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引用次数: 22
摘要
本文研究了多层次瓶颈分配问题(MBA)。这个问题在Burkard et al.(2009)的新书《Assignment Problems》(第188 - 189页)中有描述。其中描述的一个应用程序涉及总线驾驶员调度。我们把这个问题看作是瓶颈m维多索引分配问题的一个特例。我们给出了近似算法和不近似结果,这取决于底层图的完备性。
Approximating the Multi-Level Bottleneck Assignment Problem
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.