supportcase31: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Domenico Salvagnin
Description: Instance coming from IBM developerWorks forum with unknown application.
MIPLIB Entry

Parent Instance (supportcase31)

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

supportcase31 Raw supportcase31 Decomposed supportcase31 Composite of MIC top 5 supportcase31 Composite of MIPLIB top 5 supportcase31 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.
k16x240b decomposed ab51-40-100 decomposed ab69-40-100 decomposed ab67-40-100 decomposed ab72-40-100 decomposed
Name k16x240b [MIPLIB] ab51-40-100 [MIPLIB] ab69-40-100 [MIPLIB] ab67-40-100 [MIPLIB] ab72-40-100 [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 / 0.361 2 / 0.367 3 / 0.376 4 / 0.379 5 / 0.379
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
k16x240b raw ab51-40-100 raw ab69-40-100 raw ab67-40-100 raw ab72-40-100 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.
blp-ic97 decomposed blp-ic98 decomposed gmut-76-40 decomposed gmut-76-50 decomposed gmut-75-50 decomposed
Name blp-ic97 [MIPLIB] blp-ic98 [MIPLIB] gmut-76-40 [MIPLIB] gmut-76-50 [MIPLIB] gmut-75-50 [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.
320 / 1.185 472 / 1.408 927 / 2.871 954 / 3.147 965 / 3.365
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
blp-ic97 raw blp-ic98 raw gmut-76-40 raw gmut-76-50 raw gmut-75-50 raw

Instance Summary

The table below contains summary information for supportcase31, the five most similar instances to supportcase31 according to the MIC, and the five most similar instances to supportcase31 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase31 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.000000 -
MIC Top 5 k16x240b [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.360858 1
ab51-40-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.367177 2
ab69-40-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.375609 3
ab67-40-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.378622 4
ab72-40-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.378886 5
MIPLIB Top 5 blp-ic97 [MIPLIB] M. Lübbecke Railway line planning instance. Solved using CPLEX 12.3 (12 threads) on an Intel Xeon X5650 @ 2.67GHz, 12MB cache, 24GB RAM in 4947.5 sec.\xa0Solved using Gurobi 4.6.1 (12 threads) in 1867.9 sec. 1.184787 320
blp-ic98 [MIPLIB] M. Lübbecke Railway line planning instance 1.407539 472
gmut-76-40 [MIPLIB] Nora Konnyu Timber harvest scheduling model These are harvest scheduling models of hypothetical forest planning problems where net timber revenues are maximized over a planning horizon subject to four sets of constraints: 1. Each management unit can be harvested only once over the planning horizon, 2. Volume harvested in one planning period should not be less or more than some portion of that in the preceding period, 3. Area-weighted average age of the forest by the end of the plan should notbe less than a certain target age. 4. Clearcut size in any planning period has to be below a specific limit. Decision variable are management units and generalized management units (group of management units with a combined area not exceeding the limit on clearcut size) and can be either fully harvested or left untouched in any planning period, therefore there is a binary restriction on the decision variables. 2.871143 927
gmut-76-50 [MIPLIB] Nora Konnyu Timber harvest scheduling model These are harvest scheduling models of hypothetical forest planning problems where net timber revenues are maximized over a planning horizon subject to four sets of constraints: 1. Each management unit can be harvested only once over the planning horizon, 2. Volume harvested in one planning period should not be less or more than some portion of that in the preceding period, 3. Area-weighted average age of the forest by the end of the plan should notbe less than a certain target age. 4. Clearcut size in any planning period has to be below a specific limit. Decision variable are management units and generalized management units (group of management units with a combined area not exceeding the limit on clearcut size) and can be either fully harvested or left untouched in any planning period, therefore there is a binary restriction on the decision variables. 3.146931 954
gmut-75-50 [MIPLIB] Nora Konnyu Timber harvest scheduling model. Solved by ParaXpress in a 12288 core supercomputer run on HLRN III. These are harvest scheduling models of hypothetical forest planning problems where net timber revenues are maximized over a planning horizon subject to four sets of constraints: 1. Each management unit can be harvested only once over the planning horizon, 2. Volume harvested in one planning period should not be less or more than some portion of that in the preceding period, 3. Area-weighted average age of the forest by the end of the plan should notbe less than a certain target age. 4. Clearcut size in any planning period has to be below a specific limit. Decision variable are management units and generalized management units (group of management units with a combined area not exceeding the limit on clearcut size) and can be either fully harvested or left untouched in any planning period, therefore there is a binary restriction on the decision variables. 3.364911 965


supportcase31: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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: ab Model group: seqsolve Model group: n37
Name neos-pseudoapplication-2 sp_product ab seqsolve n37
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 / 0.399 2 / 0.600 3 / 0.767 4 / 0.826 5 / 0.830

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase31 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.399267 1
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.599690 2
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.767033 3
seqsolve Irv Lustig The 3 problems in this group (seqsolve1-seqsolve3) represent a hierarchical optimization process, which is derived from a customer problem for assigning people to sites into blocks of time on days of the week. The specialty of this submission is that the best known solution for seqsolveX can be used as a MIP start for seqsolveX+1. For a description of the connections between the problems, please refer to the README.txt contained in the model data for this submission, which also includes MIP start files and a Gurobi log file. 0.826483 4
n37 J. Aronson Fixed charge transportation problem 0.830239 5