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Toward the Consolidation of Interactive Multiple Objective Programming Procedures

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Large-Scale Modelling and Interactive Decision Analysis

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 273))

Abstract

The paper discusses a consolidated approach to multiple criteria optimization that subsumes most of the most prominent interactive procedures that have been designed for solving multiple objective programming problems. The consolidated approach not only allows users to choose which interactive procedure to apply, but it also allows users to select different procedures on different iterations if so desired. Also, comments are made about multiple criteria information transfer protocols using computer graphics and voice communications capabilities at the computer/user interface.

The opinions expressed in this paper are those of the author and do not reflect the officical views of the Navy Department

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References

  1. Benayoun, R., J. de Montgolfier, J. Tergny, and O. Laritchev (1971). “Linear Programming with Multiple Objective Functions: Step Method (STEM),” Mathematical Programming, Vol. 1, No. 3, pp. 366–375.

    Article  Google Scholar 

  2. Brockhoff, K. (1985). “Experimental Test of MCDM Algorithms in a Modular Approach,” European Journal of Operational Research, Vol. 22, No. 2, pp. 159–166.

    Article  Google Scholar 

  3. Buchanan, J. L. (1985). “Solution Methods for Multiple Objective Decision Models,” Ph.D. Dissertation, University of Canterbury, Christchurch, New Zealand.

    Google Scholar 

  4. Geoffrion, A. M., J. S. Dyer, and A. Feinberg (1972). “An Interactive Approach for Multicriterion Optimization with an Application to the Operation of an Academic Department,” Management Science, Vol. 19, No. 4, pp. 357–368.

    Article  Google Scholar 

  5. Grauer, M. (1983). “A Dynamic Interactive Decision Analysis and Support System (DIDASS): User’s Guide,” WP-83–60, International Institute for Applied Systems Analysis, Laxenburg, Austria.

    Google Scholar 

  6. Haimes, Y. Y. and W. A. Hall (1974). “Multiobjectives in Water Resources Systems Analysis: The Surrogate Worth Trade-Off Method,” Water Resources Research, Vol. 10, No. 4, pp. 615–623.

    Article  Google Scholar 

  7. IBM Document No. SH19–1099-1 (1975). “IBM Mathematical Programming 241 System Extended/370 (MPSX/370), Mixed Integer Programming/370 (MIP/370): “Program Reference Manual,” IBM Corporation, Data Processing Division, White Plains, New York.

    Google Scholar 

  8. Isermann, H. and R. E. Steuer (1986). “Payoff Tables and Minimum Criterion Values Over the Efficient Set,” College of Business Administration, University of Georgia, Athens, Georgia

    Google Scholar 

  9. Korhonen, P. and J. Laakso (1986). “A Visual Interactive Method for Solving the Multiple Criteria Problem,” European Journal of Operational Research, forthcoming.

    Google Scholar 

  10. Lewandowski, A. and M. Grauer (1982). “The Reference Point Optimization Approach - Methods of Efficient Implementation,” WP-82–26, International Institute for Applied Systems Analysis, Laxenburg, Austria.

    Google Scholar 

  11. Murtagh, B. A. and M. A. Saunders (1980). “MINOS/AUGMENTED User’s Manual,” Report SOL 80–14, Department of Operations Research, Stanford University, Stanford, California.

    Google Scholar 

  12. SAS Institute (1985). “SAS/OR Users Guide,” Cary, North Carolina: SAS Institute, Inc.

    Google Scholar 

  13. Steuer, R. E. (1977). “An Interactive Multiple Objective Linear Programming Procedure,” TIMS Studies in the Management Sciences, Vol. 6, pp. 225–239.

    Google Scholar 

  14. Steuer, R. E. and E. U. Choo (1983). “An Interactive Weighted Tchebycheff Procedure for Multiple Objective Programming,” Mathematical Programming, Vol. 26, No. 1, pp. 326–344.

    Article  Google Scholar 

  15. Steuer, R. E. and A. T. Schuler (1981). “Interactive Multiple Objective Linear Programming Applied to Multiple Use Forestry Planning,” In M. C. Vodak, W. A. Leuschner, and D. I. Navon (eds.), Symposium on Forest Management Planning: Present Practice and Future Directions, FWS-1–81, School of Forestry and Wildlife Resources, VPI, Blacksburg, Virginia, pp. 80–93.

    Google Scholar 

  16. Tversky, A. (.1972). “Elimination by Aspects: A Theory of Choice,” Psychological Review, Vol. 79, pp. 281–289.

    Article  Google Scholar 

  17. Wierzbicki, A. P. (1980). “The Use of Reference Objectives in Multi-objective Optimization,” Lecture Notes in Economics and Mathematical Systems, No. 177, Berlin: Springer-Verlag, pp. 469–486.

    Google Scholar 

  18. Zionts, S. and J. Wallenius (1976). “An Interactive Method for Solving the Multiple Criteria Problem,” Management Science, Vol. 22, No. 6, pp. 652–663.

    Article  Google Scholar 

  19. Zionts, S. and J. Wallenius (1983). “An Interactive Multiple Objective Linear Programming Method for a Class of Underlying Nonlinear Utility Functions,” Management Science, Vol. 29, No. 5, pp. 519–529.

    Article  Google Scholar 

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© 1986 Springer-Verlag Berlin Heidelberg

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Steuer, R.E., Whisman, A.W. (1986). Toward the Consolidation of Interactive Multiple Objective Programming Procedures. In: Fandel, G., Grauer, M., Kurzhanski, A., Wierzbicki, A.P. (eds) Large-Scale Modelling and Interactive Decision Analysis. Lecture Notes in Economics and Mathematical Systems, vol 273. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02473-7_24

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  • DOI: https://doi.org/10.1007/978-3-662-02473-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16785-3

  • Online ISBN: 978-3-662-02473-7

  • eBook Packages: Springer Book Archive

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