shs1042: Instance-to-Instance Comparison Results

Type: Instance
Submitter: C. Helmberg
Description: Joint online truck scheduling and inventory management for multiple warehouses.
MIPLIB Entry

Parent Instance (shs1042)

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

shs1042 Raw shs1042 Decomposed shs1042 Composite of MIC top 5 shs1042 Composite of MIPLIB top 5 shs1042 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.
shs1014 decomposed shs1023 decomposed stein15inf decomposed markshare1 decomposed scpm1 decomposed
Name shs1014 [MIPLIB] shs1023 [MIPLIB] stein15inf [MIPLIB] markshare1 [MIPLIB] scpm1 [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 / 0.364 2 / 0.457 3 / 1.198 4 / 1.205 5 / 1.210
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
shs1014 raw shs1023 raw stein15inf raw markshare1 raw scpm1 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.
shs1014 decomposed shs1023 decomposed snp-04-052-052 decomposed snp-10-052-052 decomposed snp-10-004-052 decomposed
Name shs1014 [MIPLIB] shs1023 [MIPLIB] snp-04-052-052 [MIPLIB] snp-10-052-052 [MIPLIB] snp-10-004-052 [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.
1 / 0.364 2 / 0.457 219 / 1.517 470 / 1.681 624 / 1.796
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
shs1014 raw shs1023 raw snp-04-052-052 raw snp-10-052-052 raw snp-10-004-052 raw

Instance Summary

The table below contains summary information for shs1042, the five most similar instances to shs1042 according to the MIC, and the five most similar instances to shs1042 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance shs1042 [MIPLIB] C. Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 0.000000 -
MIC Top 5 shs1014 [MIPLIB] Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 0.363750 1
shs1023 [MIPLIB] C. Helmberg Joint online truck scheduling and inventory management for multiple warehouses. The problem was solved by CPLEX 12.5 on a Intel Xeon E7540 @ 2.00 GHz, 1TB with 24 cores and 24 threads. The maximum memory requirements were 410GB. It took approximately 114.5 hours. 0.457441 2
stein15inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.198212 3
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.204568 4
scpm1 [MIPLIB] Shunji Umetani This is a random test instance generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five instances. We have also generated reduced instances by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.209845 5
MIPLIB Top 5 shs1014 [MIPLIB] Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 0.363750 1
shs1023 [MIPLIB] C. Helmberg Joint online truck scheduling and inventory management for multiple warehouses. The problem was solved by CPLEX 12.5 on a Intel Xeon E7540 @ 2.00 GHz, 1TB with 24 cores and 24 threads. The maximum memory requirements were 410GB. It took approximately 114.5 hours. 0.457441 2
snp-04-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.517053 219
snp-10-052-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.680801 470
snp-10-004-052 [MIPLIB] Gerald Gamrath Supply network planning problems. 1.796165 624


shs1042: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: shs
Assigned Model Group Rank/ISS in the MIC: 1 / 0.471

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: shs Model group: scp Model group: markshare Model group: stein Model group: neos-pseudoapplication-74
Name shs scp markshare stein neos-pseudoapplication-74
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 / 0.471 2 / 1.536 3 / 1.627 4 / 1.637 5 / 1.804

Model Group Summary

The table below contains summary information for the five most similar model groups to shs1042 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 shs Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 0.471133 1
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.535823 2
markshare G. Cornuéjols, M. Dawande Market sharing problem 1.627104 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.637404 4
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.803878 5