@article{(Open Science Index):https://publications.waset.org/pdf/6040,
	  title     = {Probability of Globality},
	  author    = {Eva Eggeling and  Dieter W. Fellner and  Torsten Ullrich},
	  country	= {},
	  institution	= {},
	  abstract     = {The objective of global optimization is to find the
globally best solution of a model. Nonlinear models are ubiquitous
in many applications and their solution often requires a global
search approach; i.e. for a function f from a set A ⊂ Rn to
the real numbers, an element x0 ∈ A is sought-after, such that
∀ x ∈ A : f(x0) ≤ f(x). Depending on the field of application,
the question whether a found solution x0 is not only a local minimum
but a global one is very important.
This article presents a probabilistic approach to determine the
probability of a solution being a global minimum. The approach is
independent of the used global search method and only requires a
limited, convex parameter domain A as well as a Lipschitz continuous
function f whose Lipschitz constant is not needed to be known.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {7},
	  number    = {1},
	  year      = {2013},
	  pages     = {36 - 40},
	  ee        = {https://publications.waset.org/pdf/6040},
	  url   	= {https://publications.waset.org/vol/73},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 73, 2013},
	}