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gasprod2-1: Instance-to-Instance Comparison Results
| Type: | Instance |
| Submitter: | Andrew Stamps |
| Description: | Production planning model of a second industrial gas system. Two model instances included. |
| MIPLIB Entry |
Parent Instance (gasprod2-1)
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 | gasprod2-2 [MIPLIB] | eilC76-2 [MIPLIB] | neos-5013590-toitoi [MIPLIB] | 2club200v15p5scn [MIPLIB] | scpj4scip [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 / 0.593 | 2 / 1.160 | 3 / 1.177 | 4 / 1.218 | 5 / 1.262 | |
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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 | gasprod2-2 [MIPLIB] | gasprod1-3 [MIPLIB] | gasprod1-2 [MIPLIB] | gasprod1-1 [MIPLIB] | unitcal_7 [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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1 / 0.593 | 41 / 1.526 | 42 / 1.529 | 43 / 1.547 | 724 / 2.809 | |
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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 gasprod2-1, the five most similar instances to gasprod2-1 according to the MIC, and the five most similar instances to gasprod2-1 according to MIPLIB 2017.
| INSTANCE | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| Parent Instance | gasprod2-1 [MIPLIB] | Andrew Stamps | Production planning model of a second industrial gas system. Two model instances included. | 0.000000 | - |
| MIC Top 5 | gasprod2-2 [MIPLIB] | Andrew Stamps | Production planning model of a second industrial gas system. Two model instances included. | 0.593121 | 1 |
| eilC76-2 [MIPLIB] | J. Linderoth | Set partitioning problem approximation for capicated vehicle routing problem instance from TSPLIB Imported from the MIPLIB2010 submissions. | 1.160215 | 2 | |
| neos-5013590-toitoi [MIPLIB] | Hans Mittelmann | additional files should be Gurobi output and solution and submitter | 1.176891 | 3 | |
| 2club200v15p5scn [MIPLIB] | Balabhaskar Balasundaram | Maximum 2-club instance; graph; clique relaxations Solved with Gurobi 8.1 on 24 cores in approx. 23 hours. | 1.217862 | 4 | |
| scpj4scip [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 | 1.261685 | 5 | |
| MIPLIB Top 5 | gasprod2-2 [MIPLIB] | Andrew Stamps | Production planning model of a second industrial gas system. Two model instances included. | 0.593121 | 1 |
| gasprod1-3 [MIPLIB] | Andrew Stamps | Production planning model for an industrial gas process. Three instances of the model included. | 1.526233 | 41 | |
| gasprod1-2 [MIPLIB] | Andrew Stamps | Production planning model for an industrial gas process. Three instances of the model included. | 1.529459 | 42 | |
| gasprod1-1 [MIPLIB] | Andrew Stamps | Production planning model for an industrial gas process. Three instances of the model included. | 1.547311 | 43 | |
| unitcal_7 [MIPLIB] | R. O’Neill | California seven day unit commitment problem | 2.808926 | 724 |
gasprod2-1: Instance-to-Model Comparison Results
| Model Group Assignment from MIPLIB: | gasprod |
| Assigned Model Group Rank/ISS in the MIC: | 1 / 1.487 |
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 | gasprod | neos-pseudoapplication-23 | 2hopcds | iis | neos-pseudoapplication-103 | |
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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 / 1.488 | 2 / 1.697 | 3 / 1.775 | 4 / 1.798 | 5 / 1.879 |
Model Group Summary
The table below contains summary information for the five most similar model groups to gasprod2-1 according to the MIC.
| MODEL GROUP | SUBMITTER | DESCRIPTION | ISS | RANK | |
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| MIC Top 5 | gasprod | Andrew Stamps | Production planning model of a second industrial gas system. Two model models included. | 1.487619 | 1 |
| neos-pseudoapplication-23 | NEOS Server Submission | Imported from the MIPLIB2010 submissions. | 1.697365 | 2 | |
| 2hopcds | Austin Buchanan | A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. | 1.775359 | 3 | |
| iis | Marc Pfetsch | 23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created. | 1.797976 | 4 | |
| neos-pseudoapplication-103 | Hans Mittelmann | Collection of anonymous submissions to the NEOS Server for Optimization | 1.879387 | 5 |
