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The two-echelon time-constrained vehicle routing problem in linehaul-delivery systems

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  • Li, Hongqi
  • Zhang, Lu
  • Lv, Tan
  • Chang, Xinyu

Abstract

Most of the studies address issues relating to the delivery from satellites to customers, which is throughout the end part of the linehaul-delivery system. Differing from the long-term strategic problems including the two-echelon vehicle routing problem (2E-VRP), the two-echelon location routing problem (2E-LRP) and the truck and trailer routing problem (TTRP) which make location decisions in depots or satellites, the paper introduces a short-term tactical problem named the two-echelon time-constrained vehicle routing problem in linehaul-delivery systems (2E-TVRP) that does not involve location decisions. The linehaul level and the delivery level are linked through city distribution centers (CDCs) located on the outskirts of cities. The 2E-TVRP has inter-CDC linehaul on the first level and urban delivery from CDCs to satellites on the second level. Vehicle routes on different levels are interacted by time constraints. A mixed integer nonlinear programming model for the 2E-TVRP is put forward, and a mixed integer linear programming model is used as the benchmark model. The Clarke and Wright savings heuristic algorithm (CW) improved by a local search phase is adopted. The 2E-TVRP formulations and the heuristic algorithm are tested by using 140 randomly-generated instances with up to 10 CDCs and 500 satellites. The computational results indicate that the heuristic can effectively solve various instances of the 2E-TVRP.

Suggested Citation

  • Li, Hongqi & Zhang, Lu & Lv, Tan & Chang, Xinyu, 2016. "The two-echelon time-constrained vehicle routing problem in linehaul-delivery systems," Transportation Research Part B: Methodological, Elsevier, vol. 94(C), pages 169-188.
    • Handle: RePEc:eee:transb:v:94:y:2016:i:c:p:169-188
    DOI: 10.1016/j.trb.2016.09.012
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