Proportionally fair flow markets for transportation networks
研究了交通网络中比例公平的流量市场，设计了两种市场机制和分布式动态算法，证明了均衡点的存在性、唯一性和稳定性，并通过数值模拟验证了算法的实用性和稳定性。
The concept of proportionally fair markets for transportation networks is studied. The goal is to find methods for flow allocation to origin/destination pairs in urban communities which is fair, efficient, and able to dynamically adapt to the changes in origin/destinations and traffic network. Two flow markets are designed and studied. Distributed and dynamic algorithms are developed to find the proportional fair allocation of flow among competing origin/destinations. Additionally, existence, uniqueness and stability of the equilibrium points are proved for both markets. Our numerical simulations supplement the stability and practicality of our proposed algorithms.