Sensitivity analysis in multiple objective linear programming: The tolerance approach

DOI10.1016/0377-2217(89)90469-4zbMath0679.90069OpenAlexW2031679338MaRDI QIDQ1823157

Pierre Hansen, Richard E. Wendell, Martine Labbé

Publication date: 1989

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(89)90469-4

zbMATH Keywords

multiobjective linear programmingweighted-sum approach

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05)

Related Items (22)

SENSITIVITY ANALYSIS OF WEAK EFFICIENCY IN MULTIPLE OBJECTIVE LINEAR PROGRAMMING ⋮ Stability and sensitivity analysis in multiobjective nonlinear programming ⋮ A recursive algorithm for volume-based sensitivity analysis of linear decision models ⋮ The tolerance approach in multiobjective linear fractional programming ⋮ Sensitivity analysis in multiobjective differential programming ⋮ Use of the Reduced Tolerance Approach to Rank Efficient Solutions ⋮ Standard sensitivity analysis and additive tolerance approach in MOLP ⋮ Parametric LP for sensitivity analysis of efficiency in MOLP problems ⋮ Unnamed Item ⋮ Postoptimal analysis in multicriteria linear programming ⋮ Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem ⋮ Range sets for weak efficiency in multiobjective linear programming and a parametric polytopes intersection problem ⋮ Additive and multiplicative tolerance in multiobjective linear programming ⋮ Sensitivity analysis in differential programming through the Clarke derivative ⋮ Sensitivity analysis in convex programming ⋮ Robustness of the interactive weighted Tchebycheff Procedure to inaccurate preference information ⋮ Perturbation analysis of general LP models: A unified approach to sensitivity, parametric, tolerance, and more-for-less analysis ⋮ Tolerance analysis in linear systems and linear programming ⋮ Special cases of the tolerance approach in multiobjective linear programming ⋮ A visual interactive tolerance approach to sensitivity analysis in MOLP ⋮ Sensitivity analysis in convex optimization through the circatangent derivative ⋮ Maximal and supremal tolerances in multiobjective linear programming

Cites Work

• Unnamed Item
• A preview of a tolerance approach to sensitivity analysis in linear programming
• Tolerance approach to sensitivity analysis in linear complementarity problems
• Estimating the weights for multiple attributes in a composite criterion using pairwise judgments
• Using bounds on the data in linear programming: The tolerance approach to sensitivity analysis
• The Tolerance Approach to Sensitivity Analysis in Linear Programming
• Multiple Objective Linear Programming with Interval Criterion Weights

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