THE TRANSPORT of electrical energy, the flow of fluids in open channels or in gas
pipelines, the light propagation in optical fibres, the motion of chemicals in plug flow …

This review paper is devoted to a brief overview of results and models concerning flows in
networks and channels of networks. First of all, we conduct a survey of the literature in …

We consider time-dependent (linear and nonlinear) Schrödinger equations in a
semiclassical scaling. These equations form a canonical class of (nonlinear) dispersive …

This interdisciplinary guide explores various types of modeling methods available for
dynamical systems. It begins with the general concepts, representations, and philosophy of …

We consider a supply chain consisting of a sequence of buffer queues and processors with
certain throughput times and capacities. Based on a simple rule for releasing parts, ie …

Modern manufacturing enterprises have invested in a variety of sensors and IT infrastructure
to increase plant floor information visibility. This offers an unprecedented opportunity to track …

High-volume, multistage continuous production flow through a re-entrant factory is modeled
through a conservation law for a continuous-density variable on a continuous-production …

In this paper, we consider supply chains modelled by partial and ordinary differential
equations, for densities of parts on suppliers and queues among consecutive arcs …

A mathematical model describing supply chains on a network is introduced. In particular,
conditions on each vertex of the network are specified. Finally, this leads to a system of …

This book is devoted to primarily continuous models for a special class of supply chains
often called production or supply networks. The aim is to present a mathematical description …