Any nonnegative square matrix with matching row and column sums can be written as a sum of circuit matrices, which yields descriptions of optimal-score partitions interpretable as optimal resource allocations.
Journal of Transport Econom ics and Policy 5(2), 184–200 (1971)
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Nonnegative sum-symmetric matrices, optimal-score partitions, and optimal resource allocation
Any nonnegative square matrix with matching row and column sums can be written as a sum of circuit matrices, which yields descriptions of optimal-score partitions interpretable as optimal resource allocations.