A unified approach to approximating resource allocation and scheduling
Journal of the ACM (JACM)
Introduction to Algorithms
Approximating an Interval Scheduling Problem
APPROX '98 Proceedings of the International Workshop on Approximation Algorithms for Combinatorial Optimization
Scheduling algorithms for multi-carrier wireless data systems
Proceedings of the 13th annual ACM international conference on Mobile computing and networking
Instability of the proportional fair scheduling algorithm for HDR
IEEE Transactions on Wireless Communications
Harnessing frequency diversity in wi-fi networks
MobiCom '11 Proceedings of the 17th annual international conference on Mobile computing and networking
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In this paper, we investigate the frequency-domain packet scheduling (FDPS) problem for 3GPP LTE Uplink (UL). Instead of studying a specific scheduling policy, we provide a unified approach to tackle this issue. First we formalize a general LTE UL FDPS problem which is suitable for various scheduling policies. Then we prove that the problem is MAX SNP-hard, which implies that approximation algorithms with constant approximation ratios are the best that we can hope for. Therefore we design two approximation algorithms, both of which have polynomial runtime. Subsequently, we analyze the two algorithms and find their approximation ratios. The first algorithm is easy to follow, since it is based on a simple greedy method. The second one is based on the local ratio technique and it can approximately solve the LTE UL FDPS problem with a approximation ratio of 2.