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The split-delivery mixed capacitated arc-routing problem: Applications and a forest-based tabu search approach

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  • Yu, Mingzhu
  • Jin, Xin
  • Zhang, Zizhen
  • Qin, Hu
  • Lai, Qidong

Abstract

Motivated by practical applications such as the water sprinkling services of urban administration bureaus in big cities, we study a split-delivery mixed capacitated arc-routing problem. In this problem, a fleet of capacitated vehicles need to serve a set of arcs/edges in a split delivery manner by traversing a mixed graph. We provide a mathematical formulation and analyze some properties of the problem that could be utilized to accelerate the search process of a meta-heuristic algorithm. A forest-based tabu search algorithm is proposed to efficiently solve the problem. Numerical experiments show that our algorithm can quickly produce high quality solutions compared with the state-of-the-art approaches. In addition, we analyze how different patterns of a mixed graph affect the quality of solutions.

Suggested Citation

  • Yu, Mingzhu & Jin, Xin & Zhang, Zizhen & Qin, Hu & Lai, Qidong, 2019. "The split-delivery mixed capacitated arc-routing problem: Applications and a forest-based tabu search approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 132(C), pages 141-162.
    • Handle: RePEc:eee:transe:v:132:y:2019:i:c:p:141-162
    DOI: 10.1016/j.tre.2019.09.017
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    Cited by:

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    2. Li, Jiliu & Qin, Hu & Baldacci, Roberto & Zhu, Wenbin, 2020. "Branch-and-price-and-cut for the synchronized vehicle routing problem with split delivery, proportional service time and multiple time windows," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 140(C).

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