Peng-Jun Wan, Huaqiang Yuan, Jiliang Wang, Ju Ren, Yaoxue Zhang
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Consider a set of communication requests in a multichannel wireless network, each of which is associated with a traffic demand of at most one unit of transmission time, and a weight representing the utility if its demand is fully met. A subset of them is said to be feasible if they can be scheduled within one unit of time. The problem Maximum-Weighted Feasible Set (MWFS) seeks a feasible subset with maximum total weight together with a transmission schedule of them whose length is at most one unit of time. This paper develops an efficient$\mathcal{O}(\log^{2}\alpha)$-approximation algorithms for the problem MWFS under the physical interference model (aka, SINR model) with a fixed monotone and sub-linear power assignment, where$\alpha$is the maximum number of requests which can transmit successfully at the same time over the same channel.