Rewarded Access to a Sleeping Base Station

This letter proposes a rewarded access scheme that facilitates access of users to a sleeping base station (BS). In our system, an accessing user can wake up the sleeping BS upon his arrival and decides to join or balk, if his reward is greater than or equal to his waiting cost caused by set-up times of the sleeping BS. In particular, while a higher reward is given to users accessing to the sleeping BS, the BS in sleep mode earns less revenue compared to its working mode. With a game theoretic approach, this letter shows that there exists a pair of thresholds, in terms of the number of users in service or waiting, which is a pure strategy for users to take. Additionally, this letter shows the average revenue rate of a BS and how it can be maximized.