4 papers
Deep Learning Method for Stationary Distribution of Reflected Brownian Motion
Jim Dai, Zhanhao Zhang
The stationary distribution of reflected Brownian motion (RBM) plays an important role in the analysis of high-dimensional stochastic systems, yet closed-form solutions are known o…
Optimal Batched Scheduling of Stochastic Processing Networks Using Atomic Action Decomposition
Jim Dai, Manxi Wu, Zhanhao Zhang
Stochastic processing networks (SPNs) have broad applications in healthcare, transportation, and communication networks. The control of SPN is to dynamically assign servers in batc…
Atomic Proximal Policy Optimization for Electric Robo-Taxi Dispatch and Charger Allocation
Jim Dai, Manxi Wu, Zhanhao Zhang
Pioneering companies such as Waymo have deployed robo-taxi services in several U.S. cities. These robo-taxis are electric vehicles, and their operations require the joint optimizat…
Designing High-Occupancy Toll Lanes: A Game-Theoretic Analysis
Zhanhao Zhang, Ruifan Yang, Manxi Wu
In this article, we study the optimal design of High Occupancy Toll (HOT) lanes. The traffic authority determines the road capacity allocation between HOT lanes and ordinary lanes,…