Global optimization approach to Malfatti's problem

DOI10.1007/s10898-015-0372-6zbMath1344.90050OpenAlexW2290892627MaRDI QIDQ276503

Rentsen Enkhbat

Publication date: 4 May 2016

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-015-0372-6

zbMATH Keywords

circlealgorithmglobal optimizationglobal optimality conditionsMalfatti's problemtriangle set

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Optimality conditions and duality in mathematical programming (90C46)

Related Items (8)

Global optimization reduction of generalized Malfatti's problem ⋮ Solving Malfatti's high dimensional problem by global optimization ⋮ Application of survival theory in taxation ⋮ Application of sphere packing theory in financial management ⋮ Maximizing the sum of radii of balls inscribed in a polyhedral set ⋮ Convex maximization formulation of general sphere packing problem ⋮ Generalized Nash equilibrium problem based on Malfatti's problem ⋮ Application of survival theory in mining industry

Cites Work

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• The problem of Malfatti: Two centuries of debate
• An algorithm for maximizing a convex function over a simple set
• On the Original Malfatti Problem

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