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arxiv 2409.11611 v1 pith:ZRAVYEJZ submitted 2024-09-18 math.OC

Multi-stage stochastic linear programming for shared autonomous vehicle system operation and design with on-demand and pre-booked requests

classification math.OC
keywords designdynamicon-demandpre-bookedprogrammingrequestsstochasticsystem
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This study presents optimization problems to jointly determine long-term network design, mid-term fleet sizing strategy, and short-term routing and ridesharing matching in shared autonomous vehicle (SAV) systems with pre-booked and on-demand trip requests. Based on the dynamic traffic assignment framework, multi-stage stochastic linear programming is formulated for joint optimization of SAV system design and operations. Leveraging the linearity of the proposed problem, we can tackle the computational complexity due to multiple objectives and dynamic stochasticity through the weighted sum method and stochastic dual dynamic programming (SDDP). Our numerical examples verify that the solution to the proposed problem obtained through SDDP is close enough to the optimal solution. We also demonstrate the effect of introducing pre-booking options on optimized infrastructure planning and fleet sizing strategies. Furthermore, dedicated vehicles to pick-up and drop-off only pre-booked travelers can lead to incentives to reserve in advance instead of on-demand requests with little reduction in system performance.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Flexible and Reliable Network Design for Emerging Transportation Services: Multi-stage Stochastic Programming Approach

    math.OC 2026-07 unverdicted novelty 6.0

    Introduces FR-NDPs as risk-averse multi-stage stochastic programs with SDDP convergence conditions, demonstrated on SAV capacity expansion and SAV-BRT integration in a Manhattan network.