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Safe and Sustainable Electric Bus Charging Scheduling with Constrained Hierarchical DRL

arXiv 2512.03059 ↗First posted 25 Nov 2025cs.LGcited by 0

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Abstract (arXiv)

The integration of Electric Buses (EBs) with renewable energy sources such as photovoltaic (PV) panels is a promising approach to promote sustainable and low-carbon public transportation. However, optimizing EB charging schedules to minimize operational costs while ensuring safe operation without battery depletion remains challenging - especially under real-world conditions, where uncertainties in PV generation, dynamic electricity prices, variable travel times, and limited charging infrastructure must be accounted for. In this paper, we propose a safe Hierarchical Deep Reinforcement Learning (HDRL) framework for solving the EB Charging Scheduling Problem (EBCSP) under multi-source uncertainties. We formulate the problem as a Constrained Markov Decision Process (CMDP) with options to enable temporally abstract decision-making. We develop a novel HDRL algorithm, namely Double Actor-Critic Multi-Agent Proximal Policy Optimization Lagrangian (DAC-MAPPO-Lagrangian), which integrates Lagrangian relaxation into the Double Actor-Critic (DAC) framework. At the high level, we adopt a centralized PPO-Lagrangian algorithm to learn safe charger allocation policies. At the low level, we incorporate MAPPO-Lagrangian to learn decentralized charging power decisions under the Centralized Training and Decentralized Execution (CTDE) paradigm. Extensive experiments with real-world data demonstrate that the proposed approach outperforms existing baselines in both cost minimization and safety compliance, while maintaining fast convergence speed.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 13 of its 40 references that are in the map. First posted on arXiv 25 Nov 2025.

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13 of 40 references.

References · 13

  1. 2015Continuous control with deep reinforcement learningcited by 3,279
  2. 2015High-Dimensional Continuous Control Using Generalized Advantage Estimationcited by 1,916
  3. 2015Deep Reinforcement Learning with Double Q-learningcited by 1,704
  4. 2017Constrained Policy Optimizationcited by 928
  5. 2021The Surprising Effectiveness of PPO in Cooperative, Multi-Agent Gamescited by 903
  6. 2019Constrained Reinforcement Learning Has Zero Duality Gapcited by 144
  7. 2019DAC: The Double Actor-Critic Architecture for Learning Optionscited by 43
  8. 2018An Adaptive Clipping Approach for Proximal Policy Optimizationcited by 14
  9. 2021Safe Model-based Off-policy Reinforcement Learning for Eco-Driving in Connected and Automated Hybrid Electric Vehiclescited by 6
  10. 2021Learning to Operate an Electric Vehicle Charging Station Considering Vehicle-grid Integrationcited by 6
  11. 2023Optimal Scheduling in IoT-Driven Smart Isolated Microgrids Based on Deep Reinforcement Learningcited by 2
  12. 2025Electric Bus Charging Schedules Relying on Real Data-Driven Targets Based on Hierarchical Deep Reinforcement Learningcited by 1
1 more
  1. 2025Optimizing Electric Bus Charging Scheduling with Uncertainties Using Hierarchical Deep Reinforcement Learningcited by 1

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