Science Score: 18.0%

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Keywords

linear-assignment-problem mo-optimization multi-objective-optimization optimization test-instances
Last synced: 6 months ago · JSON representation ·

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  • Host: GitHub
  • Owner: MCDMSociety
  • Language: TeX
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linear-assignment-problem mo-optimization multi-objective-optimization optimization test-instances
Created over 8 years ago · Last pushed over 8 years ago
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Readme Citation

ReadMe.md

Bicriterion linear assignment problems

The paper consider 10 instances for the classical bi-objective linear assignment problem.

Test instances

Instances are named Tuyttens_AP_n<n>.<raw/xml> where n is the size of the problem. The paper considers instances of size 5-50; however, the instance set also contains 5 instances of size 60-100. Costs are generated random in [0,19].

All instance files are given in both xml and raw format. The xml format is self explainable (see e.g. ex1).

Raw format description

We use the following parameter names:

  • $n$ = dimension/size
  • $c^{k}_{r,c}$ = $k$'th cost of assigning row $r$ to column $c$.

The instances have the following format:

n c^{0}_{0,0}... c^{0}_{0,n-1} c^{0}_{1,0}... c^{0}_{1,n-1} ... c^{0}_{n-1,0}... c^{0}_{n-1,n-1} c^{1}_{0,0}... c^{1}_{0,n-1} c^{1}_{1,0}... c^{1}_{1,n-1} ... c^{1}_{n-1,0}... c^{1}_{n-1,n-1}

That is, first the dimension, then the costs for the first criterion and next the cost for the second criterion.

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  • Name: MCDMSociety
  • Login: MCDMSociety
  • Kind: organization

Citation (citation.bib)

@Article{Tuyttens00,
author={Tuyttens, D. and Teghem, J. and Fortemps, Ph. and Nieuwenhuyze, K. Van},
title={Performance of the MOSA Method for the Bicriteria Assignment Problem},
journal={Journal of Heuristics},
year={2000},
volume={6},
number={3},
pages={295--310},
doi={10.1023/A:1009670112978},
}

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