An algorithm for multiple-objective non-linear programming
Masud, Abu S.M.
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Abu S. M. Masud and Xitong Zheng. An Algorithm for Multiple-objective Non-linear Programming. Journal of the Operational Research Society, 1989. http://www.palgrave-journals.com/jors/journal/v40/n10/abs/jors1989158a.html.
An interactive algorithm to solve multiple-objective non-linear programming (MONLP) problems is proposed. In each iteration of the proposed algorithm, the decision-maker is presented with a solution and a set of direction (trade-off) vectors indicating possible trade-offs. Using the decision-maker's preferred trade-off vector, a new current solution and the corresponding trade-off vectors are found. The proposed algorithm is illustrated with a numerical example of a replacement model. Finally, the method is compared with four other interactive multiple-objective algorithms.
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