Aspects of mathematical modelling related to optimization

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

Research output: Contribution to journalArticlepeer-review


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
Issue number2
StatePublished - Apr 1981

ASJC Scopus subject areas

  • Modeling and Simulation
  • Applied Mathematics


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