Global optimization: A survey. (English) Zbl 0715.90086

New methods in optimization and their industrial uses, Proc. Symp., Pau/Fr. and Paris/Fr. 1987, ISNM, Int. Ser. Numer. Math. 87, 133-155 (1989).
[For the entire collection see Zbl 0679.00019.]
This is an expository paper on methods of global optimization. In an informal way the authors comment upon advantages and drawbacks of certain techniques, both deterministic and stochastic. Rather than reviewing concrete algorithms, the authors prefer discussing the underlying philosophy of methods such as branch and bound, approximation of the objective function, improvement of local minima, and enumeration of local minima.
Reviewer: W.Schirotzek


90C30 Nonlinear programming
90-02 Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming
65K05 Numerical mathematical programming methods


Zbl 0679.00019