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Data-Driven Stochastic VRP: Integration of Forecast Duration into Optimization for Utility Workforce Management

arXiv 2601.07514 ↗First posted 12 Jan 2026math.OC cs.AIcited by 0

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Abstract (arXiv)

This paper investigates the integration of machine learning forecasts of intervention durations into a stochastic variant of the Capacitated Vehicle Routing Problem with Time Windows (CVRPTW). In particular, we exploit tree-based gradient boosting (XGBoost) trained on eight years of gas meter maintenance data to produce point predictions and uncertainty estimates, which then drive a multi-objective evolutionary optimization routine. The methodology addresses uncertainty through sub-Gaussian concentration bounds for route-level risk buffers and explicitly accounts for competing operational KPIs through a multi-objective formulation. Empirical analysis of prediction residuals validates the sub-Gaussian assumption underlying the risk model. From an empirical point of view, our results report improvements around 20-25% in operator utilization and completion rates compared with plans computed using default durations. The integration of uncertainty quantification and risk-aware optimization provides a practical framework for handling stochastic service durations in real-world routing applications.

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References · 5

  1. 2018Reinforcement Learning for Solving the Vehicle Routing Problemcited by 327
  2. 2023A Survey of Contextual Optimization Methods for Decision Making under Uncertaintycited by 81
  3. 2021Analytics and Machine Learning in Vehicle Routing Researchcited by 22
  4. 2023Recent Advances in Vehicle Routing with Stochastic Demands: Bayesian Learning for Correlated Demands and Elementary Branch-Price-and-Cutcited by 3
  5. 2024Contextual Stochastic Vehicle Routing with Time Windowscited by 1

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