. Various techniques have been proposed for incorporating constraints in interval branch and bound algorithms for global optimization. However, few reports of practical experience with these techniques have appeared to date. Such experimental results appear here. The underlying implementation includes use of an approximate optimizer combined with a careful tesselation process and rigorous verification of feasibility. The experiments include comparison of methods of handling bound constraints and comparison of two methods for normalizing Lagrange multipliers. Selected test problems from the Floudas / Pardalos monograph are used, as well as selected unconstrained test problems appearing in reports of interval branch and bound methods for unco...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
Branch and Bound (B&B) algorithms in Global Optimization are used to perform an exhaustive search ov...
AbstractAn interval algorithm for bounding the solutions of a constrained global optimization proble...
International audienceBound constrained global optimization problems can be solved by interval branc...
International audienceWe study the problem of finding the global optimum of a nonlinear real functio...
Elements and techniques of state-of-the-art automatically verified constrained global optimization a...
Abstract. In validated branch and bound algorithms for global optimization, upper bounds on the glob...
Various algorithms can compute approximate feasible points or approximate solutions to equality and ...
Abstract. Global optimization subject to bound constraints helps answer many practical questions in ...
International audienceAn automatic method for constructing linear relaxations of constrained global ...
International audienceAn automatic method for constructing linear relaxations of constrained global ...
The talk gives an overview on the numerical test results of solving inequality constrained global op...
Since about thirty years, interval Branch and Bound algorithms are increasingly used to solve constr...
Since about thirty years, interval Branch and Bound algorithms are increasingly used to solve constr...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
Branch and Bound (B&B) algorithms in Global Optimization are used to perform an exhaustive search ov...
AbstractAn interval algorithm for bounding the solutions of a constrained global optimization proble...
International audienceBound constrained global optimization problems can be solved by interval branc...
International audienceWe study the problem of finding the global optimum of a nonlinear real functio...
Elements and techniques of state-of-the-art automatically verified constrained global optimization a...
Abstract. In validated branch and bound algorithms for global optimization, upper bounds on the glob...
Various algorithms can compute approximate feasible points or approximate solutions to equality and ...
Abstract. Global optimization subject to bound constraints helps answer many practical questions in ...
International audienceAn automatic method for constructing linear relaxations of constrained global ...
International audienceAn automatic method for constructing linear relaxations of constrained global ...
The talk gives an overview on the numerical test results of solving inequality constrained global op...
Since about thirty years, interval Branch and Bound algorithms are increasingly used to solve constr...
Since about thirty years, interval Branch and Bound algorithms are increasingly used to solve constr...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
This paper presents a novel construction technique for constrained nonconvex Nonlinear Programming P...
Branch and Bound (B&B) algorithms in Global Optimization are used to perform an exhaustive search ov...