A Laplace type problem for regular lattices with circular section obstacles

D. Barilla, A. Puglisi, E. Saitta, A. Femino and B. Toader
Additional contact information
D. Barilla: Universitatea din Messina
A. Puglisi: Universitatea din Messina
E. Saitta: Universitatea din Messina
A. Femino: Universitatea din Messina
B. Toader: Universitatea Crestina “Dimitrie Cantemir”

Romanian Statistical Review, 2013, vol. 61, issue 11, 53-60

Abstract: 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.

Keywords: geometric probability; integral geometry; random convex sets; random sets; stochastic geometry (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:rsr:journl:v:61:y:2013:i:11:p:53-60

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