bts4-cta: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jordi Castro
Description: 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.
MIPLIB Entry

Parent Instance (bts4-cta)

All other instances below were be compared against this "query" instance.

bts4-cta Raw bts4-cta Decomposed bts4-cta Composite of MIC top 5 bts4-cta Composite of MIPLIB top 5 bts4-cta Model Group Composite
Raw This is the CCM image before the decomposition procedure has been applied.
Decomposed This is the CCM image after a decomposition procedure has been applied. This is the image used by the MIC's image-based comparisons for this query instance.
Composite of MIC Top 5 Composite of the five decomposed CCM images from the MIC Top 5.
Composite of MIPLIB Top 5 Composite of the five decomposed CCM images from the MIPLIB Top 5.
Model Group Composite Image Composite of the decomposed CCM images for every instance in the same model group as this query.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
stp3d decomposed shiftreg2-7 decomposed shiftreg1-4 decomposed neos-3660371-kurow decomposed neos-3083784-nive decomposed
Name stp3d [MIPLIB] shiftreg2-7 [MIPLIB] shiftreg1-4 [MIPLIB] neos-3660371-kurow [MIPLIB] neos-3083784-nive [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.719 2 / 0.769 3 / 0.782 4 / 0.815 5 / 0.816
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
stp3d raw shiftreg2-7 raw shiftreg1-4 raw neos-3660371-kurow raw neos-3083784-nive raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
unitcal_7 decomposed a2c1s1 decomposed a1c1s1 decomposed mod011 decomposed dg012142 decomposed
Name unitcal_7 [MIPLIB] a2c1s1 [MIPLIB] a1c1s1 [MIPLIB] mod011 [MIPLIB] dg012142 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all model groups. A smaller ISS value indicates greater similarity.
70 / 0.967 377 / 1.423 381 / 1.429 612 / 1.724 741 / 1.980
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
unitcal_7 raw a2c1s1 raw a1c1s1 raw mod011 raw dg012142 raw

Instance Summary

The table below contains summary information for bts4-cta, the five most similar instances to bts4-cta according to the MIC, and the five most similar instances to bts4-cta according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance bts4-cta [MIPLIB] Jordi Castro 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. 0.000000 -
MIC Top 5 stp3d [MIPLIB] T. Koch Steiner tree packing instance in a 3 dimensional grid-graph, LP relaxation is highly degenerate. Alkis Vazacopoulos reports finding the first feasible solution of this instance using XPRESS 2006B. This instance was solved by a first implementation of ParaSCIP using up to 2048 cores of HLRN-II(http://www.hlrn.de). ParaSCIP, mainly developed by Yuji Shinano, is an extension of SCIP and realizes a parallelization on a distributed memory computing environment. For being able to interrupt and warmstart the computations, ParaSCIP has a checkpoint mechanism. Therefore, selected subproblems are stored as warm start information, which allows to virtually run ParaSCIP, although the HLRN-II environment imposes a time limit of 48 hours per run. The problem was presolved several times with SCIP presolving techniques. After that, it took approximately 114 hours to solve this instance. 0.719460 1
shiftreg2-7 [MIPLIB] Domenico Salvagnin Multi-activity shift scheduling problem with 2 activities and 12 employees, using an implicit model based on a regular language. 0.769345 2
shiftreg1-4 [MIPLIB] Domenico Salvagnin Multi-activity shift scheduling problem with 1 activity and 12 employees, using an implicit model based on a regular language. 0.781764 3
neos-3660371-kurow [MIPLIB] Jeff Linderoth (None provided) 0.814944 4
neos-3083784-nive [MIPLIB] Jeff Linderoth (None provided) 0.815739 5
MIPLIB Top 5 unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 0.967252 70
a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 1.423261 377
a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 1.428726 381
mod011 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.724105 612
dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 1.980390 741


bts4-cta: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: cta
Assigned Model Group Rank/ISS in the MIC: 167 / 3.258

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: neos-pseudoapplication-2 Model group: sp_product Model group: map Model group: allcolor Model group: ab
Name neos-pseudoapplication-2 sp_product map allcolor ab
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 1.190 2 / 1.233 3 / 1.254 4 / 1.274 5 / 1.328

Model Group Summary

The table below contains summary information for the five most similar model groups to bts4-cta according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.189532 1
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.232894 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.253561 3
allcolor Domenico Salvagnin Prepack optimization model. 1.273709 4
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.327765 5