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Order sequencing on a unidirectional cyclical picking line

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  • Matthews, Jason
  • Visagie, Stephan

Abstract

A real life order-picking configuration that requires multiple pickers to cyclically move around fixed locations in a single direction is considered. This configuration is not the same, but shows similarities to, unidirectional carousel systems described in literature. The problem of minimising the pickers’ travel distance to pick all orders on this system is a variant of the clustered travelling salesman problem. An integer programming (IP) formulation of this problem cannot be solved in a realistic time frame for real life instances of the problem. A relaxation of this IP formulation is proposed that can be used to determine a lower bound on an optimal solution. It is shown that the solution obtained from this relaxation can always be transformed to a feasible solution for the IP formulation that is, at most, within one pick cycle of the lower bound. The computational results and performance of the proposed methods as well as adapted order sequencing approaches for bidirectional carousel systems from literature are compared to one another by means of real life historical data instances obtained from a retail distribution centre.

Suggested Citation

  • Matthews, Jason & Visagie, Stephan, 2013. "Order sequencing on a unidirectional cyclical picking line," European Journal of Operational Research, Elsevier, vol. 231(1), pages 79-87.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:1:p:79-87
    DOI: 10.1016/j.ejor.2013.05.011
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    References listed on IDEAS

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    1. 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.
    2. Nelly Litvak & Maria Vlasiou, 2010. "A survey on performance analysis of warehouse carousel systems," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(4), pages 401-447, November.
    3. Berg, J. P. van den & Zijm, W. H. M., 1999. "Models for warehouse management: Classification and examples," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 519-528, March.
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    Cited by:

    1. van Gils, Teun & Ramaekers, Katrien & Caris, An & de Koster, René B.M., 2018. "Designing efficient order picking systems by combining planning problems: State-of-the-art classification and review," European Journal of Operational Research, Elsevier, vol. 267(1), pages 1-15.
    2. Hong, Soondo & Kim, Youngjoo, 2017. "A route-selecting order batching model with the S-shape routes in a parallel-aisle order picking system," European Journal of Operational Research, Elsevier, vol. 257(1), pages 185-196.
    3. Anderson Rogério Faia Pinto & Antonio Fernando Crepaldi & Marcelo Seido Nagano, 2018. "A Genetic Algorithm applied to pick sequencing for billing," Journal of Intelligent Manufacturing, Springer, vol. 29(2), pages 405-422, February.
    4. Anderson Rogério Faia Pinto & Marcelo Seido Nagano, 2020. "Genetic algorithms applied to integration and optimization of billing and picking processes," Journal of Intelligent Manufacturing, Springer, vol. 31(3), pages 641-659, March.
    5. van Gils, Teun & Caris, An & Ramaekers, Katrien & Braekers, Kris, 2019. "Formulating and solving the integrated batching, routing, and picker scheduling problem in a real-life spare parts warehouse," European Journal of Operational Research, Elsevier, vol. 277(3), pages 814-830.

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