State of the art in global optimization: computational methods and applications

TLDR: A Finite Algorithm for Global Minimization of Separable Concave Programs and Accelerating Convergence of Branch-and-Bound Algorithms for Quadratically Constrained Optimization Problems.

Abstract: Preface. Lagrange Duality in Partly Convex Programming S. Zlobec. Global Optimization Using Hyperbolic Cross Points E. Novak, K. Ritter. Global Minimization of Separable Concave Functions under Linear Constraints with Totally Unimodular Matrices R. Horst, N. Van Thoai. On Existence of Robust Minimizers S. Shi, et al. A Branch and Bound Algorithm for the Quadratic Assignment Problem Using a Lower Bound Based on Linear Programming K.G. Ramakrishan, et al. Dynamic Matrix Factorization Methods for Using Formulations Derived from Higher Order Lifting Techniques in the Solution of the Quadratic Assignment Problem B. Ramachandran, J.K. Pekny. Conical Coercivity Conditions and Global Minimization on Cones. An Existence Result G. Isac. The Use of Ordinary Differential Equations in Quadratic Maximization with Integer Constraints P. Maponi, et al. Adaptive Control via Non-Convex Optimization G.H. Staus, et al. A Decomposition-Based Global Optimization Approach for Solving Bilevel Linear and Quadratic Problems V. Visweswaran, et al. Generalized TRUST Algorithms for Global Optimization J. Barhen, V. Protopopescu. Test Results for an Interval Branch and Bound Algorithm for Equality-Constrained Optimization R.B. Kearfott. Equivalent Methods for Global Optimization D. MacLagan et al. A C++ Class Library for Interval Arithmetic in Global Optimization K. Holmqvist, A. Migdalas. On the Convergence of Localisation Search D.W. Bulger, G.R. Wood. Stochastic Approximation with Smoothing for Optimization of an Adaptive Recursive Filter W. Edmonson, et al. The Grouping Genetic Algorithm E. Falkenauer. Accelerating Convergence of Branch-and-Bound Algorithms for Quadratically Constrained Optimization Problems T. Van Voorhis, F. Al-Khayyal. Distributed Decomposition-based Approaches in Global Optimization I.P. Androulakis, et al. A Finite Algorithm for Global Minimization of Separable Concave Programs J.P. Shectman, N.V. Sahinidis. A Pseudo e-Approximate Algorithm for Feedback Vertex Set T. Qian, et al. Iterative Topographical Global Optimization A. Torn, S. Viitanen. Global Optimization for the Chemical and Phase Equilibrium Problem Using Interval Analysis K.I.M. McKinnon, et al. Nonconvex Global Optimization of the Separable Resource Allocation Problem with Continuous Variables E. Haddad. A d.c. Approach to the Largest Empty Sphere Problem in Higher Dimension J. Shi, Y. Yoshitsugu. A General D.C. Approach to Location Problems H. Tuy. Global Optimization by Parallel Constrained Biased Random Search I. Garcia, G.T. Herman. Global Optimization Problem in Computer Vision P. Sussner, et al. An Application of Optimization to the Problem of Climate Change J.A. Filar, et al. Dynamic Visualization in Modelling and Optimization of Ill Defined Problems W.F. Eddy, A. Mockus. A New Global Optimization Algorithm for Batch Process Scheduling L. Mockus, G.V. Reklaitis. Nonconvexity and Decent in Nonlinear Programming A. Lucia, J. Xu. Global Optimization of Chemical Processes Using Stochastic Algorithms J.R. Banga, W.D. Seider. Logic-Based Outer- Approximation and Benders Decomposition Algorithms for the Synthesis of Process Networks M. Turkay, I.E. Grossmann. Combinatorially Accelerated Branch-and-Bound Method for Solving the MIP Model of Process Network Synthesis F. Friedler, et al. Discrete Optimization Using String Encodings for the Synthesis of Complete Chemical Processes E.S. Fraga.