Real-Time Mixed-Integer Quadratic Programming for Vehicle Decision-Making and Motion Planning

We develop a real-time feasible mixed-integer programming-based decision-making (MIP-DM) system for automated driving (AD). Using a linear vehicle model in a road-aligned coordinate frame, the lane change constraints, collision avoidance, and traffic rules can be formulated as mixed-integer inequalities, resulting in a mixed-integer quadratic program (MIQP). The proposed MIP-DM performs maneuver selection and trajectory generation by solving the MIQP at each sampling instant. While solving MIQPs in real time has been considered intractable in the past, we show that our recently developed solver <monospace xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">BB-ASIPM</monospace> is capable of solving MIP-DM problems on embedded hardware in real time. The performance of this approach is illustrated in simulations in various scenarios, including merging points and traffic intersections, and hardware-in-the-loop (HIL) simulations in dSPACE Scalexio and MicroAutoBox-III (MABX-III). Finally, we show experiments using small-scale vehicles.