Static throughput optimal scheduling for wireless multicast

Wireless multicast can exploit both multiuser diversity and broadcast gain together simultaneously, which are the special virtues of wireless communication. However, we have to adopt appropriate tradeoff between multiuser diversity gain and broadcast gain in order to achieve optimal system throughput. This paper studied the problem of wireless multicast scheduling, and proposed a static optimal wireless scheduling algorithm which achieve optimal throughput in sense of probability. This scheme determines the optimal threshold of the channel gain and the optimal number of active users according to the probability distribution function of the envelope of the fading channel. The system throughput of the scheme can approach the upper bounder of system throughput if the number of the system is large enough. Only when the average SNR (signal to noise ratio) changes the scheme has to adjust the multicast threshold and number of users. It has a very low complexity, and is easy to implement. At last, we prove the proposed algorithm achieve higher system throughput than other multicast algorithms by simulations.