dg012142: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Miller
Description: Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours.
MIPLIB Entry

Parent Instance (dg012142)

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

dg012142 Raw dg012142 Decomposed dg012142 Composite of MIC top 5 dg012142 Composite of MIPLIB top 5 dg012142 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.
ger50-17-ptp-pop-6t decomposed mad decomposed ponderthis0517-inf decomposed neos-2978205-isar decomposed misc05inf decomposed
Name ger50-17-ptp-pop-6t [MIPLIB] mad [MIPLIB] ponderthis0517-inf [MIPLIB] neos-2978205-isar [MIPLIB] misc05inf [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 / 1.345 2 / 1.355 3 / 1.382 4 / 1.390 5 / 1.407
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ger50-17-ptp-pop-6t raw mad raw ponderthis0517-inf raw neos-2978205-isar raw misc05inf 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-3754480-nidda decomposed a1c1s1 decomposed a2c1s1 decomposed bg512142 decomposed tr12-30 decomposed
Name neos-3754480-nidda [MIPLIB] a1c1s1 [MIPLIB] a2c1s1 [MIPLIB] bg512142 [MIPLIB] tr12-30 [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.
117 / 1.644 193 / 1.698 197 / 1.699 253 / 1.733 438 / 1.825
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3754480-nidda raw a1c1s1 raw a2c1s1 raw bg512142 raw tr12-30 raw

Instance Summary

The table below contains summary information for dg012142, the five most similar instances to dg012142 according to the MIC, and the five most similar instances to dg012142 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance dg012142 [MIPLIB] A. Miller Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 0.000000 -
MIC Top 5 ger50-17-ptp-pop-6t [MIPLIB] C. Raack Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 1.345238 1
mad [MIPLIB] Koichi Fujii Mean-Absolute Deviation Model for Car Dealerships 1.354664 2
ponderthis0517-inf [MIPLIB] Rob Pratt Infeasible version of IBM Ponder This problem (with 52 characters and no spaces) from May 2017: https://www.research.ibm.com/haifa/ponderthis/challenges/May2017.html 1.381740 3
neos-2978205-isar [MIPLIB] Jeff Linderoth (None provided) 1.390303 4
misc05inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.407369 5
MIPLIB Top 5 neos-3754480-nidda [MIPLIB] Jeff Linderoth (None provided) 1.644433 117
a1c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B. 1.697589 193
a2c1s1 [MIPLIB] M. Vyve, Y. Pochet Lot sizing instance. 1.698965 197
bg512142 [MIPLIB] A. Miller Multilevel lot-sizing instance. 1.733376 253
tr12-30 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.825141 438


dg012142: 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: scp Model group: timtab Model group: neos-pseudoapplication-21 Model group: neos-pseudoapplication-40 Model group: neos-pseudoapplication-109
Name scp timtab neos-pseudoapplication-21 neos-pseudoapplication-40 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 / 1.850 2 / 1.919 3 / 1.933 4 / 1.999 5 / 2.034

Model Group Summary

The table below contains summary information for the five most similar model groups to dg012142 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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 1.850309 1
timtab C. Liebchen, R. Möhring Public transport scheduling problem 1.919156 2
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.933383 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.998727 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 2.033835 5