the binary logic is inapplicable to some systems; the ternary logic can be used in such cases; the use of the ternary logic opens the possibility for using an s-nary logic in systems whose elements can exist in one of s states.

Document Details

Document Type
Technical Report
Publication Date
Jun 12, 1970
Accession Number
AD0712804

Entities

People

  • D. N. Kolesnikov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Capacitors
  • Circuits
  • Electronic Components
  • Electronic Equipment
  • Notation
  • Probability
  • Reliability
  • Resistors
  • Short Circuits

Fields of Study

  • Engineering

Readers

  • Computer Engineering
  • Electrical Engineering
  • Theoretical Analysis.