lectsched-4-obj: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Harald Schilly
Description: University lecture scheduling instance
MIPLIB Entry

Parent Instance (lectsched-4-obj)

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

lectsched-4-obj Raw lectsched-4-obj Decomposed lectsched-4-obj Composite of MIC top 5 lectsched-4-obj Composite of MIPLIB top 5 lectsched-4-obj 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.
liu decomposed glass4 decomposed s1234 decomposed vpphard2 decomposed probportfolio decomposed
Name liu [MIPLIB] glass4 [MIPLIB] s1234 [MIPLIB] vpphard2 [MIPLIB] probportfolio [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 / 1.076 2 / 1.087 3 / 1.088 4 / 1.140 5 / 1.175
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
liu raw glass4 raw s1234 raw vpphard2 raw probportfolio 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.
lectsched-5-obj decomposed lectsched-2 decomposed lectsched-3 decomposed lectsched-1 decomposed neos-4338804-snowy decomposed
Name lectsched-5-obj [MIPLIB] lectsched-2 [MIPLIB] lectsched-3 [MIPLIB] lectsched-1 [MIPLIB] neos-4338804-snowy [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.
16 / 1.244 21 / 1.258 23 / 1.262 26 / 1.272 630 / 1.779
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
lectsched-5-obj raw lectsched-2 raw lectsched-3 raw lectsched-1 raw neos-4338804-snowy raw

Instance Summary

The table below contains summary information for lectsched-4-obj, the five most similar instances to lectsched-4-obj according to the MIC, and the five most similar instances to lectsched-4-obj according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance lectsched-4-obj [MIPLIB] Harald Schilly University lecture scheduling instance 0.000000 -
MIC Top 5 liu [MIPLIB] X. Liu Floorplan and placement problem in the physical design of VLSI circuits 1.076170 1
glass4 [MIPLIB] I. Luzzi Nesting instance 1.087046 2
s1234 [MIPLIB] Siwei Sun These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions. 1.087872 3
vpphard2 [MIPLIB] C. Cardonha Vehicle positioning problem instance. Solved using CPLEX 12.4 in 43987 seconds (May 2012). Solved using Gurobi 5.6.2 in 124 seconds (May 2014).Solved using CPLEX 12.6 in 225 seconds (May 2014). 1.140005 4
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. 1.175294 5
MIPLIB Top 5 lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 1.244486 16
lectsched-2 [MIPLIB] Harald Schilly University lecture scheduling instance 1.258023 21
lectsched-3 [MIPLIB] Harald Schilly University lecture scheduling instance 1.262121 23
lectsched-1 [MIPLIB] Harald Schilly University lecture scheduling instance 1.271858 26
neos-4338804-snowy [MIPLIB] Jeff Linderoth (None provided) 1.778714 630


lectsched-4-obj: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: lectsched
Assigned Model Group Rank/ISS in the MIC: 1 / 1.092

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: lectsched Model group: neos-pseudoapplication-109 Model group: SiweiSun Model group: neos-pseudoapplication-2 Model group: sp_product
Name lectsched neos-pseudoapplication-109 SiweiSun neos-pseudoapplication-2 sp_product
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 / 1.093 2 / 1.340 3 / 1.350 4 / 1.401 5 / 1.419

Model Group Summary

The table below contains summary information for the five most similar model groups to lectsched-4-obj according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 lectsched Harald Schilly University lecture scheduling model 1.092881 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.340176 2
SiweiSun Siwei Sun These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions. 1.350301 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.401053 4
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.418510 5