Global multi-parametric optimal value bounds and solution estimates for separable parametric programs

DOI10.1007/BF02055203zbMath0727.90079MaRDI QIDQ804476

Anthony V. Fiacco

Publication date: 1990

Published in: Annals of Operations Research (Search for Journal in Brave)

zbMATH Keywords

branch-and-boundglobal solutionsUpper and lower boundsnonconvex separable programs

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Sensitivity, stability, parametric optimization (90C31) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (2)

On the global solution of multi-parametric mixed integer linear programming problems ⋮ Theoretical and algorithmic advances in multi-parametric programming and control

Cites Work

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• Convexity and concavity properties of the optimal value function in parametric nonlinear programming
• Introduction to sensitivity and stability analysis in nonlinear programming
• Solving highly nonlinear convex separable programs using successive approximation
• Sensitivity analysis in posynomial geometric programming
• Algorithms for parametric nonconvex programming
• Stability of the solution of definite quadratic programs
• Generalized convexity and concavity of the optimal value function in nonlinear programming
• Strongly Regular Generalized Equations
• Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
• Sensitivity Analysis Procedures for Geometric Programs: Computational Aspects
• Generalized equations and their solutions, Part I: Basic theory
• Inequalities for Stochastic Nonlinear Programming Problems

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