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Stochastic single vehicle routing problem with delivery and pick up and a predefined customer sequence

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  • Minis, I.
  • Tatarakis, A.

Abstract

In this paper we study the routing of a single vehicle that delivers products and picks up items with stochastic demand. The vehicle follows a predefined customer sequence and is allowed to return to the depot for loading/unloading as needed. A suitable dynamic programming algorithm is proposed to determine the minimum expected routing cost. Furthermore, the optimal routing policy to be followed by the vehicle's driver is derived by proposing an appropriate theorem. The efficiency of the algorithm is studied by solving large problem sets.

Suggested Citation

  • Minis, I. & Tatarakis, A., 2011. "Stochastic single vehicle routing problem with delivery and pick up and a predefined customer sequence," European Journal of Operational Research, Elsevier, vol. 213(1), pages 37-51, August.
    • Handle: RePEc:eee:ejores:v:213:y:2011:i:1:p:37-51
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    References listed on IDEAS

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    Cited by:

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    2. Dimitrakos, T.D. & Kyriakidis, E.G., 2015. "A single vehicle routing problem with pickups and deliveries, continuous random demands and predefined customer order," European Journal of Operational Research, Elsevier, vol. 244(3), pages 990-993.
    3. Kyriakidis, Epaminondas G. & Dimitrakos, Theodosis D. & Karamatsoukis, Constantinos C., 2019. "Optimal delivery of two similar products to N ordered customers with product preferences," International Journal of Production Economics, Elsevier, vol. 209(C), pages 194-204.
    4. Pandelis, D.G. & Karamatsoukis, C.C. & Kyriakidis, E.G., 2013. "Finite and infinite-horizon single vehicle routing problems with a predefined customer sequence and pickup and delivery," European Journal of Operational Research, Elsevier, vol. 231(3), pages 577-586.
    5. Zhu, Lin & Sheu, Jiuh-Biing, 2018. "Failure-specific cooperative recourse strategy for simultaneous pickup and delivery problem with stochastic demands," European Journal of Operational Research, Elsevier, vol. 271(3), pages 896-912.
    6. Guo, Peijun & Li, Yonggang, 2014. "Approaches to multistage one-shot decision making," European Journal of Operational Research, Elsevier, vol. 236(2), pages 612-623.
    7. Guo, Peijun, 2022. "Dynamic focus programming: A new approach to sequential decision problems under uncertainty," European Journal of Operational Research, Elsevier, vol. 303(1), pages 328-336.
    8. Jin, Ming & Li, Gang & Cheng, T.C.E., 2018. "Buy online and pick up in-store: Design of the service area," European Journal of Operational Research, Elsevier, vol. 268(2), pages 613-623.
    9. Epaminondas G. Kyriakidis & Theodosis D. Dimitrakos & Constantinos C. Karamatsoukis, 2020. "A Stochastic Single Vehicle Routing Problem with a Predefined Sequence of Customers and Collection of Two Similar Materials," Methodology and Computing in Applied Probability, Springer, vol. 22(4), pages 1559-1582, December.
    10. Zhang, Junlong & Lam, William H.K. & Chen, Bi Yu, 2016. "On-time delivery probabilistic models for the vehicle routing problem with stochastic demands and time windows," European Journal of Operational Research, Elsevier, vol. 249(1), pages 144-154.
    11. Qinge Guo & Nengmin Wang, 2023. "The Vehicle Routing Problem with Simultaneous Pickup and Delivery Considering the Total Number of Collected Goods," Mathematics, MDPI, vol. 11(2), pages 1-10, January.
    12. Alexandra Anderluh & Rune Larsen & Vera C. Hemmelmayr & Pamela C. Nolz, 2020. "Impact of travel time uncertainties on the solution cost of a two-echelon vehicle routing problem with synchronization," Flexible Services and Manufacturing Journal, Springer, vol. 32(4), pages 806-828, December.

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