With this package, I provide some MATLAB-functions regarding the rectangular assignment problem. This problem appears for example in tracking applications, where one has M existing tracks and N new measurements. For each possible assignment, a cost or distance is computed. All cost values form a matrix, where the row index corresponds to the tracks and the column index corresponds to the measurements. The provided functions return an optimal or suboptimal assignment - in the sense of minimum overall costs - for the given matrix.
In the process of gating, typically very unlikely assignments are forbidden. The given functions can handle forbidden assignments, which are marked by setting the corresponding assignment cost to infinity.
The optimal solution is computed using Munkres algorithm, also known as Hungarian Algorithm.
The functions are called like
[assignment, cost] = assignmentalgorithm(distMatrix);
Markus Buehren (2023). Functions for the rectangular assignment problem (https://www.mathworks.com/matlabcentral/fileexchange/6543-functions-for-the-rectangular-assignment-problem), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired: Rectangular maximal assignment with lattice of dual price, Munkres for Simulink, Munkres Assignment Algorithm, Hungarian Algorithm for Linear Assignment Problems (V2.3), A Framework for Structural Input/Output and Control Configuration Selection in Large-Scale Systems
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Updated munkres_wrap.m to be compatible to the version from http://www.mathworks.com/matlabcentral/fileexchange/20652 as well
* Bugfix: free replaced by mxFree in assignmentsuboptimal2.c
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