Geometric branch-and-bound methods are popular solution algorithms in deterministic global optimization to solve … problems in small dimensions. The aim of this paper is to formulate a geometric branch-and-bound method for constrained global … convergence of the suggested method using the concept of the rate of convergence in geometric branch-and-bound methods as …

the bars. To solve this problem we propose a new two-stage Branch and Bound algorithm. In the first stage we perform a … Branch and Bound algorithm on the nodes of the structure. This is based on the following dichotomy study: either a node is in … the final structure or not. In the second stage, a Branch and Bound on the bar areas is conducted. The existence or …

on a branch and bound scheme, in which the branching procedure is performed by a so-called I-rectangular bisection in the …

We present a branch and bound algorithm for the global optimization of a twice differentiable nonconvex objective … regularisation techniques to the objective function within an overlapping branch and bound algorithm for convex constrained global … optimization. Unlike other branch and bound algorithms, lower bounds are obtained via nonconvex underestimators of the function …

and bound algorithms. We proposed a specific algorithm, based on a generated computational graph of the problem, for … fully subdivide them before analysis of ranges of objective and constraints, thus dispensing totally with the branch and … identified certain variables as convex, not ever needing subdivision, and non-convex, or possibly needing subdivision in branch …

using a branch and bound tree traversed using the depth first strategy. The reason is its linear space requirement compared … proposed strategy is significantly faster than the naked branch and bound approach, especially as the number of centers and …

demanding. In this paper, a new branch and bound algorithm being able to find exact solution of the problem is presented. A …

applicable. A solution procedure based on an iterative cut generation strategy within a branch-and-bound framework is proposed …

determined cycle time (SALBP-1). The algorithm is a station-oriented bidirectional branch-and-bound procedure based on a new …