csched010: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Tallys Yunes
Description: Cumulative scheduling problem instance
MIPLIB Entry

Parent Instance (csched010)

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

csched010 Raw csched010 Decomposed csched010 Composite of MIC top 5 csched010 Composite of MIPLIB top 5 csched010 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.
csched007 decomposed csched008 decomposed bppc8-02 decomposed assign1-5-8 decomposed gen-ip021 decomposed
Name csched007 [MIPLIB] csched008 [MIPLIB] bppc8-02 [MIPLIB] assign1-5-8 [MIPLIB] gen-ip021 [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 / 0.970 2 / 1.024 3 / 1.114 4 / 1.156 5 / 1.189
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
csched007 raw csched008 raw bppc8-02 raw assign1-5-8 raw gen-ip021 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.
csched007 decomposed csched008 decomposed neos-3009394-lami decomposed 30n20b8 decomposed neos-5182409-nasivi decomposed
Name csched007 [MIPLIB] csched008 [MIPLIB] neos-3009394-lami [MIPLIB] 30n20b8 [MIPLIB] neos-5182409-nasivi [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 / 0.970 2 / 1.024 487 / 1.789 777 / 1.895 858 / 1.988
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
csched007 raw csched008 raw neos-3009394-lami raw 30n20b8 raw neos-5182409-nasivi raw

Instance Summary

The table below contains summary information for csched010, the five most similar instances to csched010 according to the MIC, and the five most similar instances to csched010 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance csched010 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 0.000000 -
MIC Top 5 csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 0.970160 1
csched008 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.023579 2
bppc8-02 [MIPLIB] Manuel Iori The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P||Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the instances of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998). 1.113598 3
assign1-5-8 [MIPLIB] Robert Fourer Imported from the MIPLIB2010 submissions. 1.155599 4
gen-ip021 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.189275 5
MIPLIB Top 5 csched007 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 0.970160 1
csched008 [MIPLIB] Tallys Yunes Cumulative scheduling problem instance 1.023579 2
neos-3009394-lami [MIPLIB] Jeff Linderoth (None provided) 1.789452 487
30n20b8 [MIPLIB] E. Coughlan, M. Lübbecke, J. Schulz Multi-mode resource leveling with availability constraint 1.894729 777
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 1.988469 858


csched010: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: csched
Assigned Model Group Rank/ISS in the MIC: 1 / 1.511

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: csched Model group: neos-pseudoapplication-21 Model group: scp Model group: stein Model group: generated
Name csched neos-pseudoapplication-21 scp stein generated
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 / 1.511 2 / 1.528 3 / 1.562 4 / 1.668 5 / 1.671

Model Group Summary

The table below contains summary information for the five most similar model groups to csched010 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 csched Tallys Yunes Cumulative scheduling problem model 1.511172 1
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.528412 2
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 1.561760 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.667836 4
generated Simon Bowly Randomly generated integer and binary programming models. These results are part of an early phase of work aimed at generating diverse and challenging MIP models for experimental testing. We have aimed to produce small integer and binary programming models which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.671404 5