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Trolley Optimisation for Loading Printed Circuit Board Components

Author

Listed:
  • Vinod Kumar Chauhan

    (University of Cambridge
    University of Oxford)

  • Mark Bass

    (Rolls-Royce Headquarters)

  • Ajith Kumar Parlikad

    (University of Cambridge)

  • Alexandra Brintrup

    (University of Cambridge)

Abstract

A trolley is a container for loading printed circuit board (PCB) components, and a trolley optimisation problem (TOP) is an assignment of PCB components to trolleys for use in the production of a set of PCBs in an assembly line. In this paper, we introduce the TOP, a novel operation research application. To formulate the TOP, we derive a novel extension of the bin packing problem. We exploit the problem structure to decompose the TOP into two smaller, identical, and independent problems. Further, we develop a mixed integer linear programming model to solve the TOP and prove that the TOP is an NP-complete problem. A case study of an aerospace manufacturing company is used to illustrate the TOP which successfully automated the manual process in the company and resulted in significant cost reductions and flexibility in the building process.

Suggested Citation

  • Vinod Kumar Chauhan & Mark Bass & Ajith Kumar Parlikad & Alexandra Brintrup, 2024. "Trolley Optimisation for Loading Printed Circuit Board Components," SN Operations Research Forum, Springer, vol. 5(3), pages 1-17, September.
    • Handle: RePEc:spr:snopef:v:5:y:2024:i:3:d:10.1007_s43069-024-00354-4
    DOI: 10.1007/s43069-024-00354-4
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    References listed on IDEAS

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    5. Delorme, Maxence & Iori, Manuel & Martello, Silvano, 2016. "Bin packing and cutting stock problems: Mathematical models and exact algorithms," European Journal of Operational Research, Elsevier, vol. 255(1), pages 1-20.
    6. Yi-Kuei Lin & Ping-Chen Chang, 2015. "Demand satisfaction and decision-making for a PCB manufacturing system with production lines in parallel," International Journal of Production Research, Taylor & Francis Journals, vol. 53(11), pages 3193-3206, June.
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