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.


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