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Universal Stability Results for Greedy ContentionResolution Protocols \Lambda Matthew Andrews y Baruch Awerbuch z Antonio Fernandez x Jon Kleinberg --Tom Leighton k
 

Summary: Universal Stability Results for Greedy Contention­Resolution Protocols \Lambda
Matthew Andrews y Baruch Awerbuch z Antonio Fern’andez x Jon Kleinberg -- Tom Leighton k
Zhiyong Liu \Lambda\Lambda
Abstract
In this paper, we analyze the behavior of communication
networks in which packets are generated dynamically at the
nodes and routed in discrete time steps across the edges. We
focus on a basic adversarial model of packet generation and
path determination for which the time--averaged injection rate
of packets requiring the use of any edge is limited to be less
than 1. A crucial issue that arises in such a setting is that of
stability --- will the number of packets in the system remain
bounded, as the system runs for an arbitrarily long period of
time?
Among other things, we show:
(i) There exist simple greedy protocols that are stable for all
networks.
(ii) There exist other commonly--used protocols (such as
FIFO) and networks (such as arrays and hypercubes)
that are not stable.

  

Source: Andrews, Matthew - Mathematics of Networks and Systems, Mathematical Sciences Research Center, Bell Laboratories

 

Collections: Mathematics; Computer Technologies and Information Sciences