A Solution Method for a Two-dispatch Delivery Problem with Stochastic Customers


DOI: 10.1007/s10852-006-9051-4

Cite this article as:
Cheung, R.K., Xu, D. & Guan, Y. J Math Model Algor (2007) 6: 87. doi:10.1007/s10852-006-9051-4


We study a vehicle routing problem in which vehicles are dispatched multiple times a day for product delivery. In this problem, some customer orders are known in advance while others are uncertain but are progressively realized during the day. The key decisions include determining which known orders should be delivered in the first dispatch and which should be delivered in a later dispatch, and finding the routes and schedules for customer orders. This problem is formulated as a two-stage stochastic programming problem with the objective of minimizing the expected total cost. A worst-case analysis is performed to evaluate the potential benefit of the stochastic approach against a deterministic approach. Furthermore, a sample-based heuristic is proposed. Computational experiments are conducted to assess the effectiveness of the model and the heuristic.


vehicle routing stochastic customers stochastic programming 

Mathematics Subject Classifications (2000)

90B06 90C15 90C59 90C10 

Copyright information

© Springer Science + Business Media B.V. 2006

Authors and Affiliations

  • Raymond K. Cheung
    • 1
  • Dongsheng Xu
    • 1
  • Yongpei Guan
    • 2
  1. 1.Department of Industrial Engineering and Logistics ManagementThe Hong Kong University of Science and TechnologyKowloonHong Kong
  2. 2.School of Industrial EngineeringThe University of OklahomaNormanUSA

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