Munkres Yi Cao.m

function [assignment,cost] = Munkres_Yi_Cao(costMat) % MUNKRES Munkres (Hungarian) Algorithm for Linear Assignment Problem. % % [ASSIGN,COST] = munkres(COSTMAT) returns the optimal column indices, % ASSIGN assigned to each row and the minimum COST based on the assignment % problem represented by the COSTMAT, where the (i,j)th element represents the cost to assign the jth % job to the ith worker. % % Partial assignment: This code can identify a partial assignment is a full % assignment is not feasible. For a partial assignment, there are some % zero elements in the returning assignment vector, which indicate % un-assigned tasks. The cost returned only contains the cost of partially % assigned tasks.

% This is vectorized implementation of the algorithm. It is the fastest % among all Matlab implementations of the algorithm.

% Examples % Example 1: a 5 x 5 example %{ [assignment,cost] = munkres(magic(5)); disp(assignment); % 3 2 1 5 4 disp(cost); %15 %} % Example 2: 400 x 400 random data %{ n=400; A=rand(n); tic [a,b]=munkres(A); toc  % about 2 seconds %} % Example 3: rectangular assignment with inf costs %{ A=rand(10,7); A(A>0.7)=Inf; [a,b]=munkres(A); %} % Example 4: an example of partial assignment %{ A = [1 3 Inf; Inf Inf 5; Inf Inf 0.5]; [a,b]=munkres(A) %} % a = [1 0 3] % b = 1.5 % Reference: % "Munkres' Assignment Algorithm, Modified for Rectangular Matrices", % http://csclab.murraystate.edu/bob.pilgrim/445/munkres.html

% version 2.3 by Yi Cao at Cranfield University on 11th September 2011