fhnw-schedule-paira400: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Simon Felix
Description: 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.
MIPLIB Entry

Parent Instance (fhnw-schedule-paira400)

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

fhnw-schedule-paira400 Raw fhnw-schedule-paira400 Decomposed fhnw-schedule-paira400 Composite of MIC top 5 fhnw-schedule-paira400 Composite of MIPLIB top 5 fhnw-schedule-paira400 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-paira200 decomposed tanglegram4 decomposed fhnw-schedule-paira100 decomposed polygonpack4-10 decomposed polygonpack4-7 decomposed
Name fhnw-schedule-paira200 [MIPLIB] tanglegram4 [MIPLIB] fhnw-schedule-paira100 [MIPLIB] polygonpack4-10 [MIPLIB] polygonpack4-7 [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 / 0.316 2 / 0.318 3 / 0.334 4 / 0.368 5 / 0.410
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
fhnw-schedule-paira200 raw tanglegram4 raw fhnw-schedule-paira100 raw polygonpack4-10 raw polygonpack4-7 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-schedule-paira200 decomposed fhnw-schedule-paira100 decomposed pg5_34 decomposed pg decomposed nh97_potential decomposed
Name fhnw-schedule-paira200 [MIPLIB] fhnw-schedule-paira100 [MIPLIB] pg5_34 [MIPLIB] pg [MIPLIB] nh97_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.
1 / 0.316 3 / 0.334 229 / 1.117 286 / 1.219 341 / 1.296
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
fhnw-schedule-paira200 raw fhnw-schedule-paira100 raw pg5_34 raw pg raw nh97_potential raw

Instance Summary

The table below contains summary information for fhnw-schedule-paira400, the five most similar instances to fhnw-schedule-paira400 according to the MIC, and the five most similar instances to fhnw-schedule-paira400 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 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. 0.316423 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). 0.317678 2
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. 0.333918 3
polygonpack4-10 [MIPLIB] 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. Instance 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. 0.368086 4
polygonpack4-7 [MIPLIB] 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. Instance 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. 0.410260 5
MIPLIB Top 5 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. 0.316423 1
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. 0.333918 3
pg5_34 [MIPLIB] M. Dawande Multiproduct partial shipment model 1.117318 229
pg [MIPLIB] M. Dawande Multiproduct partial shipment model 1.219158 286
nh97_potential [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.295919 341


fhnw-schedule-paira400: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: schedule
Assigned Model Group Rank/ISS in the MIC: 40 / 1.788

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: map Model group: rmatr Model group: polygonpack Model group: sp_product Model group: n37
Name map rmatr polygonpack sp_product n37
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 / 0.596 2 / 0.683 3 / 0.712 4 / 0.940 5 / 0.990

Model Group Summary

The table below contains summary information for the five most similar model groups to fhnw-schedule-paira400 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.596255 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.683174 2
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. 0.712394 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.939970 4
n37 J. Aronson Fixed charge transportation problem 0.989757 5