A weighted-gradient approach to Multi-objective Linear Programming problems using the analytic hierarchy process

A weighted-gradient approach to Multi-objective Linear Programming problems using the analytic hierarchy process

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Article ID: iaor19952276
Country: United States
Volume: 17
Start Page Number: 27
End Page Number: 39
Publication Date: Jun 1993
Journal: Mathematical and Computer Modelling
Authors:
Keywords: decision theory: multiple criteria, analytic hierarchy process
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. It refers to the class of MOLP algorithms resulting from this variant as Affine-Scaling Interior Multi-objective Linear Programming algorithms.

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