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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