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Статья

Pareto-optimal front of cell formation problem in group technology

Journal of Global Optimization. 2015. Vol. 61. No. 1. P. 91-108.
Žilinskas J., Goldengorin B. I., Pardalos P. M.

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.