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On the complexity of decomposing matrices arising in satellite communication. (English) Zbl 0569.90064

Decomposing a square matrix into a weighted sum of permutation matrices, such that the sum of the weights becomes minimal, is NP-hard. This result justifies the heuristic approach to this problem proposed by several authors. An application of this problem arises from intercity communication via transmission satellites.

MSC:

90C10 Integer programming
90C90 Applications of mathematical programming
65K05 Numerical mathematical programming methods
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References:

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