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On The Optimality of Myopic Sensing in Multi-State Channels

2013/05/30 by Yi Ouyang, Ouyang, Yi, Demosthenis Teneketzis +1
Computer Science · Decision Sciences · #Advanced Bandit Algorithms Research #Age of Information Optimization #Cognitive Radio Networks and Spectrum Sensing #FOS: Computer and information sciences #FOS: Electrical engineering #Information Theory (cs.IT) #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1305.6993

openalex publication_date 2013/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We consider the channel sensing problem arising in opportunistic scheduling over fading channels, cognitive radio networks, and resource constrained jamming. The communication system consists of N channels. Each channel is modeled as a multi-state Markov chain (M.C.). At each time instant a user selects one channel to sense and uses it to transmit information. A reward depending on the state of the selected channel is obtained for each transmission. The objective is to design a channel sensing policy that maximizes the expected total reward collected over a finite or infinite horizon. This problem can be viewed as an instance of a restless bandit problem, for which the form of optimal policies is unknown in general. We discover sets of conditions sufficient to guarantee the optimality of a myopic sensing policy; we show that under one particular set of conditions the myopic policy coincides with the Gittins index rule.

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