Accession Number : AD0419609

Title :   MATHEMATICAL MODELS FOR SYSTEM ANALYSIS,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Krull,Larry D.

Report Date : AUG 1963

Pagination or Media Count : 31

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)

Descriptors :   (*MATHEMATICAL MODELS, WEAPON SYSTEMS), (*GUIDED MISSILE MODELS, SIMULATION), STOCHASTIC PROCESSES, DIFFERENTIAL EQUATIONS, PROBABILITY, FUNCTIONS(MATHEMATICS), INTEGRAL EQUATIONS, ANALOG COMPUTERS, FAILURE(MECHANICS), MAINTENANCE, TIME, INTEGRATORS(COMPUTERS)

Distribution Statement : APPROVED FOR PUBLIC RELEASE