CONTINUOUS PROGRAMMING METHODS ON AN ANALOG COMPUTER,

Abstract

A feasible solution of a programming problem, in which a positive vector x maximizes a function g(x) under m convex conditions f sub i (x) < or = O usually exhibits certain stable properties and the entire system can be said to be in equilibrium or that it is an equilibrium model. Beginning at a solution, a time transient may be induced in the system by making f and/or g functions of time. Methods for examining such transients on the analog computer are examined with examples. The problem considered here arises because often the behavior of a system in time under the influence of a variation of parameters is as interesting as the initial or final stable states. Typical examples are found in a petroleum fractionating column or a complex chemical equilibrium.

Document Details

Document Type
Technical Report
Publication Date
Sep 29, 1959
Accession Number
AD0616375

Entities

People

  • Edward C. DeLand

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Analog Computers
  • Chemical Equilibrium
  • Chemical Reaction Properties
  • Chemical Reactions
  • Computer Programming
  • Computers
  • Computing Devices
  • Mathematical Programming
  • Petroleum

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Theoretical Analysis.