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Cyclic inventory routing in a line-shaped network

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  • Zenker, Michael
  • Emde, Simon
  • Boysen, Nils

Abstract

The inventory routing problem (IRP) is a very challenging optimization task that couples two of the most important components of supply chain management, i.e., inventory control and transportation. Routes of vehicles are to be determined to repeatedly resupply multiple customers with constant demand rates from a single depot. We alter this basic IRP setting by two aspects: (i) only cyclic tours are allowed, i.e., each vehicle continuously tours its dedicated route, and (ii) all customers are located along a line. Both characteristics occur, for instance, in liner shipping (when feeder ships service inland ports along a stream) and in facility logistics (when tow trains deliver part bins to the stations of an assembly line). We formalize the resulting problem setting, identify NP-hard as well as polynomially solvable cases, and develop suited solution procedures.

Suggested Citation

  • Zenker, Michael & Emde, Simon & Boysen, Nils, 2016. "Cyclic inventory routing in a line-shaped network," European Journal of Operational Research, Elsevier, vol. 250(1), pages 164-178.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:1:p:164-178
    DOI: 10.1016/j.ejor.2015.10.067
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    Cited by:

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    3. Divsalar, Ali & Vansteenwegen, Pieter, 2016. "A two-phase algorithm for the cyclic inventory routing problemAuthor-Name: Chitsaz, Masoud," European Journal of Operational Research, Elsevier, vol. 254(2), pages 410-426.
    4. Raa, Birger & Aouam, Tarik, 2021. "Multi-vehicle stochastic cyclic inventory routing with guaranteed replenishments," International Journal of Production Economics, Elsevier, vol. 234(C).
    5. Emde, Simon & Tahirov, Nail & Gendreau, Michel & Glock, Christoph H., 2021. "Routing automated lane-guided transport vehicles in a warehouse handling returns," European Journal of Operational Research, Elsevier, vol. 292(3), pages 1085-1098.
    6. Rau, Hsin & Budiman, Syarif Daniel & Widyadana, Gede Agus, 2018. "Optimization of the multi-objective green cyclical inventory routing problem using discrete multi-swarm PSO method," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 120(C), pages 51-75.
    7. Raa, Birger & Aouam, Tarik, 2023. "A shortfall modelling-based solution approach for stochastic cyclic inventory routing," European Journal of Operational Research, Elsevier, vol. 305(2), pages 674-684.

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