arXiv:2409.16190cs.RO2024-09被引 1

用博弈论统一解决复杂道路多车协同决策难题。

A Universal Multi-Vehicle Cooperative Decision-Making Approach in Structured Roads by Mixed-Integer Potential Game

  • 将决策问题转为图路径搜索,建模为混合整数潜在博弈
  • 算法求解纳什均衡,避免车辆牺牲整体成本
  • 适用于多种城市路网,效率优于传统优化方法

由于现实道路拓扑的复杂性和自动驾驶车辆的内在特性,多个联网自动驾驶汽车(CAVs)的协同决策仍面临重大挑战。现有方法多针对特定场景,且优化与学习方法因建模复杂和数据依赖,难以在多样化场景中高效应用。本文提出一种基于博弈论的通用多车协同决策方法,适用于结构化道路。将决策问题转化为方式点图框架内的路径搜索问题,首先建模为混合整数线性规划(MILP),再转换为混合整数潜在博弈(MIPG),缩小问题范围并确保无车辆需为全局成本牺牲。提出两种高斯-赛德尔算法求解MIPG以获得纳什均衡解。其中顺序高斯-赛德尔算法考虑车辆间交互强度与调整灵活性,确定优化优先级,减少无效优化次数。在不同拓扑结构的城市交通场景下实验验证表明,该方法在有效性和效率上均优于MILP,且不同优化序列对比证实了顺序算法的优越性。

原文摘要 · Abstract (English)

Due to the intricate of real-world road topologies and the inherent complexity of autonomous vehicles, cooperative decision-making for multiple connected autonomous vehicles (CAVs) remains a significant challenge. Currently, most methods are tailored to specific scenarios, and the efficiency of existing optimization and learning methods applicable to diverse scenarios is hindered by the complexity of modeling and data dependency, which limit their real-world applicability. To address these issues, this paper proposes a universal multi-vehicle cooperative decision-making method in structured roads with game theory. We transform the decision-making problem into a graph path searching problem within a way-point graph framework. The problem is formulated as a mixed-integer linear programming problem (MILP) first and transformed into a mixed-integer potential game (MIPG), which reduces the scope of problem and ensures that no player needs to sacrifice for the overall cost. Two Gauss-Seidel algorithms for cooperative decision-making are presented to solve the MIPG problem and obtain the Nash equilibrium solutions. Specifically, the sequential Gauss-Seidel algorithm for cooperative decision-making considers the varying degrees of CAV interactions and flexibility in adjustment strategies to determine optimization priorities, which reduces the frequency of ineffective optimizations. Experimental evaluations across various urban traffic scenarios with different topological structures demonstrate the effectiveness and efficiency of the proposed method compared with MILP and comparisons of different optimization sequences validate the efficiency of the sequential Gauss-Seidel algorithm for cooperative decision-making.

协同决策博弈论自动驾驶MIPG

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