cbs-cta

benchmark decomposition benchmark_suitable variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jordi Castro 24793 10112 2.56826e-04 easy cta 0 cbs-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 24793 8293
Constraints 10112 10112
Binaries 2467 2467
Integers 0 0
Continuous 22326 5826
Implicit Integers 0 0
Fixed Variables 16500 0
Nonzero Density 0.000256826 0.000374296
Nonzeroes 64388 31388
Constraint Classification Properties
Original Presolved
Total 10112 10112
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 9868 9868
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 244 244
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 3.392345
Constraint % 0.0395570 0.0395570 0.0395570 0.0395570
Variable % 0.0361751 0.0361751 0.0361751 0.0361751
Score 0.975517

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 0 0 5.5e-06 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to cbs-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
neos-5075914-elvire easy 5003 2638 0 2365 3720 11440 Jeff Linderoth neos-pseudoapplication-35 323.83878739 numerics aggregations precedence variable_bound set_packing mixed_binary
neos-4358725-tagus open 11494 4898 0 6596 22777 59925 Jeff Linderoth neos-pseudoapplication-57 4206.140099965* numerics aggregations precedence variable_bound set_partitioning invariant_knapsack mixed_binary general_linear
minutedispatchstrategy open 41761 20156 0 21605 80194 239480 Mark Husted 3109.9034778* numerics precedence variable_bound invariant_knapsack mixed_binary
neos-4232544-orira open 87060 38280 5700 43080 180600 492456 Jeff Linderoth neos-pseudoapplication-57 51015596.2014* numerics aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack integer_knapsack mixed_binary general_linear
neos-4264598-oueme open 54550 13370 0 41180 54714 191146 Jeff Linderoth neos-pseudoapplication-57 6038453.676499* numerics aggregations precedence variable_bound invariant_knapsack mixed_binary general_linear

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 Jun 24, 2019 by Gregor Hendel
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