maxgasflow: Instance-to-Instance Comparison Results

Type: Instance
Submitter: G. Gamrath
Description: Transport momentum maximization in a capacitated gas network, allowing cycles. Solved by Gurobi 5.0 in 2882 seconds (May 2012).
MIPLIB Entry

Parent Instance (maxgasflow)

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

maxgasflow Raw maxgasflow Decomposed maxgasflow Composite of MIC top 5 maxgasflow Composite of MIPLIB top 5 maxgasflow 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-4531126-vouga decomposed ns1111636 decomposed supportcase29 decomposed sing5 decomposed neos-4295773-pissa decomposed
Name neos-4531126-vouga [MIPLIB] ns1111636 [MIPLIB] supportcase29 [MIPLIB] sing5 [MIPLIB] neos-4295773-pissa [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 / 0.466 2 / 0.467 3 / 0.486 4 / 0.493 5 / 0.494
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4531126-vouga raw ns1111636 raw supportcase29 raw sing5 raw neos-4295773-pissa 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.
transportmoment decomposed neos-4333596-skien decomposed neos-5078479-escaut decomposed dsbmip decomposed dg012142 decomposed
Name transportmoment [MIPLIB] neos-4333596-skien [MIPLIB] neos-5078479-escaut [MIPLIB] dsbmip [MIPLIB] dg012142 [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.
504 / 1.542 541 / 1.576 547 / 1.579 609 / 1.664 736 / 1.912
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
transportmoment raw neos-4333596-skien raw neos-5078479-escaut raw dsbmip raw dg012142 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance maxgasflow [MIPLIB] G. Gamrath Transport momentum maximization in a capacitated gas network, allowing cycles. Solved by Gurobi 5.0 in 2882 seconds (May 2012). 0.000000 -
MIC Top 5 neos-4531126-vouga [MIPLIB] Jeff Linderoth (None provided) 0.466218 1
ns1111636 [MIPLIB] NEOS Server Submission Network routing problem. Solved in June 2013 by CPLEX 12.5.1 with 32 threads in about 102 hours. 0.467350 2
supportcase29 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 0.485534 3
sing5 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.492767 4
neos-4295773-pissa [MIPLIB] Jeff Linderoth (None provided) 0.494265 5
MIPLIB Top 5 transportmoment [MIPLIB] G. Gamrath Transport momentum maximization in a capacitated gas network, cycles are forbidden by pseudo pressures. Solved by Gurobi 4.6.1 (12 threads) in 30 seconds (January 2012). 1.541551 504
neos-4333596-skien [MIPLIB] Jeff Linderoth (None provided) 1.575874 541
neos-5078479-escaut [MIPLIB] Jeff Linderoth (None provided) 1.579495 547
dsbmip [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.663521 609
dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 1.912224 736


maxgasflow: 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: radiation Model group: n37 Model group: sp_product Model group: ab Model group: graphs
Name radiation n37 sp_product ab graphs
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 / 0.689 2 / 0.699 3 / 0.702 4 / 0.740 5 / 0.812

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 radiation Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 0.688807 1
n37 J. Aronson Fixed charge transportation problem 0.698933 2
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.701660 3
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.740403 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.811550 5