A fresh view on the tolerance approach to sensitivity analysis in linear programming

DOI10.1016/j.ejor.2004.01.050zbMath1074.90046OpenAlexW2117909803MaRDI QIDQ2484336

Carlo Filippi

Publication date: 1 August 2005

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

Full work available at URL: https://doi.org/10.1016/j.ejor.2004.01.050

zbMATH Keywords

Linear programmingParametric programmingSensitivity analysisTolerance approach

Mathematics Subject Classification ID

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

Related Items (16)

Sensitivity analysis: a review of recent advances ⋮ Construction of the largest sensitivity region for general linear programs ⋮ Post-optimality approach to prevent cycling in linear MPC target calculation ⋮ Robust optimality analysis of non-degenerate basic feasible solutions in linear programming problems with fuzzy objective coefficients ⋮ Use of the Reduced Tolerance Approach to Rank Efficient Solutions ⋮ Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem ⋮ Maximal inner boxes in parametric \textit{AE}-solution sets with linear shape ⋮ Global sensitivity analysis via a statistical tolerance approach ⋮ A global tolerance approach to sensitivity analysis in linear programming ⋮ Enlarging the radius of stability and stability regions in data envelopment analysis ⋮ New conditions for testing necessarily/possibly efficiency of non-degenerate basic solutions based on the tolerance approach ⋮ Possibilistic linear regression with fuzzy data: tolerance approach with prior information ⋮ Tolerance analysis in linear systems and linear programming ⋮ Linear Programming with Interval Data: A Two-Level Programming Approach ⋮ Maximal and supremal tolerances in multiobjective linear programming ⋮ An Extended Necessity Measure Maximisation Incorporating the Trade-Off between Robustness and Satisfaction in Fuzzy LP Problems

Uses Software

• cdd
• Matlab
• Optimization Toolbox

Cites Work

• Unnamed Item
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• Approaches to sensitivity analysis in linear programming
• Multi-parametric analysis of the maximum tolerance in a linear programming problem
• Tolerance Sensitivity and Optimality Bounds in Linear Programming
• Using bounds on the data in linear programming: The tolerance approach to sensitivity analysis
• The Tolerance Approach to Sensitivity Analysis in Linear Programming

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