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An efficient hybrid algorithm for integrated order batching, sequencing and routing problem

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  • Chen, Tzu-Li
  • Cheng, Chen-Yang
  • Chen, Yin-Yann
  • Chan, Li-Kai

Abstract

This study discusses the integrated order batching, sequencing and routing problem (IOBSRP) in warehouses. Distinguished from the past studies, a comprehensive nonlinear mixed integer optimization model is developed to simultaneously determine three decisions, including order batching, batch sequencing, and picker׳s routing, under the consideration of the minimum total tardiness of customer orders. The IOBSRP can be proven as a NP-Hard problem. Consequently, an algorithm integrating hybrid-coded genetic algorithm and ant colony optimization is developed to efficiently tackle the proposed nonlinear IOBSRP model. The hybrid-coded genetic algorithm is responsible for searching the near-optimal solutions of order batching and batch sequencing decisions by the hybrid-coded chromosome design and the evolutionary processes. For the picker routing decision of each batch, the ant colony optimization adopts the shortest path strategy to calculate the minimum of total travel time and its completion time. In order to exhibit the merits of the proposed algorithm, illustrative examples and sensitivity analysis were performed with various demands, batch capacity, and items per order. The experimental results show that the proposed hybrid algorithm has more advantage in the light of solution quality as compared with multiple-GA and due-date first approach.

Suggested Citation

  • Chen, Tzu-Li & Cheng, Chen-Yang & Chen, Yin-Yann & Chan, Li-Kai, 2015. "An efficient hybrid algorithm for integrated order batching, sequencing and routing problem," International Journal of Production Economics, Elsevier, vol. 159(C), pages 158-167.
    • Handle: RePEc:eee:proeco:v:159:y:2015:i:c:p:158-167
    DOI: 10.1016/j.ijpe.2014.09.029
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    References listed on IDEAS

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    1. Krishan Rana & R. G. Vickson, 1991. "Routing Container Ships Using Lagrangean Relaxation and Decomposition," Transportation Science, INFORMS, vol. 25(3), pages 201-214, August.
    2. Adacher, Ludovica & Cassandras, Christos G., 2014. "Lot size optimization in manufacturing systems: The surrogate method," International Journal of Production Economics, Elsevier, vol. 155(C), pages 418-426.
    3. Roodbergen, Kees Jan & de Koster, Rene, 2001. "Routing order pickers in a warehouse with a middle aisle," European Journal of Operational Research, Elsevier, vol. 133(1), pages 32-43, August.
    4. Hsieh, Ling-Feng & Huang, Yi-Chen, 2011. "New batch construction heuristics to optimise the performance of order picking systems," International Journal of Production Economics, Elsevier, vol. 131(2), pages 618-630, June.
    5. Henn, Sebastian & Wäscher, Gerhard, 2012. "Tabu search heuristics for the order batching problem in manual order picking systems," European Journal of Operational Research, Elsevier, vol. 222(3), pages 484-494.
    6. Amorim, P. & Belo-Filho, M.A.F. & Toledo, F.M.B. & Almeder, C. & Almada-Lobo, B., 2013. "Lot sizing versus batching in the production and distribution planning of perishable goods," International Journal of Production Economics, Elsevier, vol. 146(1), pages 208-218.
    7. de Koster, Rene & Le-Duc, Tho & Roodbergen, Kees Jan, 2007. "Design and control of warehouse order picking: A literature review," European Journal of Operational Research, Elsevier, vol. 182(2), pages 481-501, October.
    8. Noblesse, Ann M. & Boute, Robert N. & Lambrecht, Marc R. & Van Houdt, Benny, 2014. "Lot sizing and lead time decisions in production/inventory systems," International Journal of Production Economics, Elsevier, vol. 155(C), pages 351-360.
    9. Sebastian Henn & Verena Schmid, 2011. "Metaheuristics for Order Batching and Sequencing in Manual Order Picking Systems," FEMM Working Papers 110011, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
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