On Polling Systems where Servers wait for Customers

Projet MEVALIn this paper, a particular polling system with $N$ queues and $V$ servers is analyzed. Whenever a server visits an empty queue, it waits for the next customer to come to this queue. A customer chooses his destination according to a routing matrix $P$. The model originates from specific problems arising in transportation networks. A global classification of the process describing the system is given under general assumptions. It is shown that this process can only be {\em transient} or {\em null recurrent}. In addition, a detailed classification of each node, together with limit laws (after proper time-scaling) are obtained. The method of analysis rel= ies on the central limit theorem and a coupling with a reference system in which transportation times are identically zero

Models for Transportation Networks

Projet MEVALVarious stochastic models are proposed for transportation networks, by increasing order of complexity. The mathematical tools rely on queueing theory and asymptotic analysis. The models are mainly applied to service vehicle systems, like PRAXITÈLE, but the methods used are far more reaching. In particular, asymptotic independence of nodes is proved in thermodynamical limit, i.e. when the volume of the system increases

Preliminary models for Moving Server Networks

Projet MEVALThree simple stochastic models are proposed for moving server networks, by increasing order of complexity. The mathematical tools rely on classical queueing theory and asymptotic analysis. These models are applied to service vehicle systems (like PRAXITELE)

Models for transportation networks

Theme 1 - Reseaux et systemes. Projet MEVALSIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1996 n.2834 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

Preliminary models for moving server networks

Programme 1SIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1995 n.2469 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc

On polling systems where servers wait for customers

Theme 1b - Reseaux et systemes. Projet MEVALSIGLEAvailable at INIST (FR), Document Supply Service, under shelf-number : 14802 E, issue : a.1996 n.3058 / INIST-CNRS - Institut de l'Information Scientifique et TechniqueFRFranc