A review of interactive methods for multiobjective integer and mixed-integer programming |
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Authors: | Maria João Alves João Clímaco |
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Institution: | Faculdade de Economia da Universidade de Coimbra, INESCC, Av. Dias da Silva, 165, 3004-512 Coimbra, Portugal |
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Abstract: | This paper makes a review of interactive methods devoted to multiobjective integer and mixed-integer programming (MOIP/MOMIP) problems. The basic concepts concerning the characterization of the non-dominated solution set are first introduced, followed by a remark about non-interactive methods vs. interactive methods. Then, we focus on interactive MOIP/MOMIP methods, including their characterization according to the type of preference information required from the decision maker, the computing process used to determine non-dominated solutions and the interactive protocol used to communicate with the decision maker. We try to draw out some contrasts and similarities of the different types of methods. |
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Keywords: | Integer programming Multiple objective programming Interactive methods |
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