Abstract
This paper discusses 25 topics that trace the past, present, and future development of interactive multiple objective programming. Grouped by decade, the topics are as follows:
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References
Benayoun, R., de Montgolfier, J., Tergny, J. and Larichev, O. (1971). Linear Programming with Multiple Objective Functions: Step Method (STEM), Mathematical Programming, Vol. 1, No. 3, pp. 366–375.
Bitran, G. R. (1979). Theory and Algorithms for Linear Multiple Objective Programs with Zero—One Variables, Mathematical Programming, Vol. 17, No. 3, pp. 362–390.
Ecker, J. G., Hegner, N. S. and Kouada, I. A. (1980). Generating All Maximal Efficient Faces for Multiple Objective Linear Programs, Journal of Optimization Theory and Applications, Vol. 30, No. 3, pp. 353–381.
Evans, J. P. and Steuer, R. E. (1973). A Revised Simplex Method for Multiple Objective Programs, Mathematical Programming, Vol. 5, No. 1, pp. 54–72.
Gabbani, D. and Magazine, M. J. (1981). An Interactive Heuristic Approach for Multi—Objective Integer Programming Problems, Working Paper No. 148, Department of Management Sciences, University of Waterloo, Waterloo, Ontario, Canada.
Gal, T. (1977). A General Method for Determining the Set of All Efficient Solutions to a Linear Vectormaximum Problem, European Journal of Operational Research, Vol. 1, No. 5, pp. 307–322.
Geoffrion, A. M., Dyer, J. S. and Feinberg, A. (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.
Haimes, Y. Y., Hall, W. A. and Freedman, H. T. (1975). Multiobjective Optimization in Water Resources Systems: The Surrogate Worth Trade—Off Method. Amsterdam: Elsevier.
IBM Document No. GH19–1091–1 (1979). IBM Mathematical Programming System Extended/370: Primer, IBM Corporation, Data Processing Division, White Plains, New York.
Isermann, H. (1977). The Enumeration of the Set of All Efficient Solutions for a Linear Multiple Objective Program, Operational Research Quarterly, Vol. 28, No. 3, pp. 711–725.
Isermann, H. and Naujoks, G. (1984). Operating Manual for the EFFACET Multiple Objective Linear Programming Package, Fakultät für Wirtschaftwissenschaften, Universität Bielefeld, Federal Republic of Germany.
Karwan, M. H., Zionts, S. and Villarreal, B. (1981). An Improved Multicriteria Integer Programming Algorithm, Working Paper No. 530, School of Management, State University of New York at Buffalo, Buffalo.
Kennington, J. L. (1980). Algorithms for Network Programming. New York: John Wiley & Sons.
Kennington, J. L. and Aronson, J. (1987). Private communications.
Korhonen, P. and Laakso, J. (1985). A Visual Interactive Method for Solving the Multiple Criteria Problem. European Journal of Operational Research, Vol. 24, No. 2, pp. 277–287.
Lasdon, L. S. and Waren, A. D. (1986). GRG2 User’s Guide, University of Texas, Austin, Texas.
Murtaugh, B. A. and Saunders, M. A. (1980). MINOS/AUGMENTED User’s Manual, Report SOL 80–14, Department of Operations Research, Stanford University, Stanford, California.
Nakayama, H., Tanino, T. and Sawaragi, Y. (1980). An Interactive Optimization Method in Multicriteria Decision Making, IEEE Transactions on Systems, Man, and Cybernetics, Vol. 10, No. 3, pp. 163–169.
Steuer, R. E. (1977). An Interactive Multiple Objective Linear Programming Procedure, TIMS Studies in the Management Sciences, Vol. 6, pp. 225–239.
Steuer, R. E. (1986a). Operating Manual for the ADBASE Multiple Objective Linear Programming Package, College of Business Administration, University of Georgia, Athens, Georgia.
Steuer, R. E. (1986b). Multiple Criteria Optimization: Theory, Computation, and Application. New York: John Wiley and Sons.
Steuer, R. E. and Choo, E.-U. (1983). An Interactive Weighted Tchebycheff Procedure for Multiple Objective Programming, Mathematical Programming, Vol. 26, No. 1, pp. 326–344.
Steuer, R. E. and Liou, F. H. (1988). Grid Point Weighting Vectors for Convergence Control in Multiple Objective Programming, to be presented at the International Conference on Multiobjective Problems in Mathematical Programming, October 26–28, 1988 Yalta, U.S.S.R.
Wierzbicki, A. P. (1980). The Use of Reference Objectives in Multiobjective Optimization, Lecture Notes in Economics and Mathematical Systems, No. 177, Berlin: Springer—Verlag, pp. 468–486.
Wierzbicki, A. P. and Lewandowski, A. (1988). Aspiration Based Decision Analysis and Support, Part I: Theoretical and Methodological Backgrounds, to be published at the International Institute for Applied Systems Analysis, Laxenburg, Austria.
Yu, P. L. (1974). Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives, Journal of Optimization Theory and Applications, Vol. 14, No. 3, pp. 319–377.
Zeleny, M. (1974). Linear Multiobjective Programming. Lecture Notes in Economics and Mathematical Systems, No. 95, Berlin: Springer-Verlag.
Zionts, S. and Wallenius, J. (1976). An Interactive Programming Method for Solving the Multiple Criteria Problem, Management Science, Vol. 22, No. 6, pp. 652–663.
Zionts, S. and Wallenius, J. (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.
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© 1989 Springer-Verlag Berlin Heidelberg
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Steuer, R.E. (1989). Trends in Interactive Multiple Objective Programming. In: Lewandowski, A., Stanchev, I. (eds) Methodology and Software for Interactive Decision Support. Lecture Notes in Economics and Mathematical Systems, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22160-0_15
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DOI: https://doi.org/10.1007/978-3-662-22160-0_15
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