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On the Explicit Solution of a Special Class of Linear Economic Models

Author

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  • A. Ben-Israel

    (Northwestern University, Evanston, Illinois)

  • A. Charnes

    (The University of Texas, Austin, Texas)

  • A. P. Hurter

    (Northwestern University, Evanston, Illinois)

  • P. D. Roberts

    (Research Analysis Corporation, McLean, Virginia)

Abstract

This paper derives explicit solutions for a class of linear (inequality) economic models heretofore treated by linear programming. These solutions are quite elementary and the decision criteria given are easily interpreted. The explicit solutions may involve the inversion of a single matrix, but even this is not necessary for the three applications in capital budgeting, production planning, and input-output analysis given in the paper.

Suggested Citation

  • A. Ben-Israel & A. Charnes & A. P. Hurter & P. D. Roberts, 1970. "On the Explicit Solution of a Special Class of Linear Economic Models," Operations Research, INFORMS, vol. 18(3), pages 462-470, June.
    • Handle: RePEc:inm:oropre:v:18:y:1970:i:3:p:462-470
    DOI: 10.1287/opre.18.3.462
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