Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  studies the problem of finding a minimum-length schedule of a por-controlled wireless network subject to traffic demands and SINR (signal-to-interference-plus-noise ratio) constraints.  propose a column generation based algorithm that finds the optimal schedules and transmit pors. The column generation method decomposes a complex linear optimization problem into a restricted master problem and a pricing problem.  develop a new formulation of the pricing problem using the Perron-Frobenius eigenvalue condition, which enables us to integrate link scheduling with por 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,  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.  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.  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.
['Liqun Fu', 'Soung Chang Liew', 'Jianwei Huang']
I am writing a research paper on a idea Fast algorithms for joint power control and scheduling in wireless networks
[{"from": "human", "value": "I am writing a research paper on a idea Fast algorithms for joint power control and scheduling in wireless networks"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  studies the problem of finding a minimum-length schedule of a por-controlled wireless network subject to traffic demands and SINR (signal-to-interference-plus-noise ratio) constraints.  propose a column generation based algorithm that finds the optimal schedules and transmit pors. The column generation method decomposes a complex linear optimization problem into a restricted master problem and a pricing problem.  develop a new formulation of the pricing problem using the Perron-Frobenius eigenvalue condition, which enables us to integrate link scheduling with por 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,  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.  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.  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."}]