A Laplace type problem for regular lattices with circular section obstacles

D. Barilla
A. Femino
A. Puglisi
E. Saitta
Universitatea din Messina
B. Toader
Universitatea Creştină “Dimitrie Cantemir”

In this paper, we compute the probability that a segment of random position and of constant length intersects a side of a regular lattice with circular sections obstacles. In particular, we obtain the formula of a probability already computed by Caristi and Stoka, as well as the formula of the Laplace probability. The results can be used for possible applications in economy and engineering, in particular for transportation problems.

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Romanian Statistical Review 11/2013