Matrix analysis
IEEE/ACM Transactions on Networking (TON)
Introduction to Linear Optimization
Introduction to Linear Optimization
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
Impact of interference on multi-hop wireless network performance
Proceedings of the 9th annual international conference on Mobile computing and networking
The feasibility of matchings in a wireless network
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
Proceedings of the 12th annual international conference on Mobile computing and networking
On the complexity of scheduling in wireless networks
Proceedings of the 12th annual international conference on Mobile computing and networking
Efficient interference-aware TDMA link scheduling for static wireless networks
Proceedings of the 12th annual international conference on Mobile computing and networking
Selected Topics in Column Generation
Operations Research
Proceedings of the 8th ACM international symposium on Mobile ad hoc networking and computing
Joint scheduling and power control for wireless ad hoc networks
IEEE Transactions on Wireless Communications
Cross-layer optimization of wireless networks using nonlinear column generation
IEEE Transactions on Wireless Communications
Cross-Layer Design for Power Efficiency and QoS Provisioning in Multi-Hop Wireless Networks
IEEE Transactions on Wireless Communications
The capacity of wireless networks
IEEE Transactions on Information Theory
Wireless Link Scheduling With Power Control and SINR Constraints
IEEE Transactions on Information Theory
Power allocation in team jamming games in wireless ad hoc networks
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
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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.