We identify the large deviation rate function for a single server with multi-class arrivals in which the service priority is determined according to the weighted-serve-the-longest-queue policy. The problem setup falls into the general category of systems with discontinuous statistics. Our analysis, which is largely based on a weak convergence approach, does not require any symmetry or dimensional restrictions.
|Original language||English (US)|
|Title of host publication||Progress in Probability|
|Number of pages||28|
|State||Published - 2008|
|Name||Progress in Probability|
Bibliographical notePublisher Copyright:
© 2008, Birkhäuser Verlag Basel/Switzerland.
- discontinuous statistics
- Large deviations
- service policy