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Pareto-optimal front of cell formation problem in group technology

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  • Julius Žilinskas
  • Boris Goldengorin
  • Panos Pardalos

Abstract

The earliest approaches to the cell formation problem in group technology, dealing with a binary machine-part incidence matrix, were aimed only at minimizing the number of intercell moves (exceptional elements in the block-diagonalized matrix). Later on this goal was extended to simultaneous minimization of the numbers of exceptions and voids, and minimization of intercell moves and within-cell load variation, respectively. In this paper we design the first exact branch-and-bound algorithm to create a Pareto-optimal front for the bi-criterion cell formation problem. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Julius Žilinskas & Boris Goldengorin & Panos Pardalos, 2015. "Pareto-optimal front of cell formation problem in group technology," Journal of Global Optimization, Springer, vol. 61(1), pages 91-108, January.
    • Handle: RePEc:spr:jglopt:v:61:y:2015:i:1:p:91-108
    DOI: 10.1007/s10898-014-0154-6
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    References listed on IDEAS

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    1. Papaioannou, Grammatoula & Wilson, John M., 2010. "The evolution of cell formation problem methodologies based on recent studies (1997-2008): Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 206(3), pages 509-521, November.
    2. Boris Goldengorin & Dmitry Krushinsky & Panos M. Pardalos, 2013. "Cell Formation in Industrial Engineering," Springer Optimization and Its Applications, Springer, edition 127, number 978-1-4614-8002-0, September.
    3. Thomas L. Saaty, 2013. "The Modern Science of Multicriteria Decision Making and Its Practical Applications: The AHP/ANP Approach," Operations Research, INFORMS, vol. 61(5), pages 1101-1118, October.
    4. Boris Goldengorin & Dmitry Krushinsky & Jannes Slomp, 2012. "Flexible PMP Approach for Large-Size Cell Formation," Operations Research, INFORMS, vol. 60(5), pages 1157-1166, October.
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