Aspiration-Led Decision Support Systems: Theory and Methodology

This paper presents a review of the theory and methodology of aspiration-led multi-objective decision support systems as developed during the last decade. After a short historical note on the development of decision analysis and multi-objective optimization, diverse ways of understanding the concept of rationality in decision analysis and support are discussed and the development of aspiration-led decision support systems (ALDSS) is outlined. Foundations of multi-objective optimization theory are reviewed and their relations to reference point optimization, achievement scalarizing functions and aspiration-led decision support are presented, together with their extensions to the problems of dynamics, uncertainty, multi-person decisions. Various aspects of methodology of aspiration-led decision support are discussed along with the description of theoretical results. Some further aspects, such as the phases of decision support, the questions of possible standards of model computerization, the issues of optimization tools, of interactive graphics for decision support, are only outlined. Instead of conclusions, topics for further studies are indicated.

[1]  Marek Makowski,et al.  Mathematical Programming Package HYBRID , 1989 .

[2]  G. Fandel Optimale Entscheidung bei mehrfacher Zielsetzung , 1972 .

[3]  N. Slack,et al.  Making Management Decisions , 1991 .

[4]  Andrzej P. Wierzbicki,et al.  Negotiation and Mediation in Conflicts I.: The Role of Mathematical Approaches and Methods , 1983 .

[5]  Andrzej P. Wierzbicki,et al.  Negotiation and Mediation in Conflicts: II. Plural Rationality and Interactive Decision Processes , 1985 .

[6]  Ralph E. Steuer,et al.  An interactive weighted Tchebycheff procedure for multiple objective programming , 1983, Math. Program..

[7]  James P. Ignizio,et al.  A Review of Goal Programming: A Tool for Multiobjective Analysis , 1978 .

[8]  Roger J.-B. Wets,et al.  Stochastic Programming: Solution Techniques and Approximation Schemes , 1982, ISMP.

[9]  Anatol Rapoport,et al.  USES OF EXPERIMENTAL GAMES , 1985 .

[10]  H. Simon,et al.  Models of Man. , 1957 .

[11]  A. M. Geoffrion Duality in Nonlinear Programming: A Simplified Applications-Oriented Development , 1971 .

[12]  Andrzej P. Wierzbicki Penalty Methods in Solving Optimization Problems with Vector Performance Criteria, II , 1975 .

[13]  Andrzej P. Wierzbicki,et al.  Aspiration Based Decision Support Systems , 1989 .

[14]  Stuart A. Umpleby A Group Process Approach to Organizational Change , 1982, International Working Conference on Model Realism.

[15]  G. Leitmann,et al.  Compromise Solutions, Domination Structures, and Salukvadze’s Solution , 1974 .

[16]  R. S. Laundy,et al.  Multiple Criteria Optimisation: Theory, Computation and Application , 1989 .

[17]  M. I. Henig Proper efficiency with respect to cones , 1982 .

[18]  Reinhard Selten,et al.  Bounded rational behavior in experimental games and markets : proceedings of the Fourth Conference on Experimental Economics, Bielefeld, West Germany, September 21-25, 1986 , 1988 .

[19]  Andrzej P. Wierzbick Basic properties of scalarizmg functionals for multiobjective optimization , 1977 .

[20]  Andrew B. Whinston,et al.  Foundations of Decision Support Systems , 1981 .

[21]  Simon French,et al.  Multiple Criteria Decision Making: Theory and Application , 1981 .

[22]  John Casti,et al.  Vector-valued optimization problems in control theory , 1979 .

[23]  A. Charnes,et al.  Goal programming and multiple objective optimizations: Part 1 , 1977 .

[24]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[25]  Y. Haimes,et al.  The envelope approach for multiobjeetive optimization problems , 1987, IEEE Transactions on Systems, Man, and Cybernetics.

[26]  A. M. Geoffrion Proper efficiency and the theory of vector maximization , 1968 .

[27]  Martin Grötschel,et al.  Mathematical Programming The State of the Art, XIth International Symposium on Mathematical Programming, Bonn, Germany, August 23-27, 1982 , 1983, ISMP.

[28]  J. Granat,et al.  IAC-DIDAS-N A Dynamic Interactive Decision Analysis and Support System for Multicriteria Analysis of Nonlinear Models , 1988 .

[29]  Hirotaka Nakayama,et al.  Theory of Multiobjective Optimization , 1985 .

[30]  M. Strubegger An Approach for Integrated Energy-Economy Decision Analysis The Case of Austria , 1986 .

[31]  A. Roth Axiomatic models of bargaining , 1979 .

[32]  Hirotaka Nakayama Sensitivity and Trade-off Analysis in Multiobjective Programming , 1989 .

[33]  Andrzej P. Wierzbicki,et al.  Plural Rationality and Interactive Decision Processes , 1985 .

[34]  John Kenneth Galbraith The New Industrial State , 1967 .

[35]  Y. Haimes,et al.  Multiobjectives in water resource systems analysis: The Surrogate Worth Trade Off Method , 1974 .

[36]  A. Wierzbicki On the completeness and constructiveness of parametric characterizations to vector optimization problems , 1986 .

[37]  Fumiko Seo,et al.  Multiple Criteria Decision Analysis in Regional Planning: Concepts, Methods and Applications , 1987 .

[38]  Andrzej P. Wierzbicki,et al.  The Use of Reference Objectives in Multiobjective Optimization , 1979 .

[39]  H. P. Benson,et al.  The Vector Maximization Problem: Proper Efficiency and Stability , 1977 .

[40]  Horst F. Wedde,et al.  Adequate Modeling of Systems, Proceedings of the International Working Conference on Model Realism, Bad Honnef, Germany, April 20-23, 1982 , 1983, Adequate Modeling of Systems.

[41]  Yacov Y. Haimes,et al.  MULTIOBJECTIVE DYNAMIC PROGRAMMING: THE STATE OF THE ART , 1989 .

[42]  A. Wierzbicki A Mathematical Basis for Satisficing Decision Making , 1982 .

[43]  Andrzej P. Wierzbicki,et al.  Models and sensitivity of control systems , 1984 .

[44]  Andrzej P. Wierzbicki,et al.  Towards Interactive Solutions in a Bargaining Problem , 1989 .

[45]  Andrzej Ruszczyński Modern Techniques for Linear Dynamic and Stochastic Programs , 1989 .

[46]  Pekka Korhonen,et al.  Solving generalized goal programming problems using a visual interactive approach , 1986 .

[47]  Pekka Korhonen,et al.  A Careful Look at Efficiency in Multiple Objective Linear Programming , 1989 .

[48]  W. Hamilton,et al.  The Evolution of Cooperation , 1984 .

[49]  S. Messner Natural Gas Trade in Europe and Interactive Decision Analysis , 1986 .

[50]  Andrzej P. Wierzbicki,et al.  Multiobjective Decision Support for Simulated Gaming , 1989 .

[51]  Ivan Stanchev,et al.  Methodology and Software for Interactive Decision Support , 1989 .