Special Session 16: 

On scaling limit of a cost in adhoc network model

Yukio NAGAHATA
Niigata University
Japan
Co-Author(s):    
Abstract:
We are interested in giving a mathematical formula of a cost in adhoc network model. In our model, the cost is formulated as an application of first-passage percolation and the motion of devices is random and an asymptotic density of devices is formulated by hydrodynamic limit. In this talk, we give an asymptotic of this cost by means of the cost of first-passage percolation and the solution of the partial differential equation given by hydrodynamic limit.