TY - BOOK AU - Audet,Charles AU - Hansen,Pierre AU - Savard,Gilles ED - SpringerLink (Online service) TI - Essays and Surveys in Global Optimization SN - 9780387255705 U1 - 658.40301 23 PY - 2005/// CY - Boston, MA PB - Springer US KW - ECONOMICS KW - COMPUTER SCIENCE KW - MATHEMATICS KW - MATHEMATICAL OPTIMIZATION KW - OPERATIONS RESEARCH KW - INDUSTRIAL ENGINEERING KW - ECONOMICS/MANAGEMENT SCIENCE KW - OPERATIONS RESEARCH/DECISION THEORY KW - OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING KW - OPTIMIZATION KW - MATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS KW - INDUSTRIAL AND PRODUCTION ENGINEERING KW - COMPUTATIONAL MATHEMATICS AND NUMERICAL ANALYSIS N1 - 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 -- Bilevel Programming -- Applications of Global Optimization to Portfolio Analysis -- Optimization Techniques in Medicine -- Global Optimization in Geometry - Circle Packing into the Square -- A Deterministic Global Optimization Algorithm for Design Problems N2 - 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 UR - http://dx.doi.org/10.1007/b135610 ER -