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    		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.![]() ![]()  | 
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								 Raw
				  					This is the CCM image before the decomposition procedure has been applied.
								 
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								 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.
								 
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								 Composite of MIC Top 5
				  					Composite of the five decomposed CCM images from the MIC Top 5.
								 
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								 Composite of MIPLIB Top 5
				  					Composite of the five decomposed CCM images from the MIPLIB Top 5.
								 
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								 Model Group Composite Image
				  					Composite of the decomposed CCM images for every instance in the same model group as this query.
								 
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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.
								 
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| Name | stp3d [MIPLIB] | shiftreg2-7 [MIPLIB] | shiftreg1-4 [MIPLIB] | neos-3660371-kurow [MIPLIB] | neos-3083784-nive [MIPLIB] | |
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								 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.
								 
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    						1 / 0.719 | 2 / 0.769 | 3 / 0.782 | 4 / 0.815 | 5 / 0.816 | |
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								 Raw
				  					These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
								 
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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.
								 
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| Name | unitcal_7 [MIPLIB] | a2c1s1 [MIPLIB] | a1c1s1 [MIPLIB] | mod011 [MIPLIB] | dg012142 [MIPLIB] | |
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								 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.
								 
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    						70 / 0.967 | 377 / 1.423 | 381 / 1.429 | 612 / 1.724 | 741 / 1.980 | |
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								 Raw
				  					These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
								 
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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.
								 
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| Name | neos-pseudoapplication-2 | sp_product | map | allcolor | ab | |
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								 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.
								 
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    						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 | 

































