Generalized derivatives of lexicographic linear programs

DOI10.1007/S10957-018-1309-2zbMath1408.90175OpenAlexW2803334141WikidataQ129804679 ScholiaQ129804679MaRDI QIDQ1670102

Kamil A. Khan, Kai Höffner, Paul I. Barton, Jose Alberto Gomez

Publication date: 4 September 2018

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/1721.1/131873

zbMATH Keywords

optimizationdynamic flux balance analysisgeneralized derivativelexicographic linear program

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Linear programming (90C05)

Related Items (4)

Theory of index-one nonlinear complementarity systems ⋮ Sensitivity analysis of nonsmooth power control systems with an example of wind turbines ⋮ Nonsmooth DAEs with Applications in Modeling Phase Changes ⋮ Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients

Uses Software

• CPLEX
• Gurobi
• DFBAlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded
• Generalized derivatives for solutions of parametric ordinary differential equations with non-differentiable right-hand sides
• Generalized derivatives of dynamic systems with a linear program embedded
• A nonsmooth version of Newton's method
• Lexicographic differentiation of nonsmooth functions
• Introduction to Piecewise Differentiable Equations
• A vector forward mode of automatic differentiation for generalized derivative evaluation
• Engineering and Economic Applications of Complementarity Problems
• Computationally relevant generalized derivatives: theory, evaluation and applications

This page was built for publication: Generalized derivatives of lexicographic linear programs