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Sequential random packing in the plane

Published online by Cambridge University Press:  14 July 2016

Howard J. Weiner
Howard J. Weiner*
Affiliation:
University of California at Davis
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Abstract

The Palasti conjecture on the asymptotic mean proportion of coverage is verified for the sequential random packing of rectangular cars with sides parallel to rectangular boundaries in the models of Rényi and Solomon. The extension to n dimensions is given. An extension to a random car size model is indicated.

Keywords

SEQUENTIALRANDOM PACKINGASYMPTOTIC MEANINTEGRAL EQUATIONSGEOMETRIC PROBABILITY
Type
Research Papers
Information
Journal of Applied Probability , Volume 15 , Issue 4 , December 1978 , pp. 803 - 814
Copyright
Copyright © Applied Probability Trust 1978 

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References

[1] Blaisdell, B. E. and Solomon, H. (1970) On random sequential packing in the plane and a conjecture of Palasti. J. Appl. Probe 7, 667–698.Google Scholar
[2] Mullooly, J. P. (1968) A one-dimensional random space filling problem. J. Appl. Prob. 5, 427–435.Google Scholar
[3] Solomon, H. (1966) Random packing density. Proc. 5th Berkeley Symp. Math. Statist. Prob. 3, 119–134.Google Scholar