منابع مشابه
Packing circles within ellipses
The problem of packing circles within ellipses is considered in the present paper. A new parametrization is employed by means of which the ellipse is represented by a rectangle. Algorithms with global convergence properties are presented. Numerical experiments are exhibited.
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For the numerical tests, we consider a disk with radius 2 at distance of 3 from the origin. We also consider different rotations of the disk over its center, so it forms an angle θ with the direction to the origin. Specifically, we consider the rotation from 0 to π/2 radians, since due to symmetry all the other possible rotations are equivalent. The computed values are collected in Table S1, wh...
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A set of ellipses, with given semi-major and semi-minor axes, is to be cut from a rectangular design plate, while minimizing the area of the design rectangle. The design plate is subject to lower and upper bounds of its widths and lengths; the ellipses are free of any orientation restrictions. We present new mathematical programming formulations for this ellipse cutting problem. The key idea in...
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UBBY and LEWONTIN (1966; LEWONTIN and HUBBY 1966) have demonstrated the probability that a population of diploid organisms can support more than an estimated 1000 polymorphisms. Their calculations agree with those of KIMURA and CROW (1964) and VAN VALEN (1963) in indicating that such widespread polymorphism cannot be maintained through single locus heterosis without entailing an absurdly high s...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1986
ISSN: 0012-365X
DOI: 10.1016/0012-365x(86)90018-x