The expected number of extreme points of a random linear program
نویسندگان
چکیده
منابع مشابه
The expected number of extreme points of a random linear program
There has been increasing attention recently on average case algorithmic performance measures since worst case measures can be qualitatively quite different. An important characteristic of a linear program, relating to Simplex Method performance, is the number of vertices of the feasible region. We show 2 ~ to be an upper bound on the mean number of extreme points of a randomly generated feasib...
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Absfract: Let EN, be the expected number of extreme points among n i.i.d. points with a common radially symmetric distribution in the plane. We show that for any monotone sequence wn t co and for every e z 0, there exists a radially symmetric distribution for which EN,, 2 n/w,, infinitely often and EN, d 4+ E infinitely often. In addition, there exists a unimodal radially symmetric density such...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 1986
ISSN: 0025-5610,1436-4646
DOI: 10.1007/bf01580643