Augmented Lagrangian relaxation approach for logistics vehicle routing problem with mixed backhauls and time windows

Senyan Yang, Lianju Ning, Pan Shang and (Carol) Tong, Lu

Transportation Research Part E: Logistics and Transportation Review, 2020, vol. 135, issue C

Abstract: This paper studies the vehicle routing problem with mixed backhauls and time windows (VRPMBTW) for city logistics. A time-discretized multi-commodity network flow optimization model is proposed in an extended state-space-time network representation, where the time-dependent pickups and deliveries can be depicted by extending the state dimensions. By implementing an augmented Lagrangian relaxation technique, the VRPMBTW is reformulated as a quadratic 0–1 programming model, which is further decomposed into the standard least-cost-path sub-problems, and iteratively solved by dynamic programming in a block nonlinear Gauss-Seidel framework. The proposed approach is tested on the simple 9-node network and the real-world Chicago sketch network.

Keywords: Vehicle routing problem; Mixed backhauls; Pickups and deliveries; Augmented Lagrangian relaxation; Nonlinear Gauss–Seidel method (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (4)

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DOI: 10.1016/j.tre.2020.101891

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