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An Interactive Objective Function Generator for Goal Programmes

  • W. L. Price
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 130)

Abstract

The problem of multi-objective programming has been treated in the literature, both in the development of solution algorithms ([2], [3], [4], [5], [6], [7]) and in the reporting of applications ([8], [9], [10]). Some authors ([11], [12]) have examined the problem with a desire to outline the usefulness of multi-objective programming.

Keywords

Objective Function Goal Programming Preference Function Global Constraint Mathematical Programming Technique 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [1]
    Dantzig, G.B., “Linear Programming and its Progeny”, in Applications of Mathematical Programming Techniques (EMI, Beale, Ed.); English Universities Press- (1970), pp. 3–46.Google Scholar
  2. [2).
    Belenson, S.M. and Kapur,K.C., “An Algorithm for Solving Multicriterion Linear Programming Problems with Examples”, Operational Research Quarterly; Vol. 24, No. 1, pp. 65–78, March, 1973.Google Scholar
  3. [3]
    Benayoun, R., Montgolfier, J.,Tergny, J and Laritchev, O., “Linear Programming with Multiple Objective Functions”, Mathematical Programming Vol. 1, (1971), No. 3 (Dec.), pp. 366–375.Google Scholar
  4. [4]
    Evans, J.P. and Steuer, R.E., “Revised Simplex Method for Linear Multiple Objective Programs”, Mathematical Programming Vol. 5, (1973), No. 1 (August), pp. 54–72.Google Scholar
  5. [5]
    Geoffrion, A.M., “Solving Bi-Criterion Mathematical Programs”, Operations Research, Vol. 15 (1967), No. 1 (Jan-Feb.), pp. 39–54.Google Scholar
  6. [6]
    Roy, Bernard, “Problems and Methods with Multiple Objective Functions”, Mathematical Programmïng, Vol. 1 (1971), No. 2 (November), pp. 239–266.Google Scholar
  7. [7]
    Bolfut, G. and Stancu-Minasian, J.M., “Méthode de Résolution de Certains Problèmes de Programmation Linéaire Multidimensionnelle”, Revue Roumaine de Mathématiques Pures et Appliquées Vol. 16 (1971), No. 3, pp. 313–326.Google Scholar
  8. [8]
    Charmes, A., Cooper, W.W., Niehaus, R.J., and Stedry, A., “Static and Dynamic Assignment Models with Multiple Objectives and Some Remarks on Organization Design”, Management Science, Vol. 15, (1969) - No. 8 (April), p. 335B et seq.Google Scholar
  9. [9]
    Price, W.L., and Piskor, W.G., “The Application of Goal Programming to Manpower Planning”, IN.FOR (Journal of the Canadian O.R. Society), Vol. 10, (1972), No. 3 (October), pp. 221–231.Google Scholar
  10. [10]
    Cohon, J.L., “Multiple Objective Screening of Water Resource Investment Alternatives”, S.M. Thesis, Civil Engineering, MIT, Boston, USA, February, 1972.Google Scholar
  11. [11]
    Eilon, S., “Goals and Constraints in Decision-Making”, Operational Research Quarterly Vol. 23 (1972), No. 1 (March), pp. 3–15.Google Scholar
  12. [12]
    Boulanger, H. et Roy, Bernard, “L’Entreprise Face à la Sélection et à l’Orientation des Projets de Recherche”, Revue METRA Vol. 7 (1968), No. 4 (Dec.), pp. 641–669.Google Scholar
  13. [13]
    Kornbluth, J.S.H., “Duality, Indifference and Sensitivity Analysis in Multiple Objective Linear Programming”, Operational Research Quarterly VOL 25, (1974), No. 4 (December), pp. 599–614.Google Scholar
  14. [14]
    Charnes A., and Cooper W,W., Management Models and Industrial Applications of Linear Programming Vol. 11, John Wiley and Sons (New York), 1961.Google Scholar
  15. [15]
    Beale, E.M.L., “The Significance of Recent Developments in Mathematical Programming Systems”“ in Mathematical Programming in Theory and Practice North Holland, 1974Google Scholar
  16. [16]
    Geoffrion, A.M., J.S. Dyer, and A. Feinberg, “An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department”, Management Science Vol. 19, No. 4, Dec. 1972.Google Scholar
  17. [17]
    Lee, S.M.,Goal Programming for Decision Analysis; Auerbach Inc., Philadelphia, USA, 1972Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1976

Authors and Affiliations

  • W. L. Price
    • 1
  1. 1.University of OttawaCanada

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