AUTHOR(S): D. Barilla, G. Caristi, A. Puglisi

TITLE 
ABSTRACT In the previous papers [1] and [6] the authors introduced in the BuffonLaplace type problems socalled obstacles. They considered two lattices and considering a classic Buffon type problem introducing in the first moment the maximum value of probability, i.e. reducing the probability interval and in the second considering an irregular lattice. In [5] Caristi and Ferrara considered also a Buffon type problem considering the possibles deformations of the lattice and in [2] Caristi, Puglisi and Stoka considered another particular regular lattices with eight sides. Fengfan and Deyi [4] study similar problem using two concepts, the generalized support function and restricted chord function, both referring to the convex set, which were introduced by Delin in [3]. In this paper, we consider another particular irregular lattice (see fig. 1) and considering the formula of the kinematic measure of Poincar´e [7] and the result of Stoka [9] we study a Buffon problem for this irregular lattice. We determine the probability of intersection of a body test needle of length l, l < a/3. 
KEYWORDS Geometric probability, integral geometry, Buffon problem, lattice of regions, kinematic measure_x000D_ 
REFERENCES [1] D. Barilla, G. Caristi, A. Puglisi and M. Stoka, A BuffonLaplace type problems for an irregular lattice with maximum probability, Applied Mathematical Sciences, vol. 8 (2014),no. 165, pp. 82878293. 
Cite this paper D. Barilla, G. Caristi, A. Puglisi. (2018) On Buffon Needle Problem for an Irregular Lattice. International Journal of Economics and Management Systems, 3, 3638 
