Selfish Routing with Oblivious Users

  • George Karakostas
  • Taeyon Kim
  • Anastasios Viglas
  • Hao Xia
Conference paper

DOI: 10.1007/978-3-540-72951-8_25

Part of the Lecture Notes in Computer Science book series (LNCS, volume 4474)
Cite this paper as:
Karakostas G., Kim T., Viglas A., Xia H. (2007) Selfish Routing with Oblivious Users. In: Prencipe G., Zaks S. (eds) Structural Information and Communication Complexity. SIROCCO 2007. Lecture Notes in Computer Science, vol 4474. Springer, Berlin, Heidelberg

Abstract

We consider the problem of characterizing user equilibria and optimal solutions for selfish routing in a given network. We extend the known models by considering users oblivious to congestion. While in the typical selfish routing setting the users follow a strategy that minimizes their individual cost by taking into account the (dynamic) congestion due to the current routing pattern, an oblivious user ignores congestion altogether. Instead, he decides his routing on the basis of cheapest routes on a network without any flow whatsoever. These cheapest routes can be, for example, the shortest paths in the network without any flow. This model tries to capture the fact that routing tables for at least a fraction of the flow in large scale networks such as the Internet may be based on the physical distances or hops between routers alone. The phenomenon is similar to the case of traffic networks where a certain percentage of travelers base their route simply on the distances they observe on a map, without thinking (or knowing, or caring) about the delays experienced on this route due to their fellow travelers. In this work we study the price of anarchy of such networks, i.e., the ratio of the total latency experienced by the users in this setting over the optimal total latency if all users were centrally coordinated.

Keywords

Selfish routing price of anarchy oblivious users 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • George Karakostas
    • 1
  • Taeyon Kim
    • 1
  • Anastasios Viglas
    • 2
  • Hao Xia
    • 1
  1. 1.McMaster University, Dept. of Computing and Software, 1280 Main St. West, Hamilton, Ontario L8S 4K1Canada
  2. 2.University of Sydney, School of Information Technologies, Madsen Building F09, The University of Sydney, NSW 2006Australia

Personalised recommendations