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A WIN-WIN approach to multiple objective linear programming problems
Authors:H V Junior  M P E Lins
Institution:1.Aeronautics Technological Institute—ITA,S?o José dos Campos,Brazil;2.COPPE—Federal University of Rio de Janeiro,Rio de Janeiro,Brazil
Abstract:Interactive decision making arose as a means to overcome the uncertainty concerning the decision maker's (DM) value function. So far the search is confined to nondominated alternatives, which assumes that a win–lose strategy is adopted. The purpose of this paper is to suggest a complementary interactive algorithm that uses an interior point method to solve multiple objective linear programming problems. As the algorithm proceeds, the DM has access to intermediate solutions. The sequence of intermediate solutions has a very interesting characteristic: all of the criteria are improved, that is, a solution Open image in new window /></a> </span>, that follows another solution <span class= Open image in new window /></a> </span>, has the values of all objectives greater than those of <span class= Open image in new window /></a> </span>. This WIN-WIN feature allows the DM to reach a nondominated solution without making any trade-off among the objective functions. However, there is no impediment in proceeding with traditional multiobjective methods.</td>
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