On the optimal value function for certain linear programs with unbounded optimal solution sets

DOI10.1007/BF00938759zbMath0542.90089MaRDI QIDQ795745

Harold P. Benson

Publication date: 1985

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

zbMATH Keywords

multiple-objective linear programmingparametric programmingsensitivity analysisperturbationoptimal value function

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Methods of successive quadratic programming type (90C55)

Cites Work

• Unnamed Item
• On the continuity of the maximum in parametric linear programming
• On the continuity of the minimum set of a continuous function
• Evolution of Linear Programming Computing Techniques
• New Methods in Mathematical Programming—On Varying All the Parameters in a Linear-Programming Problem and Sequential Solution of a Linear-Programming Problem
• Linear Multiple Objective Problems with Interval Coefficients
• Note—Sensitivity Analysis in Leontief Substitution Systems
• Rim Multiparametric Linear Programming
• Algorithms for the vector maximization problem
• On Parametric Linear Programming
• Point-to-Set Maps in Mathematical Programming
• Marginal Values in Linear Programming

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