Fast algorithms for joint power control and scheduling in wireless networks

This paper studies the problem of finding a minimum-length schedule of a power-controlled wireless network subject to traffic demands and SINR (signal-to-interference-plus-noise ratio) constraints. We propose a column generation based algorithm that finds the optimal schedules and transmit powers. T...

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Vydáno v:	IEEE transactions on wireless communications Ročník 9; číslo 3; s. 1186 - 1197
Hlavní autoři:	Fu, Liqun, Liew, Soung Chang, Huang, Jianwei
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York, NY IEEE 01.03.2010 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Témata:	Algorithms Applied sciences branch-and-price column generation Columns (structural) Communication system traffic control Exact sciences and technology Heuristic algorithms Links Networks Optimal scheduling Optimization Power control Power generation Pricing Runtime Scheduling Scheduling algorithm Signal to noise ratio SINR constraints Systems, networks and services of telecommunications Telecommunications Telecommunications and information theory Teletraffic Wireless communication Wireless networks Performance evaluation Optimal algorithm Branch and bound method Wireless telecommunication branch-and-price Teletraffic Eigenvalue SINR constraints column generation Scheduling Joint Optimization Time slot assignment Algorithm performance Simulation Power control Optimal solution Pricing Heuristic method Wireless network Optimal planning Tariffication Fast algorithm Signal to interference plus noise ratio
ISSN:	1536-1276, 1558-2248
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Shrnutí:	This paper studies the problem of finding a minimum-length schedule of a power-controlled wireless network subject to traffic demands and SINR (signal-to-interference-plus-noise ratio) constraints. We propose a column generation based algorithm that finds the optimal schedules and transmit powers. The column generation method decomposes a complex linear optimization problem into a restricted master problem and a pricing problem. We develop a new formulation of the pricing problem using the Perron-Frobenius eigenvalue condition, which enables us to integrate link scheduling with power control in a single framework. This new formulation reduces the complexity of the pricing problem, and thus improves the overall efficiency of the column generation method significantly - for example, the average runtime is reduced by 99.86% in 18-link networks compared with the traditional column generation method. Furthermore, we propose a branch-and-price method that combines column generation with the branch-and-bound technique to tackle the integer constraints on time slot allocation. We develop a new branching rule in the branch-and-price method that maintains the size of the pricing problem after each branching. Our branch-and-price method can obtain optimal integer solutions efficiently for example, the average runtime is reduced by 99.72% in 18-link networks compared with the traditional branch-and-price method. We further suggest efficient heuristic algorithms based on the structure of the optimal algorithms. Simulation results show that the heuristic algorithms can reach solutions within 10% of optimality for networks with less than 30 links.
Bibliografie:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 content type line 23
ISSN:	1536-1276 1558-2248
DOI:	10.1109/TWC.2010.03.090824