Towards "Ideal Multistart". A stochastic approach for locating the minima of a continuous function inside a bounded domain

[1]  V. K. Chichinadze The Ψ-transform for solving linear and non-linear programming problems , 1969, Autom..

[2]  David Mautner Himmelblau,et al.  Applied Nonlinear Programming , 1972 .

[3]  B. Shubert A Sequential Method Seeking the Global Maximum of a Function , 1972 .

[4]  K. Jim Radford,et al.  Stochastic Optimization Models in Finance , 1976 .

[5]  H. Zimmermann Towards global optimization 2: L.C.W. DIXON and G.P. SZEGÖ (eds.) North-Holland, Amsterdam, 1978, viii + 364 pages, US $ 44.50, Dfl. 100,-. , 1979 .

[6]  A. Griewank Generalized descent for global optimization , 1981 .

[7]  Alexander H. G. Rinnooy Kan,et al.  A stochastic method for global optimization , 1982, Math. Program..

[8]  A. V. Levy,et al.  The Tunneling Algorithm for the Global Minimization of Functions , 1985 .

[9]  M. E. Johnson,et al.  Generalized simulated annealing for function optimization , 1986 .

[10]  G. T. Timmer,et al.  Stochastic global optimization methods part I: Clustering methods , 1987, Math. Program..

[11]  Alexander H. G. Rinnooy Kan,et al.  Bayesian stopping rules for multistart global optimization methods , 1987, Math. Program..

[12]  G. T. Timmer,et al.  Stochastic global optimization methods part II: Multi level methods , 1987, Math. Program..

[13]  M. Saunders Stochastic exploration of molecular mechanics energy surfaces. Hunting for the global minimum , 1987 .

[14]  D. Ackley A connectionist machine for genetic hillclimbing , 1987 .

[15]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[16]  Aimo A. Törn,et al.  Global Optimization , 1999, Science.

[17]  M. Piccioni,et al.  Random tunneling by means of acceptance-rejection sampling for global optimization , 1989 .

[18]  Christodoulos A. Floudas,et al.  Deterministic Global Optimization , 1990 .

[19]  Panos M. Pardalos,et al.  A Collection of Test Problems for Constrained Global Optimization Algorithms , 1990, Lecture Notes in Computer Science.

[20]  Eldon Hansen,et al.  Global optimization using interval analysis , 1992, Pure and applied mathematics.

[21]  R. Horst,et al.  Global Optimization: Deterministic Approaches , 1992 .

[22]  L. Dixon,et al.  Parallel algorithms for global optimization , 1993 .

[23]  C. Storey,et al.  Topographical Multilevel Single Linkage , 1994, J. Glob. Optim..

[24]  Aimo A. Törn,et al.  Topographical global optimization using pre-sampled points , 1994, J. Glob. Optim..

[25]  W. Hart Adaptive global optimization with local search , 1994 .

[26]  Christodoulos A Floudas,et al.  Global minimum potential energy conformations of small molecules , 1994, J. Glob. Optim..

[27]  P. Pardalos,et al.  Handbook of global optimization , 1995 .

[28]  Zbigniew Michalewicz,et al.  Genetic Algorithms + Data Structures = Evolution Programs , 1996, Springer Berlin Heidelberg.

[29]  Anthony A. Giunta,et al.  Aircraft Multidisciplinary Design Optimization using Design of Experiments Theory and Response Surface Modeling Methods , 1997 .

[30]  T. Budinger,et al.  Multistart optimisation algorithm for joint spatial and kinetic parameter estimation in dynamic ECT , 1998, 1998 IEEE Nuclear Science Symposium Conference Record. 1998 IEEE Nuclear Science Symposium and Medical Imaging Conference (Cat. No.98CH36255).

[31]  Dimitris Bertsimas,et al.  Portfolio construction through mixed integer programming , 1998 .

[32]  X. Yao,et al.  Combining landscape approximation and local search in global optimization , 1999, Proceedings of the 1999 Congress on Evolutionary Computation-CEC99 (Cat. No. 99TH8406).

[33]  H. Scheraga,et al.  Global optimization of clusters, crystals, and biomolecules. , 1999, Science.

[34]  Fabio Schoen,et al.  Random Linkage: a family of acceptance/rejection algorithms for global optimisation , 1999, Math. Program..

[35]  D. Iglehart,et al.  Optimization of a Trading System using Global Search Techniques and Local Optimization , 1999 .

[36]  Christodoulos A. Floudas,et al.  Deterministic global optimization - theory, methods and applications , 2010, Nonconvex optimization and its applications.

[37]  P. Pardalos,et al.  Optimization in computational chemistry and molecular biology : local and global approaches , 2000 .

[38]  Albert A. Groenwold,et al.  Multiple Parallel Local Searches in Global Optimization , 2000, PVM/MPI.

[39]  R. Rockafellar,et al.  Optimization of conditional value-at risk , 2000 .

[40]  P. Pardalos,et al.  Recent developments and trends in global optimization , 2000 .

[41]  Dr.-Ing. Hartmut Pohlheim Genetic and Evolutionary Algorithm Toolbox for Matlab , 2000 .

[42]  H. van de Waterbeemd,et al.  Property-based design: optimization of drug absorption and pharmacokinetics. , 2001, Journal of medicinal chemistry.

[43]  F. Schoen TWO-PHASE METHODS FOR GLOBAL OPTIMIZATION , 2002 .

[44]  Goldberg,et al.  Genetic algorithms , 1993, Robust Control Systems with Genetic Algorithms.

[45]  R. Mayne,et al.  An approach to multi‐start clustering for global optimization with non‐linear constraints , 2002 .

[46]  Dimitris G. Papageorgiou,et al.  PANMIN: sequential and parallel global optimization procedures with a variety of options for the local search strategy ✩ , 2004 .

[47]  Leo Liberti,et al.  Comparison of deterministic and stochastic approaches to global optimization , 2005, Int. Trans. Oper. Res..

[48]  Christodoulos A. Floudas,et al.  Deterministic Global Optimization: Theory, Methods and (NONCONVEX OPTIMIZATION AND ITS APPLICATIONS Volume 37) (Nonconvex Optimization and Its Applications) , 2005 .

[49]  Marco Locatelli,et al.  On the Multilevel Structure of Global Optimization Problems , 2005, Comput. Optim. Appl..

[50]  Zelda B. Zabinsky,et al.  A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems , 2005, J. Glob. Optim..

[51]  Jing J. Liang,et al.  Dynamic multi-swarm particle swarm optimizer , 2005, Proceedings 2005 IEEE Swarm Intelligence Symposium, 2005. SIS 2005..

[52]  John C. Plummer,et al.  Scatter Search and Local Nlp Solvers: A Multistart Framework for Global Optimization , 2006 .

[53]  Isaac E. Lagaris,et al.  Program Summary , 1986, PMLA/Publications of the Modern Language Association of America.

[54]  Sudhanshu K. Mishra,et al.  Some New Test Functions for Global Optimization and Performance of Repulsive Particle Swarm Method , 2006 .

[55]  Fred W. Glover,et al.  Scatter Search and Local Nlp Solvers: A Multistart Framework for Global Optimization , 2006, INFORMS J. Comput..

[56]  Isaac E. Lagaris,et al.  Stopping rules for box-constrained stochastic global optimization , 2008, Appl. Math. Comput..

[57]  Ke Chen,et al.  Applied Mathematics and Computation , 2022 .