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A Linear Programming Approach to the Chemical Equilibrium Problem

Author

Listed:
  • George Dantzig

    (The RAND Corporation, Santa Monica, California)

  • Selmer Johnson

    (The RAND Corporation, Santa Monica, California)

  • Wayne White

    (The RAND Corporation, Santa Monica, California)

Abstract

The well known chemical equilibrium problem is expressed in the form of minimizing the free energy of a mixture in order to compute the chemical composition at equilibrium. By piece-wise linear approximations to the free energy function, the problem becomes a linear program which can be solved by a standard code on a computing machine. Successive approximations give any degree of accuracy.

Suggested Citation

  • George Dantzig & Selmer Johnson & Wayne White, 1958. "A Linear Programming Approach to the Chemical Equilibrium Problem," Management Science, INFORMS, vol. 5(1), pages 38-43, October.
    • Handle: RePEc:inm:ormnsc:v:5:y:1958:i:1:p:38-43
    DOI: 10.1287/mnsc.5.1.38
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    Cited by:

    1. Sinuany-Stern, Zilla, 2023. "Foundations of operations research: From linear programming to data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 306(3), pages 1069-1080.
    2. A. Cassioli & L. Consolini & M. Locatelli & A. Longo, 2013. "Optimization and homotopy methods for the Gibbs free energy of simple magmatic mixtures," Computational Optimization and Applications, Springer, vol. 55(2), pages 427-457, June.
    3. Richard W. Cottle, 2005. "George B. Dantzig: Operations Research Icon," Operations Research, INFORMS, vol. 53(6), pages 892-898, December.

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