Essays and Surveys in Global Optimization [Paperback]

Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solutions are found, proof of its optimality is also expected from this methodology. Therefore, with these difficulties in mind, global optimization is becoming an increasingly powerful and important methodology. Essays and Surveys in Global Optimization is the most recent examination of its mathematical capability, power, and wide ranging solutions to many fields in the applied sciences.

Global optimization aims at solving the most general problem of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solution is found, proof of its optimality is also expected from this methodology. ESSAYS AND SURVEYS IN GLOBAL OPTIMIZATION is the most recent examination of its mathematical capability, power, and wide ranging solution to many fields in the applied sciences.

In a series of topical chapters, the first section of the book appraises the mathematical properties and algorithms for general global optimization problems. These include chapters on Unilateral Analysis and Duality ; Monotonic Optimization: Branch and Cut Methods ; Duality Bound Methods in Global Optimization ; General Quadratic Programming ; On Solving Polynomial, Factorable, and Black-Box Optimization Problems using the RLT Methodology ; and Bilevel Programming. The books second section offers a variety of current application chapters where global optimization has been applied to l³Z