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The output vector y gives an allocation of the single input u, which may be a rate or simply an available amount of entities. The allocation is done according to the priorities associated with the repicients (e.g., suppliers or buyers) and their individual capacities, so that even the most attractive recipient will never get more than the maximum amount offered or demanded.
SplitProportionally often suffices to allocate a resource (e.g., a single supply to some buyers or a single demand to some suppliers), the case is more complicated when capacities need to be considered as well.allocateUniform, allocateTriangular, allocateNormal, allocateExtremeValue) cenetered around the priority score of each recipient, the solver will start from +∞ moving to the left until the sum under the priority curves multiplied times the capacity matches the demand.width is more or less equivalent to the span of the priority distributions and controls whether priority distributions for recipients with similar priority scores will overlap or not. If the width is such, that two priority distributions will not overlap, then the more attrative recipient will receive everything available until the capacity is filled before the less attractive recipient recieves anything.Allocation_Brent, SplitProportionally