istanbul-no-cutoff: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Utz-Uwe Haus
Description: Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains
MIPLIB Entry

Parent Instance (istanbul-no-cutoff)

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

istanbul-no-cutoff Raw istanbul-no-cutoff Decomposed istanbul-no-cutoff Composite of MIC top 5 istanbul-no-cutoff Composite of MIPLIB top 5 istanbul-no-cutoff 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.
supportcase1 decomposed rmatr200-p5 decomposed rmatr200-p10 decomposed map14860-20 decomposed rmatr200-p20 decomposed
Name supportcase1 [MIPLIB] rmatr200-p5 [MIPLIB] rmatr200-p10 [MIPLIB] map14860-20 [MIPLIB] rmatr200-p20 [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 / 0.525 2 / 0.614 3 / 0.616 4 / 0.625 5 / 0.627
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
supportcase1 raw rmatr200-p5 raw rmatr200-p10 raw map14860-20 raw rmatr200-p20 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.
loopha13 decomposed net12 decomposed neos-3755335-nizao decomposed neos-3759587-noosa decomposed snip10x10-35r1budget17 decomposed
Name loopha13 [MIPLIB] net12 [MIPLIB] neos-3755335-nizao [MIPLIB] neos-3759587-noosa [MIPLIB] snip10x10-35r1budget17 [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.
169 / 1.098 174 / 1.108 412 / 1.489 501 / 1.583 561 / 1.653
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
loopha13 raw net12 raw neos-3755335-nizao raw neos-3759587-noosa raw snip10x10-35r1budget17 raw

Instance Summary

The table below contains summary information for istanbul-no-cutoff, the five most similar instances to istanbul-no-cutoff according to the MIC, and the five most similar instances to istanbul-no-cutoff according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance istanbul-no-cutoff [MIPLIB] Utz-Uwe Haus Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains 0.000000 -
MIC Top 5 supportcase1 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.525339 1
rmatr200-p5 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.613553 2
rmatr200-p10 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices. Solved by Gurobi 4.6.1 (12 threads) in 19644 seconds (January 2012). 0.615794 3
map14860-20 [MIPLIB] Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.625253 4
rmatr200-p20 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 0.626680 5
MIPLIB Top 5 loopha13 [MIPLIB] Hamideh This is a Gams model which uses CPLEX as a solver. 1.097691 169
net12 [MIPLIB] P. Belotti Network design instance 1.108377 174
neos-3755335-nizao [MIPLIB] Jeff Linderoth (None provided) 1.488719 412
neos-3759587-noosa [MIPLIB] Jeff Linderoth (None provided) 1.582914 501
snip10x10-35r1budget17 [MIPLIB] Utz-Uwe Haus Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains 1.653447 561


istanbul-no-cutoff: 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: polygonpack Model group: map Model group: neos-pseudoapplication-27 Model group: graphs
Name rmatr polygonpack map neos-pseudoapplication-27 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 / 0.627 2 / 0.663 3 / 0.724 4 / 0.914 5 / 0.991

Model Group Summary

The table below contains summary information for the five most similar model groups to istanbul-no-cutoff 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 0.627012 1
polygonpack Antonio Frangioni Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Model LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15. 0.663324 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.723661 3
neos-pseudoapplication-27 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.913927 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.991183 5


Updated August 16, 2019