Approximating the multi-level bottleneck assignment problem

Dokka, T., Kouvela, A. & Spieksma, F. C. (2012). Approximating the multi-level bottleneck assignment problem. Operations Research Letters, 40(4), 282-286. https://doi.org/10.1016/j.orl.2012.04.003
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We consider the multi-level bottleneck assignment problem (MBA). This problem is described in the recent book "Assignment Problems" by Burkard et al. (2009) on pages 188-189, where its complexity status is called open. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem and settle its complexity status. We give approximation algorithms and inapproximability results, depending upon the completeness of the underlying graph.

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