Approximating fluid schedules in packet-switched networks

  • Authors:
  • Michael Aaron Rosenblum;Michel X. Goemans;Vahid Tarokh

  • Affiliations:
  • Massachusetts Institute of Technology;Massachusetts Institute of Technology;Massachusetts Institute of Technology

  • Venue:
  • Approximating fluid schedules in packet-switched networks
  • Year:
  • 2004

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Abstract

We consider a problem motivated by the desire to provide flexible, rate-based, quality of service guarantees for packets sent over switches and switch networks. Our focus is solving a type of on-line, traffic scheduling problem, whose input at each time step is a set of desired traffic rates through the switch network. These traffic rates in general cannot be exactly achieved since they treat the incoming data as fluid, that is, they assume arbitrarily small fractions of packets can be transmitted at each time step. The goal of the traffic scheduling problem is to closely approximate the given sequence of traffic rates by a sequence of switch uses throughout the network in which only whole packets are sent. We prove worst-case bounds on the additional delay and buffer use that result from using such an approximation. These bounds depend on the network topology, the resources available to the scheduler, and the types of fluid policy allowed. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.)