Approximating the multi-level bottleneck assignment problem

Dokka, Trivikram; Kouvela, Anastasia; and Spieksma, Frits C.R. (2012) Approximating the multi-level bottleneck assignment problem. Operations Research Letters, 40 (4). pp. 282-286. ISSN 0167-6377
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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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