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Explicit Solutions in Convex Goal Programming

Author

Listed:
  • A. Charnes

    (University of Texas)

  • W. W. Cooper

    (Carnegie-Mellon University)

  • D. Klingman

    (University of Texas)

  • R. J. Niehaus

    (Office of Civilian Manpower Management, Department of the Navy)

Abstract

Goal programming has now become an important tool in areas such as public management science. There is therefore a need for examining ways of securing improved computational efficiency, as is done in this paper, instead of resting only on the linear programming equivalences that were set forth when the original goal programming article was published in Vol. 1, No. 2 of Management Science. Based on lemmata which permit reduction of various important classes of convex goal programming models to problems of full row rank-interval programming type, explicit solutions to convex goal programming problems are exhibited. Some of the equivalences herein established are also useful in their own right and for other classes of problems--e.g., interval programming--as well as advanced start procedures and other such computational matters.

Suggested Citation

  • A. Charnes & W. W. Cooper & D. Klingman & R. J. Niehaus, 1975. "Explicit Solutions in Convex Goal Programming," Management Science, INFORMS, vol. 22(4), pages 438-448, December.
    • Handle: RePEc:inm:ormnsc:v:22:y:1975:i:4:p:438-448
    DOI: 10.1287/mnsc.22.4.438
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    Cited by:

    1. Chen, Dabai, 1985. "Two essays on the mathematical modelling of a Chinese production team," ISU General Staff Papers 1985010108000017534, Iowa State University, Department of Economics.
    2. V M Miori, 2011. "A multiple objective goal programming approach to the truckload routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(8), pages 1524-1532, August.

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