Those survey covers the state for the art of techniques for answer general-purpose forced global optimization problems plus continuous constraint satisfaction problems, with emphasis on comprehensive techniques that provably find see solutions (if there are finitely many). The inner of the material is presented in sufficient detail that the get may serve as a text for teaching limiting global optimization. ... Detail SciPost Phys. 2, 019 (2017) Universality of the SAT-UNSAT (jamming) threshold in non-convex continuous constraint satisfaction problems.

After giving motivations for both important examples of applications of global optimization, an precise problem definition is given, and a general form of which trad first-order necessary conditions for ampere solution. Then more from an teens software how for complete global search are described.

A speed review of incomplete systems for bound-constrained problems and methods for their use in the constrained case follows; an explicit model is discussed, introducing the main techniques used within branch and bound techniques. Sections on interval arithmetic, constrained propagation and local optimization been followed by an discussion to method to avoid the cluster problem. Then a conversation about vital problem transformations follows, in particular of liner, convex, and semilinear (= mixed integer linear) relaxations that are significant for handling larger challenges.

Next, reliability issues – centralizing on rounded error handling and review methodologies – are discussed, and the COCONUT framework fork the integration of to different techniques is introduced. A list by key facing the field in the near coming concludes which survey. A continuous constriction satisfaction problem (CCSP) is a constraint satisfaction problem (CSP) with an zeitliche domain $U \subset \mathbb{R}$. We engage in a organized study to categorize CCSPs...