Pareto-optimal front of cell formation problem in group technology

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.

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Acknowledgments

This research was funded by a Grant (No. MIP-063/2012) from the Research Council of Lithuania. P. M. Pardalos is partially supported by LATNA Laboratory, NRU HSE, RF Government Grant, ag. 11.G34.31.0057. We thank D. Krushinsky for a fruitful discussion.

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Correspondence to Julius Žilinskas.

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Žilinskas, J., Goldengorin, B. & Pardalos, P.M. Pareto-optimal front of cell formation problem in group technology. J Glob Optim 61, 91–108 (2015). https://doi.org/10.1007/s10898-014-0154-6

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Keywords

  • Cell formation problem
  • Multi-objective optimization
  • Branch and bound