Nested Partitions Method for Global Optimization

References

• Baba N., Shoman T., Sawaragi Y. A modified convergence theorem for a random optimization method. Information Sci. (1977) 13:159–166Crossref, Google Scholar
• Benson H. P., Eranguc S. S., Horst R. A note on adapting methods for continuous global optimization to the discrete case. Ann. Oper. Res. (1990) 25:243–252Crossref, Google Scholar
• Boender C. G. E., Rinnooy Kan H. G. On when to stop sampling for the maximum. J. Global Optim. (1991) 1:331–340Crossref, Google Scholar
• Boender C. G. E., Romeijn H. E., Pardalos Horst. Stochastic methods. Handbook of Global Optimization (1995) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar
• De Haan L. Estimation of the minimum of a function using order statistics. J. Amer. Statist. Assoc. (1981) 76:467–469Crossref, Google Scholar
• Ho Y. C., Sreenivas R. S., Vakili P. Ordinal optimization of DEDS. Discrete Event Dynamic Systems: Theory and Applications (1992) 2:61–88Crossref, Google Scholar
• Hoel P. G., Port S. C., Stone C. J.Introduction to Stochastic Processes (1972) (Waveland Press, Prospect Heights, IL) Google Scholar
• Horst R., Tuy H.Global Optimization: Deterministic Approaches (1990) (Springer-Verlag, New York) Crossref, Google Scholar
• Horst R., Pardalos P. M.Handbook of Global Optimization (1995) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar
• Matyas J. Random optimization. Automation and Remote Control (1965) 26:246–253Google Scholar
• Romeijn H. E., Smith R. L. Simulated annealing for constrained global optimization. J. Global Optim. (1994) 5:101–126Crossref, Google Scholar
• Schoen F. Stochastic techniques for global optimization. J. Global Optim. (1991) 1:207–228Crossref, Google Scholar
• Shi L., Ólafsson S. Nested partitions method for stochastic optimization. (1988) . Technical Report. Department of Industrial Engineering, University of Wisconsin, Madison, WIGoogle Scholar
• Shi L., Ólafsson S., Sun N. A new parallel randomized algorithms for the traveling salesman problem. Comput. Oper. Res. (1999) 26:371–394Crossref, Google Scholar
• Solis F. J., Wets R. J-B. Minimization by random search techniques. Math. Oper. Res. (1981) 6:19–30Link, Google Scholar
• Tang Z. B. Adaptive partitioned random search to global optimization. IEEE. Trans. Automatic Control (1994) 39:2235–2244Crossref, Google Scholar
• Törn A., Žilinskas A.Global Optimization (1989) (Springer-Verlag, New York) Crossref, Google Scholar
• Zabinsky Z. B., Smith R. L. Pure adaptive search in global optimization. Math. Programming (1992) 53:323–338Crossref, Google Scholar
• Zabinsky Z. B., Wood G. R., Steel M. A., Baritompa W. P. Pure adaptive search for finite global optimization. Math. Programming (1995) 69:443–448Crossref, Google Scholar
• Zhigljavsky A. A.Theory of Global Random Search (1991) (Kluwer Academic Publishers, Norwell, MA) Crossref, Google Scholar