Approximating the multi-level bottleneck assignment problem

Dokka, T., Kouvela, A. & Spieksma, F. C. R. (2012). Approximating the multi-level bottleneck assignment problem. In Rahman, M. S. & Nakano, S. (Eds.), Walcom: Algorithms and Computation: 6th International Workshop, Walcom 2012, Dhaka, Bangladesh, February 15-17, 2012: Proceeding (pp. 64-75). Springer Berlin / Heidelberg. https://doi.org/10.1007/978-3-642-28076-4_9
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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. One of the applications described there concerns bus driver scheduling. We view the problem as a special case of a bottleneck m-dimensional multi-index assignment problem. We give approximation algorithms and inapproximability results, depending upon the completeness of the underlying graph.

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