Title
Performance Guarantee Under Longest-Queue-First Schedule in Wireless Networks
Abstract
Efficient link scheduling in a wireless network is challenging. Typical optimal algorithms require solving an NP-hard subproblem. To meet the challenge, one stream of research focuses on finding simpler suboptimal algorithms that have low complexity but high efficiency in practice. In this paper, we study the performance guarantee of one such scheduling algorithm, the longest-queue-first (LQF) algorithm. It is known that the LQF algorithm achieves the full capacity region, $\\Lambda $, when the interference graph satisfies the so-called local pooling condition. For a general graph $G$ , LQF achieves (i.e., stabilizes) a part of the capacity region, $\\sigma ^{\\ast }(G) \\Lambda $, where $\\sigma ^{\\ast }(G)$ is the overall local pooling factor of the interference graph $G$ and $\\sigma ^{\\ast }(G) \\leq 1$ . It has been shown later that LQF achieves a larger rate region, $\\Sigma ^{\\ast }(G) \\Lambda $, where $\\Sigma ^{\\ast }(G)$ is a diagonal matrix. The contribution of this paper is to describe three new achievable rate regions, which are larger than the previously known regions. In particular, the new regions include all the extreme points of the capacity region and are not convex in general. We also discover a counterintuitive phenomenon in which increasing the arrival rate may sometime help to stabilize the network. This phenomenon can be well explained using the theory developed in this paper.
Year
DOI
Venue
2012
10.1109/TIT.2012.2201691
IEEE Transactions on Information Theory
Keywords
Field
DocType
Interference,local pooling,longest-queue-first (LQF) policy,stability,wireless networks scheduling
Extreme point,Discrete mathematics,Combinatorics,Scheduling (computing),Queue,Regular polygon,Schedule,Sigma,Diagonal matrix,Mathematics,Lambda
Journal
Volume
Issue
ISSN
58
9
0018-9448
Citations 
PageRank 
References 
1
0.38
9
Authors
3
Name
Order
Citations
PageRank
Bo Li157845.93
C. Boyaci2201.72
Yuanqing Xia33132232.57