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Minimizing the number of pickups on a multi-head placement machine

Author

Listed:
  • T Knuutila

    (University of Turku)

  • S Pyöttiälä

    (University of Turku)

  • O S Nevalainen

    (University of Turku)

Abstract

Multi-head gantry machines are becoming increasingly popular in surface mount technology (SMT), because they combine high printing speed with a moderate price. The optimization of their operation seems, however, to be very difficult. We formalize here a small subproblem of the scheduling problem of multi-headed SMT machines, namely the selection of nozzles which pick up and place components on printed circuit boards (PCB). The aim in this selection is to minimize the number of component pickups when manufacturing some PCB type. Given a sequence of component placement commands, a greedy nozzle usage policy picks, at each pickup, as many components next in the sequence as possible. If the nozzles are ‘universal’, that is, they can pick up any component, it is obvious that this policy is optimal. The situation gets more complicated once certain component types can be picked up only with certain nozzle types. We show that the greedy policy is optimal in this case, too. Finally, we do some experiments aimed at a better understanding of this subproblem.

Suggested Citation

  • T Knuutila & S Pyöttiälä & O S Nevalainen, 2007. "Minimizing the number of pickups on a multi-head placement machine," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 115-121, January.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:1:d:10.1057_palgrave.jors.2602136
    DOI: 10.1057/palgrave.jors.2602136
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    References listed on IDEAS

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    1. Michael O. Ball & Michael J. Magazine, 1988. "Sequencing of Insertions in Printed Circuit Board Assembly," Operations Research, INFORMS, vol. 36(2), pages 192-201, April.
    2. Javad Ahmadi & Reza Ahmadi & Hirofumi Matsuo & Devanath Tirupati, 1995. "Component Fixture Positioning/Sequencing for Printed Circuit Board Assembly with Concurrent Operations," Operations Research, INFORMS, vol. 43(3), pages 444-457, June.
    3. Leipala, Timo & Nevalainen, Olli, 1989. "Optimization of the movements of a component placement machine," European Journal of Operational Research, Elsevier, vol. 38(2), pages 167-177, January.
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    Cited by:

    1. Ashayeri, J. & Ma, N. & Sotirov, R., 2010. "An Aggregated Optimization Model for Multi-Head SMD Placements," Other publications TiSEM 9947d4db-ac1f-46e0-9616-c, Tilburg University, School of Economics and Management.

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