A Laplace type problem for regular lattices with circular section obstacles

Revista Română de Statistică

E. Saitta¹  D. Barilla¹  A. Femino¹  A. Puglisi¹  B. Toader² 

[1] Messina University;Universitatea Creştină “Dimitrie Cantemir”;

关键词: geometric probability;    integral geometry;    random convex sets;    random sets;    stochastic geometry;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown