Aggregation of nonnegative integer-valued equations

Results are given for aggregating a system of nonnegative integer equations of the form Xj = bj, je N, to yield a single equivalent equation whose coefficients correspond to those of the best previously known result for the special case b, = 1, jc,V. Different aggregations are obtained for different permutations of the indexes jEIV, according to the sizes of the b, values, and we also identify a permutation that dominates all others, producing smallest coefficients.