A weighted-gradient approach to multi-objective linear programming problems using the analytic hierarchy process

  • Authors:
  • Ami Arbel

  • Affiliations:
  • Industrial Engineering Department Tel-Aviv University, Tel-Aviv 69978, Israel

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 1993

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Abstract

This paper presents a Multi-objective Linear Programming (MOLP) algorithm that is using the AHP to generate locally-relevant scaling coefficients and applying them to the projected gradients produced by a variant of Karmarkar's interior-point algorithm known as the affine-scaling primal algorithm. We refer to the class of MOLP algorithms resulting from this variant as Affine-Scaling Interior Multi-objective Linear Programming (ASIMOLP) algorithms.