Using Duality Theory for Identification of Primal Efficient Points and for Sensitivity Analysis in Multiple Objective Linear Programming

1 July 1978

journal article
Published by Taylor & Francis in Journal of the Operational Research Society

Vol. 29 (7) , 643-649
https://doi.org/10.1057/jors.1978.140

Abstract

The dual of the multiple objective linear programming problem is defined as a multiparametric LP problem for the right-hand sides. The resulting dual variables are multidimensional and are related to the indifference regions in the primal problem. The formulation of the dual is shown to be preferable to the vector minimization formulation in terms of (a) identifying primal efficient points and indifference regions, and (b) sensitivity analysis.

Keywords

SENSITIVITY ANALYSIS
PRODUCTION
LOGISTICS
MANAGEMENT SCIENCE
INFORMATION SYSTEMS
OPERATIONS RESEARCH
FORECASTING
PROJECT MANAGEMENT
COMMUNICATIONS TECHNOLOGY
OPERATIONAL RESEARCH
RELIABILITY
INVESTMENT
LOCATION
INVENTORY
MARKETING
INFORMATION TECHNOLOGY
SCHEDULING
COMPUTER SCIENCE
DUALITY THEORY

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