qnet1_o: Instance-to-Instance Comparison Results

Type: Instance
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (qnet1_o)

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

qnet1_o Raw qnet1_o Decomposed qnet1_o Composite of MIC top 5 qnet1_o Composite of MIPLIB top 5 qnet1_o 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.
f2gap40400 decomposed bppc8-02 decomposed ponderthis0517-inf decomposed gen-ip054 decomposed gen-ip002 decomposed
Name f2gap40400 [MIPLIB] bppc8-02 [MIPLIB] ponderthis0517-inf [MIPLIB] gen-ip054 [MIPLIB] gen-ip002 [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 / 1.014 2 / 1.075 3 / 1.082 4 / 1.114 5 / 1.123
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
f2gap40400 raw bppc8-02 raw ponderthis0517-inf raw gen-ip054 raw gen-ip002 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.
qnet1 decomposed rococoC11-010100 decomposed rococoB10-011000 decomposed rococoC11-011100 decomposed rococoC10-001000 decomposed
Name qnet1 [MIPLIB] rococoC11-010100 [MIPLIB] rococoB10-011000 [MIPLIB] rococoC11-011100 [MIPLIB] rococoC10-001000 [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.
214 / 1.489 856 / 1.873 894 / 2.016 895 / 2.017 897 / 2.025
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
qnet1 raw rococoC11-010100 raw rococoB10-011000 raw rococoC11-011100 raw rococoC10-001000 raw

Instance Summary

The table below contains summary information for qnet1_o, the five most similar instances to qnet1_o according to the MIC, and the five most similar instances to qnet1_o according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance qnet1_o [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.014199 1
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). 1.075381 2
ponderthis0517-inf [MIPLIB] Rob Pratt Infeasible version of IBM Ponder This problem (with 52 characters and no spaces) from May 2017: https://www.research.ibm.com/haifa/ponderthis/challenges/May2017.html 1.082006 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. 1.113680 4
gen-ip002 [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. 1.123351 5
MIPLIB Top 5 qnet1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.488987 214
rococoC11-010100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. 1.873255 856
rococoB10-011000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 2.016264 894
rococoC11-011100 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network. Solved by Gurobi 4.5.1 (4 threads) in 66892.47 seconds. 2.016775 895
rococoC10-001000 [MIPLIB] A. Chabrier, E. Danna, C. Le Pape, L. Perron Model for dimensioning the arc capacities in a telecommunication network 2.025199 897


qnet1_o: 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: neos-pseudoapplication-21 Model group: timtab Model group: scp Model group: neos-pseudoapplication-40 Model group: enlight
Name neos-pseudoapplication-21 timtab scp neos-pseudoapplication-40 enlight
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 / 1.522 2 / 1.528 3 / 1.542 4 / 1.654 5 / 1.659

Model Group Summary

The table below contains summary information for the five most similar model groups to qnet1_o according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.521633 1
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.528120 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 1.541657 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.653633 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.658732 5