Note: An adversarial queueing model for online server routing

  • Authors:
  • Vincenzo Bonifaci

  • Affiliations:
  • Dip. di Informatica e Sistemistica, Università di Roma La Sapienza, Rome, Italy and Department of Mathematics and Computer Science, Technical University Eindhoven, Eindhoven, The Netherlands

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2007

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Abstract

In an online server routing problem, a vehicle or server moves in a network in order to process incoming requests at the nodes. Online server routing problems have been thoroughly studied using competitive analysis. We propose a new model for online server routing, based on adversarial queueing theory. The model addresses questions such as whether a server routing algorithm is stable, that is, whether it is such that the number of unserved requests in the system remains bounded at all times, assuming a bound on the global rate of requests arrival. This captures a notion of throughput for which competitive analysis typically does not give any useful result. In this framework, we consider a number of natural algorithms and we analyze their stability and performance.