PROMISE: A DSS for multiple objective stochastic linear programming problems
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Most of the multiple objective linear programming (MOLP) methods which have been proposed in the last fifteen years suppose deterministic contexts, but because many real problems imply uncertainty, some methods have been recently developed to deal with MOLP problems in stochastic contexts. In order to help the decision maker (DM) who is placed before such stochastic MOLP problems, we have built a Decision Support System called PROMISE. On the one hand, our DSS enables the DM to identify many current stochastic contexts: risky situations and also situations of partial uncertainty. On the other hand, according to the nature of the uncertainty, our DSS enables the DM to choose the most appropriate interactive stochastic MOLP method among the available methods, if such a method exists, and to solve his problem via the chosen method.
- R. Benayoun, J. de Montgolfier, J. Tergny and O. Larichev, Linear programming and multiple objective functions: STEP method (STEM), Math. Progr. 1(1971)366–375. CrossRef
- A.M. Geoffrion, J.S. Dyer and A. Feinberg, An interactive approach for multicriterion optimization with an application to the operation of an academic department, Manag. Sci. 19(1972)357–368.
- A. Goicoechea, D.R. Hansen and L. Duckstein,Multiobjective Decision Analysis with Engineering and Business Applications (Wiley, New York, 1982).
- P. Kall,Stochastic Linear Programming (Springer, Berlin, 1976).
- G. Klein, H. Moskowitz and A. Ravindran, Interactive multiobjective optimization under uncertainty, Manag Sci. 36(1990)58–75. CrossRef
- R. Slowinsky and J. Teghem (eds.),Stochastic versus Fuzzy Approach to Multiobjective Mathematical Programming Under Uncertainty (Kluwer Academic, Dordrecht, 1990).
- I.M. Stancu-Minasian,Stochastic Programming with Objective Functions (D. Reidel, Dordrecht, 1984).
- J. Teghem, Multiobjective linear programming under different scenarios, communication atEuro XII/TIMS 21st Meeting, Helsinki (1992).
- J. Teghem, D. Dufrane, M. Thauvoye and P. Kunsh, STRANGE: an interactive method for multiobjective linear programming under uncertainty, Eur. J. Oper. Res. 26(1986)65–82. CrossRef
- B. Urli and R. Nadeau, Multiobjective stochastic linear programming with incomplete information: a general methodology, in:Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming Under Uncertainty, ed. R. Slowinsky and J. Teghem, op.cit. (1990).
- B. Urli and R. Nadeau, Stochastic MOLP with incomplete information: an interactive approach with recourse, J. Oper. Res. Soc. 41(1990)1143–1152.
- B. Urli and R. Nadeau, An interactive method to multiobjective linear programming problems with interval coefficients, INFOR 30(1992)127–137.
- B. Urli and R. Nadeau, Scenarios based interactive methods for multiobjective stochastic linear programming, Cahiers de recherche de l'Université du Québec à Rimouski (1993).
- H.J. Zimmermann, L.A. Zadeh and R.B. Gaines (eds.),Fuzzy Sets and Decision Analysis (North-Holland, Amsterdam, 1984).
- PROMISE: A DSS for multiple objective stochastic linear programming problems
Annals of Operations Research
Volume 51, Issue 1 , pp 45-59
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- Baltzer Science Publishers, Baarn/Kluwer Academic Publishers
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- Multiple objective
- linear programming
- decision support system
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