savsched1: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gerardo Gonzalez
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (savsched1)

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

savsched1 Raw savsched1 Decomposed savsched1 Composite of MIC top 5 savsched1 Composite of MIPLIB top 5 savsched1 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.
neos4 decomposed pk1 decomposed bppc8-02 decomposed f2gap40400 decomposed mad decomposed
Name neos4 [MIPLIB] pk1 [MIPLIB] bppc8-02 [MIPLIB] f2gap40400 [MIPLIB] mad [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 / 1.114 2 / 1.167 3 / 1.172 4 / 1.174 5 / 1.175
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos4 raw pk1 raw bppc8-02 raw f2gap40400 raw mad 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.
neos-5041756-cobark decomposed neos9 decomposed tbfp-bigm decomposed neos-4409277-trave decomposed rwth-timetable decomposed
Name neos-5041756-cobark [MIPLIB] neos9 [MIPLIB] tbfp-bigm [MIPLIB] neos-4409277-trave [MIPLIB] rwth-timetable [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.
174 / 1.422 190 / 1.428 549 / 1.586 760 / 1.801 879 / 2.129
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-5041756-cobark raw neos9 raw tbfp-bigm raw neos-4409277-trave raw rwth-timetable raw

Instance Summary

The table below contains summary information for savsched1, the five most similar instances to savsched1 according to the MIC, and the five most similar instances to savsched1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance savsched1 [MIPLIB] Gerardo Gonzalez Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 neos4 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.113662 1
pk1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.167015 2
bppc8-02 [MIPLIB] Manuel Iori The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P||Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the instances of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998). 1.172370 3
f2gap40400 [MIPLIB] Salim Haddadi Restrictions of well-known hard generalized assignment problem instances (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.173982 4
mad [MIPLIB] Koichi Fujii Mean-Absolute Deviation Model for Car Dealerships 1.175398 5
MIPLIB Top 5 neos-5041756-cobark [MIPLIB] Jeff Linderoth (None provided) 1.422427 174
neos9 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.428398 190
tbfp-bigm [MIPLIB] Rob Pratt Two formulations (big-M and network-based) for traveling baseball fan problem. Uses data from 2014 Major League Baseball regular season. Paper uses 2014 data: http://support.sas.com/resources/papers/proceedings14/SAS101-2014.pdf Blog post uses 2015 data: http://blogs.sas.com/content/operations/2015/04/03/the-traveling-baseball-fan-problem/ 1.585780 549
neos-4409277-trave [MIPLIB] Jeff Linderoth Reported solved by ParaSCIP in 441575 seconds using 71 solvers (72 cores). 1.800515 760
rwth-timetable [MIPLIB] Gerald Lach University Course Timetabling from the RWTH Aachen 2.129333 879


savsched1: 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: neos-pseudoapplication-65 Model group: scp Model group: neos-pseudoapplication-21 Model group: stein Model group: enlight
Name neos-pseudoapplication-65 scp neos-pseudoapplication-21 stein enlight
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 / 1.560 2 / 1.598 3 / 1.764 4 / 1.777 5 / 1.805

Model Group Summary

The table below contains summary information for the five most similar model groups to savsched1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-65 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.559631 1
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 1.597892 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.763505 3
stein MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.777331 4
enlight A. Zymolka Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions. 1.804732 5