bts4-cta

decomposition numerics variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jordi Castro 75400 45350 8.53673e-05 open cta 472243.4174959* bts4-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 75400 75399
Constraints 45350 45350
Binaries 2260 2260
Integers 0 0
Continuous 73140 73139
Implicit Integers 0 0
Fixed Variables 1 0
Nonzero Density 8.53673e-05 8.53678e-05
Nonzeroes 291904 291902
Constraint Classification Properties
Original Presolved
Total 45350 45350
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 9040 9040
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 36310 36310
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 2.354108
Constraint % 0.0154355 0.444444 0.0352811 10.90630
Variable % 0.0185679 0.444444 0.0424409 9.49084
Score 0.955560

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 472243.4 525661.4 6.3e-06 1e-06 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bts4-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
unitcal_7 easy 25755 2856 0 22899 48939 127595 R. O’Neill 19635558.244 benchmark benchmark_suitable precedence variable_bound mixed_binary general_linear
mod011 easy 10958 96 0 10862 4480 22254 MIPLIB submission pool mod -54558535.59 numerics aggregations variable_bound set_packing mixed_binary
a1c1s1 easy 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 11503.444125 benchmark_suitable aggregations variable_bound mixed_binary
a2c1s1 easy 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 10889.137625 benchmark_suitable aggregations variable_bound mixed_binary
dg012142 hard 2080 640 0 1440 6310 14795 A. Miller 2300867 aggregations 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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