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.

Location of instance in collection

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.

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	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	323.8387873868924	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	–	3109.903477759654*	numerics precedence variable_bound invariant_knapsack mixed_binary
neos-4232544-orira	open	87060	38280	5700	43080	180600	492456	Jeff Linderoth	neos-pseudoapplication-57	5538597.399999999*	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},
}