DECENTRALIZED MANAGEMENT OF INTERACTING PROCESSES: A TECHNIQUE OF NONLINEAR PROGRAMMING (II),

Abstract

Certain conditions are established under which an equilibrium point of the algorithm of priceadjustment is asymptotically stable in the large. These conditions are phrased as requirements on the functions involved in the original or integrated problem. It is shown that, although the usual concavity requirements (for maximization problems) are sufficient to guarantee stability, much less will suffice. Mathematically, this appears as the fact that, for stability, only the sum of certain quadratic forms - one for each sub-problem- must be negative, so that one or more positive terms may be cancelled by others sufficiently negative. An organizational interpretation of this result is attempted. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1944
Accession Number
AD0433688

Entities

People

  • Leon Lasdon
  • Surojeet Sengupta

Organizations

  • Case Western Reserve University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programming
  • Evolutionary Algorithms
  • Guarantees
  • Heuristic Methods
  • Mathematics
  • Nonlinear Programming

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Operations Research