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Note--A Comment on the Use of Simplex Method for Absolute Value Problems

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  • Arunachalam Ravindran

    (Purdue University)

  • Thomas W. Hill, Jr.

    (Purdue University)

Abstract

The linear programming approach to the absolute value problem is to transform the unrestricted variable by the difference of two nonnegative variables. This transformation creates an unbounded feasible region which may lead to erroneous solution. To avoid this, Kaplan [Kaplan, Seymour. 1971. Comment on a précis by Shanno and Weil. Management Sci. 17 (11, July) 778-780.] introduced a new constraint to bound the feasible region and suggested a solution scheme using the simplex method. We shall give two counter examples to the proposed scheme and discuss the difficulties involved with this particular class of problem.

Suggested Citation

  • Arunachalam Ravindran & Thomas W. Hill, Jr., 1973. "Note--A Comment on the Use of Simplex Method for Absolute Value Problems," Management Science, INFORMS, vol. 19(5), pages 581-582, January.
  • Handle: RePEc:inm:ormnsc:v:19:y:1973:i:5:p:581-582
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    File URL: http://dx.doi.org/10.1287/mnsc.19.5.581
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    References listed on IDEAS

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    1. Jacob A. Mincer & Victor Zarnowitz, 1969. "The Evaluation of Economic Forecasts," NBER Chapters,in: Economic Forecasts and Expectations: Analysis of Forecasting Behavior and Performance, pages 3-46 National Bureau of Economic Research, Inc.
    2. N/A, 1962. "Summary," National Institute Economic Review, National Institute of Economic and Social Research, vol. 19(1), pages 3-3, February.
    3. N/A, 1962. "Summary," National Institute Economic Review, National Institute of Economic and Social Research, vol. 20(1), pages 3-3, May.
    4. N/A, 1962. "Summary," National Institute Economic Review, National Institute of Economic and Social Research, vol. 21(1), pages 3-3, August.
    5. J. G. Cragg & Burton G. Malkiel, 1968. "The Consensus And Accuracy Of Some Predictions Of The Growth Of Corporate Earnings," Journal of Finance, American Finance Association, vol. 23(1), pages 67-84, March.
    6. N/A, 1962. "Summary," National Institute Economic Review, National Institute of Economic and Social Research, vol. 22(1), pages 3-3, November.
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