Reducing the number of unknowns in a constrained minimisation problem-an appliation to material balances

D. E. Simpson, M. G. Everett, V. R. Voller

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

The mineral processing material balance problem and the available mainframe packages for automated solution are outlined. In mathematical terms the material balance problem is a constrained minimisation problem. An efficient solution approach is developed which reduces this to an unconstrained minimisation problem with fewer variables. The computer storage space of this apporach is much smaller than previous approaches to automated material balances. It is thus able to run on a personal computer and compete against mainframe packages. A prototype of this approach is developed, and test results on a large problem are included. By developing a tailor-made package for personal computers, it is hoped that a more widespread use of material balance packages will be made.

Original languageEnglish (US)
Pages (from-to)204-212
Number of pages9
JournalApplied Mathematical Modelling
Volume12
Issue number2
DOIs
StatePublished - Apr 1988

Bibliographical note

Funding Information:
D. Simpson would like to acknowledge Warren Springs Laboratory, Stevenage, and the MRRC, University of Minnesota, for support during this work.

Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

Keywords

  • constraints
  • material balance
  • mineral processing
  • minimisation

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