We consider a model of randomness for self-similar Cantor sets finite and positive 1-Hausdorff measure. find the sharp rate decay probability that Buffon needle lands δ-close to set this particular randomness. Two quite different models sets, by Peres Solomyak, Shiwen Zhang, appear have same order probability: clog⁡1δ. In note, we prove third randomness, which asserts vague feeling any “reasona...

In this paper, we discuss two variants of the generalized nonlinear vector variational-like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in proof. The admissibility function space topology KKM-Theorem have played important role proving results.

The open vehicle routing problem (OVRP) is a variance of the vehicle routing problem (VRP) that has a unique character which is its open path form. This means that the vehicles are not required to return to the depot after completing service. Because this problem belongs to the NP-hard problems, many metaheuristic approaches like the ant colony optimization (ACO) have been used to solve OVRP in...