Aspects of mathematical modelling related to optimization

Philip E. Gill, Walter Murray, Michael A. Saunders, Margaret Wright

Research output: Contribution to journalArticle

Abstract

Many practical optimization problems involved mathematical models of complex real-world phenomena. This paper discusses some aspects of modelling that influence the performance of optimization methods. Information and advice are given concerning the construction of smooth models, the transformation of an optimization problem from one category to another, scaling, formulation of constraints, and techniques for special types of models.

Original languageEnglish (US)
Pages (from-to)71-83
Number of pages13
JournalApplied Mathematical Modelling
Volume5
Issue number2
DOIs
StatePublished - 1981

Fingerprint

Mathematical Modeling
Optimization Problem
Optimization
Optimization Methods
Scaling
Mathematical Model
Formulation
Modeling
Model
Mathematical models
Influence

ASJC Scopus subject areas

  • Computational Mechanics
  • Control and Systems Engineering
  • Control and Optimization

Cite this

Aspects of mathematical modelling related to optimization. / Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret.

In: Applied Mathematical Modelling, Vol. 5, No. 2, 1981, p. 71-83.

Research output: Contribution to journalArticle

Gill, Philip E. ; Murray, Walter ; Saunders, Michael A. ; Wright, Margaret. / Aspects of mathematical modelling related to optimization. In: Applied Mathematical Modelling. 1981 ; Vol. 5, No. 2. pp. 71-83.
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