Submitter Variables Constraints Density Status Group Objective MPS File
Jordi Castro 20409 230 8.7046e-03 easy cta 0 osorio-cta.mps.gz

Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 20409 20007
Constraints 230 228
Binaries 7 7
Integers 0 0
Continuous 20402 20000
Implicit Integers 0 0
Fixed Variables 402 0
Nonzero Density 0.00870460 0.00878114
Nonzeroes 40860 40056
Constraint Classification Properties
Original Presolved
Total 230 228
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 28 28
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 202 200
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.903090
Constraint % 1.7543900 1.7543900 1.7543900 1.7543900
Variable % 0.0149948 0.0149948 0.0149948 0.0149948
Score 0.122789

Best Known Solution(s)

No solution available for osorio-cta .

Similar instances in collection

The following instances are most similar to osorio-cta in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
bts4-cta 75400 2260 0 73140 45350 291904 Jordi Castro cta open 472243.4174959*
ns4-pr6 6919 0 37 6882 2639 20868 MIPLIB submission pool nus-prxy easy 29314
supportcase35 12941 576 0 12365 6334 29908 Domenico Salvagnin open -314.50002158*
f2gap40400 400 400 0 0 40 800 Salim Haddadi f2gap easy 20772
supportcase41 4725 2000 0 2725 28923 221321 Domenico Salvagnin open 32.03376809388*

Reference

@ARTICLE{Castro2006,
  author =       {J. Castro},
  title =        {Minimum-distance controlled perturbation methods for large-scale tabular data protection},
  journal =      {European Journal of Operational Research},
  year =         {2006},
  volume =       {171},
  pages =        {39--52},
}
@ARTICLE{Castro2011,
  author =       {J. A. González, J. Castro},
  title =        {A heuristic block coordinate descent approach for controlled tabular adjustment},
  journal =      {Computers & Operations Research},
  year =         {2011},
  volume =       {38},
  pages =        {1826--1835},
}
@ARTICLE{Castro2012,
  author =       {J. Castro},
  title =        {Recent advances in optimization techniques for statistical tabular data protection},
  journal =      {European Journal of Operational Research},
  year =         {2012},
  volume =       {216},
  pages =        {257--269},
}

@ARTICLE{CastroFrangioniGentile2014,
  author =       {J. Castro, A. Frangioni, C. Gentile},
  title =        {Perspective reformulations of the CTA problem with L2 distances},
  journal =      {Operations Research},
  year =         {2014},
  volume =       {62},
  pages =        {891--909},
}

@ARTICLE{BaenaCastroGonzalez2015,
  author =       {D. Baena, J. Castro, J. A. González},
  title =        {Fix-and-relax approaches for controlled tabular adjustment},
  journal =      {Computers & Operations Research},
  year =         {2015},
  volume =       {58},
  pages =        {41--52},
}

Last Update Nov 19, 2018 by Gregor Hendel
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