Accession Number:

ADA439481

Title:

Asymptotic Optimality of the Round--Robin Policy in Multipath Routing with Resequencing

Descriptive Note:

Technical research rept.

Corporate Author:

UNIVERSITY OF THESSALY VOLOS (GREECE)

Report Date:

2005-01-01

Pagination or Media Count:

33.0

Abstract:

We consider a model of a multipath routing system, where arriving customers are routed to a set of identical, parallel, single server queues, according to balancing policies operating without state information. After completion of service. customers are required to leave the system in their order of arrival, thus incurring an additional resequencing delay. We are interested in minimizing the end-to-end delay including time at the resequencing buffer experienced by arriving customers. To that end, we establish optimality of the Round-Robin routing assignment in two asymptotic regimes. namely heavy and light traffic In heavy traffic, Round-Robin customer assignment is shown to achieve the smallest in the increasing convex stochastic ordering end-to- end delay amongst all routing policies operating without queue state information. In light traffic, and for the special case of Poisson arrivals, we show that Round-Robin is again an optimal in the strong stochastic ordering routing policy. We illustrate these and suggest other stochastic comparison results in a number of simulation examples.

Subject Categories:

  • Statistics and Probability
  • Operations Research
  • Computer Systems

Distribution Statement:

APPROVED FOR PUBLIC RELEASE