In this paper, we study the complexity and approximability of the orthogonal frequency-division multiple-access (OFDMA) scheduling problem with uniformly related communication channels. One is given n≥1 terminals each coming with a demand d i >0 and m≥n communication channels each coming with a cost parameter p j >0. The channels shall be assigned to the terminals in a way that each channel is mapped to at most one terminal and each terminal receives at least one channel. Additionally, each channel j needs to be assigned a communication rate r j >0 such that the sum of the rates of the channels mapped to terminal i satisfies at least the demand d i . Using the Shannon rate-power function, the energy requirement for channel j is assumed to be . The objective is to minimize the sum of the energy requirements over all channels. We prove that the problem is NP-hard and cannot be approximated with approximation factor α, unless P = NP, where α>1 is any polynomial time computable function. We then consider a complementary problem setting in which one is given a threshold on the energy requirement and the objective is to maximize λ such that each terminal receives a rate of at least λd i . We show that this maximin version of the problem admits a PTAS if all demands are identical and a -approximation for general demands. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Ochel, M., & Vöcking, B. (2009). Approximability of OFDMA scheduling. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5757 LNCS, pp. 385–396). https://doi.org/10.1007/978-3-642-04128-0_35
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