We derive a law of large numbers for a tagged particle in the
one-dimensional totally asymmetric simple exclusion process under a scaling
different from the usual Euler scaling. By interpreting the particles as the
servers of a series of queues we use this result to verify an open conjecture
about the scaling behavior of the departure times from a long series of
queues.
Publié le : 1997-11-14
Classification:
Hydrodynamic limit,
exclusion process,
queues in series,
60K35,
60K25
@article{1043862414,
author = {Sepp\"al\"ainen, Timo},
title = {A scaling limit for queues in series},
journal = {Ann. Appl. Probab.},
volume = {7},
number = {1},
year = {1997},
pages = { 855-872},
language = {en},
url = {http://dml.mathdoc.fr/item/1043862414}
}
Seppäläinen, Timo. A scaling limit for queues in series. Ann. Appl. Probab., Tome 7 (1997) no. 1, pp. 855-872. http://gdmltest.u-ga.fr/item/1043862414/