supportcase39: Instance-to-Instance Comparison Results

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

Parent Instance (supportcase39)

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

supportcase39 Raw supportcase39 Decomposed supportcase39 Composite of MIC top 5 supportcase39 Composite of MIPLIB top 5 supportcase39 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.
neos-4647027-thurso decomposed neos-4647030-tutaki decomposed graphdraw-gemcutter decomposed gen-ip054 decomposed scpm1 decomposed
Name neos-4647027-thurso [MIPLIB] neos-4647030-tutaki [MIPLIB] graphdraw-gemcutter [MIPLIB] gen-ip054 [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 / 1.506 2 / 1.519 3 / 1.566 4 / 1.568 5 / 1.578
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4647027-thurso raw neos-4647030-tutaki raw graphdraw-gemcutter raw gen-ip054 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.
gen-ip016 decomposed gen-ip036 decomposed flugplinf decomposed haprp decomposed neos-5044663-wairoa decomposed
Name gen-ip016 [MIPLIB] gen-ip036 [MIPLIB] flugplinf [MIPLIB] haprp [MIPLIB] neos-5044663-wairoa [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.
7 / 1.612 28 / 1.710 38 / 1.738 183 / 1.906 923 / 2.771
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gen-ip016 raw gen-ip036 raw flugplinf raw haprp raw neos-5044663-wairoa raw

Instance Summary

The table below contains summary information for supportcase39, the five most similar instances to supportcase39 according to the MIC, and the five most similar instances to supportcase39 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase39 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.000000 -
MIC Top 5 neos-4647027-thurso [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.505780 1
neos-4647030-tutaki [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.519458 2
graphdraw-gemcutter [MIPLIB] Cézar Augusto Nascimento e Silva In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem. 1.566066 3
gen-ip054 [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. 1.567809 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 1.578267 5
MIPLIB Top 5 gen-ip016 [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. Solved with XPRESS in a few seconds. 1.611690 7
gen-ip036 [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. 1.709750 28
flugplinf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.737609 38
haprp [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.906302 183
neos-5044663-wairoa [MIPLIB] Hans Mittelmann NEOS submission with known submitter 2.771394 923


supportcase39: 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: scp Model group: markshare Model group: stein Model group: neos-pseudoapplication-21 Model group: shs
Name scp markshare stein neos-pseudoapplication-21 shs
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 / 2.029 2 / 2.068 3 / 2.160 4 / 2.172 5 / 2.179

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase39 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 2.029060 1
markshare G. Cornuéjols, M. Dawande Market sharing problem 2.067848 2
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.159838 3
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.172349 4
shs Christoph Helmberg Joint online truck scheduling and inventory management for multiple warehouses. 2.179223 5