Abstract We propose a random-subspace algorithmic framework for global optimization of Lipschitz-continuous objectives, and analyse its convergence using novel tools from conic integral geometry. X-REGO randomly projects, in sequential or simultaneous manner, the high-dimensional original problem into low-dimensional subproblems that can then be solved with any global, even local, solver. estim...

This chapter discusses some optimization issues from a business perspective in the context of the supply chain operations. We note that the term “global optimization” may have different meanings in different communities and we look at it from the business and classical optimization points of view. We present two real-world optimization problems which differ in scope and use them for our discuss...

One of the mostly used enhanced oil recovery methods is the injection of water or gas under pressure to maintain or reverse the declining pressure in a reservoir. Several parameters should be optimized in a fluid injection process. The usual optimizing methods evaluate several scenarios to find the best solution. Since it is required to run the reservoir simulator hundreds of times, the process...

ABS’I IiACT __ ___...l The traditional Query Modification appi oa(. h to query processing is inappropriate for views involving generalization. We use a combination of modification and materialization for queries over such isiews. Furthermore, by choosing modification or materialization ae part of global optimization, we permit more optimization than would be provided by a purely modifying appro...

Preparing the books to read every day is enjoyable for many people. However, there are still many people who also don't like reading. This is a problem. But, when you can support others to start reading, it will be better. One of the books that can be recommended for new readers is developments in global optimization nonconvex optimization and its applications. This book is not kind of difficul...

The paper deals with global constraints for hierarchical segmentations. The proposed framework associates, with an input image, a hierarchy of segmentations and an energy, and the subsequent optimization problem. It is the first paper that compiles the different global constraints and unifies them as Climbing energies. The transition from global optimization to local optimization is attained by...