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Boender, C. G. E.; Rinnoy Kan, A. H. G.; Timmer, G. T.; Stougie, L.

A stochastic method for global optimization. (English) Zbl 0525.90076

Math. Program. 22, 125-140 (1982).
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Cited in 52 Documents

MSC:

90C30 Nonlinear programming
65K05 Numerical mathematical programming methods
49M37 Numerical methods based on nonlinear programming
65K10 Numerical optimization and variational techniques
62H30 Classification and discrimination; cluster analysis (statistical aspects)

Keywords:

confidence interval; stochastic method; global optimization; random sampling; clustering; local search; computational experience; comparison of algorithms
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\textit{C. G. E. Boender} et al., Math. Program. 22, 125--140 (1982; Zbl 0525.90076)
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References:

[1] F. Archetti, B. Betro and S. Steffe, ”A theoretical framework for global optimization via random sampling”, Tech. Rept., University of Pisa (1975).
[2] L. De Biase and F. Frontini, ”A stochastic method for global optimization: its structure and numerical performance”, in: L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation 2 (North-Holland, Amsterdam, 1978) pp. 85–102. · Zbl 0396.90082
[3] L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation (North-Holland, Amsterdam, 1975). · Zbl 0309.90052
[4] L.C.W. Dixon, J. Gomulka and G.P. Szegö, ”Towards global optimisation”, in: L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation (North-Holland, Amsterdam, 1975) pp. 29–54.
[5] L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation 2 (North-Holland, Amsterdam, 1978).
[6] L.C.W. Dixon and G.P. Szegö, ”The global optimisation problem: an introduction”, in: L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation 2 (North-Holland, Amsterdam, 1978) pp. 1–18.
[7] W. Eberl and R. Hafner, ”Die asymptotische Verteilung von Koinzidenzen”,Zeitschrift für Wahrscheinlichkeitsrechnung 18 (1971) 322–332. · Zbl 0204.51403
[8] B. Everitt,Cluster analysis (Heinmann, London, 1974). · Zbl 0507.62060
[9] J. Gomulka, ”Two implementations of Branin’s method: Numerical experience”, in: L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation 2 (North-Holland, Amsterdam, 1978) pp. 151–164. · Zbl 0407.90075
[10] L. De Haan, ”Estimation of the minimum of a function using order statistics”, Tech. Rept., Erasmus University, Rotterdam (1979).
[11] G. van der Hoek and M.W. Dijkshoorn, ”A numerical comparison of self scaling variable metric algorithms”, Tech. Rept., Erasmus University, Rotterdam (1979).
[12] A. Kester, ”Asymptotic normality of the number of small distances between random points in a cube”,Stochastic processes and their Applications 3 (1975) 45–54. · Zbl 0307.60021
[13] W.L. Price, ”A controlled random search procedure for global optimisation”, in: L.C.W. Dixon and G.P. Szegö, eds.,Towards global optimisation 2 (North-Holland, Amsterdam, 1978) pp. 71–84. · Zbl 0394.90092
[14] A.A. Törn, ”Cluster analysis using seed points and density-determined hyperspheres with an application to global optimization”,Proceedings of 3rd International Joint Conference on Pattern Recognition (IEEE Computer Society, Silver Spring, MD, 1976) pp. 394–398.
[15] A.A. Törn, ”Optimality by means of confidence”, Technical report, Åbo Swedish University School of Economics (1979).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.