scalation.maxima

Hungarian

Related Docs: object Hungarian | package maxima

class Hungarian extends AnyRef

This is an O(n^3) implementation of the Hungarian algorithm (or Kuhn-Munkres algorithm). Find the maximum cost set of pairings between m x-nodes (workers) and n y-nodes (jobs) such that each worker is assigned to one job and each job has at most one worker assigned. It solves the maximum-weighted bipartite graph matching problem.

maximize sum i = 0 .. m-1 { cost(x_i, y_i) }

Caveat: only works if m <= n (i.e., there is at least one job for every worker).

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  1. new Hungarian(cost: MatrixD)

    cost

    the cost matrix: cost(x, y) = cost of assigning worker to job

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