Ciro D’Apice

Packet Flow on Telecommunication Networks

The aim of this paper is to introduce a macroscopic fluid dynamic model dealing with the flow of information on a telecommunication network encoded in packets. Taking an intermediate time and space scale, we propose a model similar to that introduced recently for car traffic; see [G. M. Coclite, M. Garavello, and B. Piccoli, SIAM J. Math. Anal., 36 (2005), pp. 1862–1886]. For dynamics at nodes we consider two “routing algorithms” and prove existence of solutions to Cauchy problems. The main difference among the two algorithms is the possibility of redirecting packets of the second algorithm, which in turn implies stability, i.e., Lipschitz continuous dependence on initial data, not granted for solutions using the first algorithm.

A continuum-discrete model for supply chains dynamics

This paper is focused on continuum-discrete models for supply chains. In particular, we consider the model introduced in [10], where a system of conservation laws describe the evolution of the supply chain status on sub-chains, while at some nodes solutions are determined by Riemann solvers. Fixing the rule of flux maximization, two new Riemann Solvers are defined. We study the equilibria of the resulting dynamics, moreover some numerical experiments on sample supply chains are reported. We provide also a comparison, both of equilibria and experiments, with the model of [15].

Asymptotic analysis of a perturbed parabolic problem in a thick junction of type 3:2:2

We consider a perturbed initial/boundary-value problem for the heat equation in a thick multi-structure

Homogenization of 3D thick cascade junction with a random transmission zone periodic in one direction

\Omega_{\varepsilon}

Product form solution for exponential G-networks with dependent service and completion of service of killed customers

which is the union of a domain

Semi-active RFID Devices for Traceability

\Omega_0

First Order ODEs: Mathematica and Symbolic-Numerical Methods

and a large number

Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system

N

Pointwise and uniform power series convergence

of

MODELLING SUPPLY NETWORKS WITH PARTIAL DIFFERENTIAL EQUATIONS

\varepsilon-