osorio-cta

numerics variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jordi Castro 20409 230 8.7046e-03 easy cta 0.0289392002 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)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 0.0289392 1e+100 0 0 0 Gregor Hendel 2018-11-30 “Found using a developer version of SCIP 6.0.1”

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

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 Mär 19, 2019 by Gregor Hendel
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