australia-abs-cta

decomposition numerics aggregations variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jordi Castro	49758	3946	1.72105e-04	easy	cta	106.0589096028744	australia-abs-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.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	49758	14142
Constraints	3946	3946
Binaries	918	918
Integers	0	0
Continuous	48840	13224
Implicit Integers	0	0
Fixed Variables	35616	0
Nonzero Density	0.000172105	0.000605544
Nonzeroes	33792	33792

Constraint Classification Properties
	Original	Presolved
Total	3946	3946
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	1	1
Precedence	0	0
Variable Bound	3672	3672
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	273	273
General Linear	0	0
Indicator	0	0

Structure

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

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	2.963788
Constraint %		0.0253421	0.1012860	0.1013680	0.1013680
Variable %		0.0141423	0.0212057	0.0212134	0.0212134
Score	0.930619

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	106.0589	106.9047	8e-06	9e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to australia-abs-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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
cbs-cta	easy	24793	2467	22326	10112	64388	Jordi Castro	cta	0	benchmark decomposition benchmark_suitable variable_bound mixed_binary
atm20-100	hard	6480	2220	4260	4380	58878	Matthew Galati	–	2463621.57727541	decomposition variable_bound set_partitioning invariant_knapsack mixed_binary
dsbmip	easy	1886	192	1694	1182	7366	MIPLIB submission pool	–	-305.19817501	aggregations precedence variable_bound set_partitioning mixed_binary
misc04inf	easy	4897	30	4867	1726	17253	MIPLIB submission pool	misc	Infeasible	infeasible aggregations precedence variable_bound set_packing mixed_binary general_linear
dcmulti	easy	548	75	473	290	1315	MIPLIB submission pool	–	188182	decomposition precedence variable_bound set_packing cardinality invariant_knapsack 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},
}