fhnw-binpack4-77: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Simon Felix
Description: Feasability-only 3D bin packing with additional constraints
MIPLIB Entry

Parent Instance (fhnw-binpack4-77)

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

fhnw-binpack4-77 Raw fhnw-binpack4-77 Decomposed fhnw-binpack4-77 Composite of MIC top 5 fhnw-binpack4-77 Composite of MIPLIB top 5 fhnw-binpack4-77 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.
fhnw-schedule-paira100 decomposed tanglegram4 decomposed fhnw-schedule-paira200 decomposed probportfolio decomposed fhnw-schedule-paira400 decomposed
Name fhnw-schedule-paira100 [MIPLIB] tanglegram4 [MIPLIB] fhnw-schedule-paira200 [MIPLIB] probportfolio [MIPLIB] fhnw-schedule-paira400 [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 / 0.493 2 / 0.509 3 / 0.512 4 / 0.564 5 / 0.583
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
fhnw-schedule-paira100 raw tanglegram4 raw fhnw-schedule-paira200 raw probportfolio raw fhnw-schedule-paira400 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.
fhnw-binpack4-4 decomposed fhnw-binpack4-58 decomposed fhnw-binpack4-18 decomposed fhnw-binpack4-48 decomposed neos-3603137-hoteo decomposed
Name fhnw-binpack4-4 [MIPLIB] fhnw-binpack4-58 [MIPLIB] fhnw-binpack4-18 [MIPLIB] fhnw-binpack4-48 [MIPLIB] neos-3603137-hoteo [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.
307 / 1.353 310 / 1.354 318 / 1.361 322 / 1.366 762 / 2.015
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
fhnw-binpack4-4 raw fhnw-binpack4-58 raw fhnw-binpack4-18 raw fhnw-binpack4-48 raw neos-3603137-hoteo raw

Instance Summary

The table below contains summary information for fhnw-binpack4-77, the five most similar instances to fhnw-binpack4-77 according to the MIC, and the five most similar instances to fhnw-binpack4-77 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance fhnw-binpack4-77 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 0.000000 -
MIC Top 5 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. 0.492831 1
tanglegram4 [MIPLIB] Falk Hueffner The NP-hard Balanced Subgraph problem (variant of MaxCut) encoded as ILPs. Real-world instances from two applications from bioinformatics, finding monotone subsystems in gene regulatory networks (http://dx.doi.org/10.1007/s10878-009-9212-2) and finding optimal layouts of tanglegrams (http://dx.doi.org/10.1007/978-3-642-11269-0). 0.509344 2
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. 0.511527 3
probportfolio [MIPLIB] Feng Qiu Sample average approximation formulation of a probabilistic portfolio optimization problem. Solved using ug[SCIP/spx], a distributed massively parallel version of SCIP run on 2,000 cores at the HLRN-II super computer facility. 0.563511 4
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. 0.582899 5
MIPLIB Top 5 fhnw-binpack4-4 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 1.352774 307
fhnw-binpack4-58 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 1.353955 310
fhnw-binpack4-18 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 1.361358 318
fhnw-binpack4-48 [MIPLIB] Simon Felix Feasability-only 3D bin packing with additional constraints 1.365911 322
neos-3603137-hoteo [MIPLIB] Jeff Linderoth (None provided) 2.014586 762


fhnw-binpack4-77: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: binpack
Assigned Model Group Rank/ISS in the MIC: 65 / 2.136

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: polygonpack Model group: map Model group: rmatr Model group: sp_product Model group: neos-pseudoapplication-109
Name polygonpack map rmatr sp_product neos-pseudoapplication-109
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 / 1.012 2 / 1.025 3 / 1.036 4 / 1.177 5 / 1.180

Model Group Summary

The table below contains summary information for the five most similar model groups to fhnw-binpack4-77 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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. 1.012377 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.025496 2
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.035730 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.177391 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.180122 5