Cutting plane method for multiple objective stochastic integer linear programming |
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Affiliation: | 1. Laboratoire d''Étude des Microstructures et de Mécanique des Matériaux, LEM3, UMR CNRS 7239, Arts et Métiers ParisTech, 4 rue Augustin Fresnel, 57078 Metz Cedex 3, France;2. Laboratoire Procédés de Fabrication, LPF, École Militaire Polytechnique, Bordj El Bahri 16046, Algeria;3. Laboratoire Mécanique des Structures, LMS, École Militaire Polytechnique, Bordj El Bahri 16046, Algeria;4. Laboratory of Excellence on Design of Alloy Metals for low-mAss Structures, DAMAS, Université de Lorraine, France |
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Abstract: | This paper grapples with the problem of incorporating integer variables in the constraints of a multiple objective stochastic linear program (MOSLP). After representing uncertain aspirations of the decision maker by converting the original problem into a deterministic multiple objective integer linear program (MOILP), a cutting plane technique may be used to compute all the efficient solutions of the last model leaving the decision maker to choose a solution according to his preferences. A numerical example is also included for illustration. |
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