Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
Exhaustive nondegenerate conical processes for concave minimization on convex polytopes
Mathematics of Operations Research
Normal conical algorithm for concave minimization over polytopes
Mathematical Programming: Series A and B
A Finite Algorithm for Global Minimization ofSeparable Concave Programs
Journal of Global Optimization
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
Introduction to Global Optimization (Nonconvex Optimization and Its Applications)
Cone Adaptation Strategies for a Finite and Exact Cutting Plane Algorithm for Concave Minimization
Journal of Global Optimization
Journal of Global Optimization
Outlier detection and least trimmed squares approximation using semi-definite programming
Computational Statistics & Data Analysis
SIAM Journal on Optimization
Journal of Global Optimization
Bilevel time minimizing transportation problem
Discrete Optimization
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In this paper simplicial branch-and-bound algorithms for concave minimization problems are discussed. Some modifications of the basic algorithm are presented, mainly consisting in rules to start local searches, introduction of cuts and updates of the original objective function. While some of these tools are not new in the literature, it is the first time, to the authors' knowledge, that they are used to guarantee the finiteness of a simplicial branch-and-bound approach.