Solving Multi-Objective Network Flow Problems with an Interior Point Method*

نویسندگان

  • Margarida Fonseca
  • José Rui Figueira
  • Mauricio G. C. Resende
چکیده

In this paper we present a primal-dual interior-point algorithm to solve a class of multi-objective network flow problems. More precisely, our algorithm is an extension of the single-objective primal-dual infeasible and inexact interior point method for multi-objective linear network flow problems. A comparison with standard interior point methods is provided and experimental results on bi-objective instances are reported in this paper as well. The multi-objective instances are converted into single objective problems with the help of an achievement function, which is particularly adequate for interactive decision-making methods.

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تاریخ انتشار 2009