Submitter | Variables | Constraints | Density | Status | Group | Objective | MPS File |
---|---|---|---|---|---|---|---|
Jordi Castro | 37951 | 20097 | 1.38245e-04 | easy | cta | 0 | dale-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.
Detailed explanation of the following tables can be found here.
Original | Presolved | |
---|---|---|
Variables | 37951 | 34785 |
Constraints | 20097 | 20097 |
Binaries | 4923 | 4923 |
Integers | 0 | 0 |
Continuous | 33028 | 29862 |
Implicit Integers | 0 | 0 |
Fixed Variables | 3166 | 0 |
Nonzero Density | 0.000138245 | 0.000141770 |
Nonzeroes | 105440 | 99108 |
Original | Presolved | |
---|---|---|
Total | 20097 | 20097 |
Empty | 0 | 0 |
Free | 0 | 0 |
Singleton | 0 | 0 |
Aggregations | 0 | 0 |
Precedence | 0 | 0 |
Variable Bound | 19692 | 19692 |
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 | 405 | 405 |
General Linear | 0 | 0 |
Indicator | 0 | 0 |
Available nonzero structure and decomposition information. Further information can be found here.
Decomposed structure of original problem (dec-file)
Decomposed structure after trivial presolving (dec-file)
value | min | median | mean | max | |
---|---|---|---|---|---|
Components | 3.692318 | ||||
Constraint % | 0.0199035 | 0.0199035 | 0.0199035 | 0.0199035 | |
Variable % | 0.0086200 | 0.0086200 | 0.0086200 | 0.0086200 | |
Score | 0.979763 |
No solution available for dale-cta .
The following instances are most similar to dale-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 |
---|---|---|---|---|---|---|---|---|---|---|---|
tr12-30 | easy | 1080 | 360 | 0 | 720 | 750 | 2508 | MIPLIB submission pool | – | 130595.9999999999 | benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary |
bg512142 | hard | 792 | 240 | 0 | 552 | 1307 | 3953 | A. Miller | – | 184202.75 | aggregations precedence variable_bound mixed_binary |
dg012142 | hard | 2080 | 640 | 0 | 1440 | 6310 | 14795 | A. Miller | – | 2300867 | aggregations precedence variable_bound mixed_binary |
mc11 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 11688.99999999966 | benchmark decomposition benchmark_suitable variable_bound mixed_binary |
mc8 | easy | 3040 | 1520 | 0 | 1520 | 1920 | 6080 | F. Ortega, L. Wolsey | mc | 1566 | decomposition benchmark_suitable variable_bound mixed_binary |
@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},
}