nh97_potential: Instance-to-Instance Comparison Results

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

Parent Instance (nh97_potential)

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

nh97_potential Raw nh97_potential Decomposed nh97_potential Composite of MIC top 5 nh97_potential Composite of MIPLIB top 5 nh97_potential 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-3610051-istra decomposed neos-3610173-itata decomposed momentum3 decomposed breastcancer-regularized decomposed neos-3046615-murg decomposed
Name neos-3610051-istra [MIPLIB] neos-3610173-itata [MIPLIB] momentum3 [MIPLIB] breastcancer-regularized [MIPLIB] neos-3046615-murg [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 / 1.051 2 / 1.061 3 / 1.074 4 / 1.077 5 / 1.084
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3610051-istra raw neos-3610173-itata raw momentum3 raw breastcancer-regularized raw neos-3046615-murg 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.
ic97_potential decomposed fhnw-schedule-paira400 decomposed fhnw-schedule-paira100 decomposed fhnw-schedule-paira200 decomposed icir97_potential decomposed
Name ic97_potential [MIPLIB] fhnw-schedule-paira400 [MIPLIB] fhnw-schedule-paira100 [MIPLIB] fhnw-schedule-paira200 [MIPLIB] icir97_potential [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.
12 / 1.151 100 / 1.296 211 / 1.379 216 / 1.384 255 / 1.426
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ic97_potential raw fhnw-schedule-paira400 raw fhnw-schedule-paira100 raw fhnw-schedule-paira200 raw icir97_potential raw

Instance Summary

The table below contains summary information for nh97_potential, the five most similar instances to nh97_potential according to the MIC, and the five most similar instances to nh97_potential according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nh97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos-3610051-istra [MIPLIB] Jeff Linderoth (None provided) 1.050744 1
neos-3610173-itata [MIPLIB] Jeff Linderoth (None provided) 1.060555 2
momentum3 [MIPLIB] T. Koch Snapshot based UMTS planning problem, having a very wide dynamic range in the matrix coefficients and tending to be numerically unstable 1.073605 3
breastcancer-regularized [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.077134 4
neos-3046615-murg [MIPLIB] Jeff Linderoth (None provided) 1.083629 5
MIPLIB Top 5 ic97_potential [MIPLIB] L. Peeters A model for cyclic railway timetable optimization 1.150765 12
fhnw-schedule-paira400 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 1.295919 100
fhnw-schedule-paira100 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 1.379301 211
fhnw-schedule-paira200 [MIPLIB] Simon Felix Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem ("Pair A", "Pair B" and "Slot") - we expect "Pair B" to be the best formulation. 1.384485 216
icir97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.426136 255


nh97_potential: 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: rmatr Model group: map Model group: neos-pseudoapplication-54 Model group: ustun Model group: scp
Name rmatr map neos-pseudoapplication-54 ustun scp
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 / 1.450 2 / 1.497 3 / 1.510 4 / 1.550 5 / 1.573

Model Group Summary

The table below contains summary information for the five most similar model groups to nh97_potential according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.450105 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.496580 2
neos-pseudoapplication-54 Jeff Linderoth (None provided) 1.509548 3
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.549554 4
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 1.573320 5


Updated August 16, 2019