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

Ami Arbel

doi:10.1016/0895-7177(93)90173-V

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

Ami Arbel^*

^*Corresponding author for this work

Department of Industrial Engineering

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	27-39
Number of pages	13
Journal	Mathematical and Computer Modelling
Volume	17
Issue number	4-5
DOIs	https://doi.org/10.1016/0895-7177(93)90173-V
State	Published - 1993

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10.1016/0895-7177(93)90173-V

Cite this

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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.",

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

Abstract

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