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Component Allocation and Partitioning for a Dual Delivery Placement Machine

Author

Listed:
  • Javad Ahmadi

    (IBM Systems Technology, Austin, Texas)

  • Stephen Grotzinger

    (IBM T. J. Watson Research center, Yorktown Heights, New York)

  • Dennis Johnson

    (IBM Information Network, Tampa, Florida)

Abstract

Consider a computer numerically controlled placement machine for populating printed circuit cards with surface mounted components, which features two carriers for the delivery of components to the placement heads. This parallel type of delivery system requires a systems analysis to determine: the number of tape reels of each component to be allocated; and to which of the two carriers each should be assigned along with the assignment of corresponding sets of tools. Factors that impinge on the development are: the flexibility of the machine's controller, and the fixturing for component feed (vibratory and/or tape reel). The allocation models maximize the number of board completions attainable by a single allocation of components to the two carriers. This reduces the demand on the automated material handling system and the machine's operators for component replenishment. We consider the case where all components allocated are accessible and the case of a “static pick sequence.” The partioning model minimizes the “dead time” with respect to operation balance, excess rotation and the number of required nozzle changes, so as to support a high throughput rate. The utilization of vibratory, ski slope type fixtures for the delivery of components is also addressed in an Appendix.

Suggested Citation

  • Javad Ahmadi & Stephen Grotzinger & Dennis Johnson, 1988. "Component Allocation and Partitioning for a Dual Delivery Placement Machine," Operations Research, INFORMS, vol. 36(2), pages 176-191, April.
  • Handle: RePEc:inm:oropre:v:36:y:1988:i:2:p:176-191
    DOI: 10.1287/opre.36.2.176
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    Citations

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    Cited by:

    1. Crama, Yves & Flippo, Olaf E. & van de Klundert, Joris & Spieksma, Frits C. R., 1997. "The assembly of printed circuit boards: A case with multiple machines and multiple board types," European Journal of Operational Research, Elsevier, vol. 98(3), pages 457-472, May.
    2. Spieksma, F.C.R. & Crama, Y. & van de Klundert, J. & Flippo, O.E., 1995. "The assembly of printed circuit boards: a case with multiple machines and multiple board types," Research Memorandum 023, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    3. Ahmadi, Reza H. & Kouvelis, Panagiotis, 1999. "Design of electronic assembly lines: An analytical framework and its application," European Journal of Operational Research, Elsevier, vol. 115(1), pages 113-137, May.
    4. Ronald G. Askin & Moshe Dror & Asoo J. Vakharia, 1994. "Printed circuit board family grouping and component allocation for a multimachine, open‐shop assembly cell," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(5), pages 587-608, August.
    5. Ayob, Masri & Kendall, Graham, 2008. "A survey of surface mount device placement machine optimisation: Machine classification," European Journal of Operational Research, Elsevier, vol. 186(3), pages 893-914, May.
    6. Klomp, Cornelis & van de Klundert, Joris & Spieksma, Frits C. R. & Voogt, Siem, 2000. "The feeder rack assignment problem in PCB assembly: A case study," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 399-407, March.
    7. Altinkemer, Kemal & Kazaz, Burak & Koksalan, Murat & Moskowitz, Herbert, 2000. "Optimization of printed circuit board manufacturing: Integrated modeling and algorithms," European Journal of Operational Research, Elsevier, vol. 124(2), pages 409-421, July.
    8. Sun, Dong-Seok & Lee, Tae-Eog & Kim, Kyung-Hoon, 2005. "Component allocation and feeder arrangement for a dual-gantry multi-head surface mounting placement tool," International Journal of Production Economics, Elsevier, vol. 95(2), pages 245-264, February.
    9. Spieksma, F.C.R. & Crama, Y. & van de Klundert, J. & Flippo, O.E., 1995. "The component retrieval problem in printed circuit board assembly," Research Memorandum 027, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    10. Anantaram Balakrishnan & François Vanderbeck, 1999. "A Tactical Planning Model for Mixed-Model Electronics Assembly Operations," Operations Research, INFORMS, vol. 47(3), pages 395-409, June.
    11. George J. Kyparisis & Christos Koulamas, 2002. "Assembly-Line Scheduling with Concurrent Operations and Parallel Machines," INFORMS Journal on Computing, INFORMS, vol. 14(1), pages 68-80, February.
    12. Choudhury, Nilanjan D. & Wilhelm, Wilbert E. & Rao, Brijesh & Gott, Jonathan & Khotekar, Nikhilesh, 2007. "Process planning for circuit card assembly on a series of dual head placement machines," European Journal of Operational Research, Elsevier, vol. 182(2), pages 626-639, October.
    13. Ayob, Masri & Kendall, Graham, 2005. "A triple objective function with a Chebychev dynamic pick-and-place point specification approach to optimise the surface mount placement machine," European Journal of Operational Research, Elsevier, vol. 164(3), pages 609-626, August.

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