MATHEMATICAL MODELS FOR SYSTEM ANALYSIS,

Abstract

An important phase of systems engineering is the development and use of mathematical models for systems analysis. The modeling of systems which can be considered stochastic in nature has wide application for system analysis. If a system is made up of operational units and repair channels, having respectively, time dependent failure rates and time dependent repair rates its basic mathematical model can be written as a differential equation. The application of this model to a system will result in a system of differential equations representing the particular system model. In order to arrive at the transient and steady-state solution of this model directly, analog computer simulation can be used. The use of stochastic modeling and analog simulation results in data which has definite and varied application for system analysis from both the technical and economic aspects. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1963
Accession Number
AD0419609

Entities

People

  • Larry D. Krull

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Analog Computers
  • Computer Simulations
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Mathematical Models
  • Models
  • Simulations
  • Simulators
  • Steady State
  • Systems Analysis
  • Systems Engineering

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Systems Analysis and Design