A restless bandit formulation of opportunistic access: Indexablity and index policy

Keqin Liu*, Qing Zhao

*Corresponding author for this work

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

40 Citations (Scopus)

Abstract

We focus on an opportunistic communication system consisting of multiple independent channels with time-varying states. With limited sensing, a user can only sense and access a subset of channels and accrue rewards determined by the state of the sensed channels. We formulate the problem of optimal sequential channel probing as a restless multi-armed bandit process, for which a powerful index policy-Whittle's index policy-can be implemented based on the indexability of the system. Exploiting the underlying structure of the multi-channel opportunistic access problem, we establish the indexability and obtain the Whittle's index in closed-form, which leads to a direct implementation of Whittle's index policy with little complexity. Furthermore, we show that Whittle's index policy is equivalent to the myopic policy when channels are statistically identical.

Original languageEnglish
Title of host publication2008 5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks Workshops, SECON
DOIs
Publication statusPublished - 2008
Event5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks Workshops, SECON 2008 - San Francisco, CA, United States
Duration: 16 Jun 200820 Jun 2008

Publication series

Name2008 5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks Workshops, SECON

Conference

Conference5th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks Workshops, SECON 2008
Country/TerritoryUnited States
CitySan Francisco, CA
Period16/06/0820/06/08

Keywords

  • Indexability
  • Opportunistic access
  • Optimal channel probing
  • Restless multi-armed bandit
  • Whittle's index policy

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