buildingenergy: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Kristopher A. Pruitt
Description: Model to determine the minimum cost design and dispatch of a distributed generation system for a commercial building. First solved by Matteo Fischetti and Michele Monaci using a search procedure built on top of Cplex 12.2 (February 2012). Solved by Gurobi 4.6.1 (12 threads) in 1053 seconds (February 2012).
MIPLIB Entry

Parent Instance (buildingenergy)

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

buildingenergy Raw buildingenergy Decomposed buildingenergy Composite of MIC top 5 buildingenergy Composite of MIPLIB top 5 buildingenergy 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.
scpm1 decomposed gt2 decomposed b-ball decomposed supportcase16 decomposed gen-ip054 decomposed
Name scpm1 [MIPLIB] gt2 [MIPLIB] b-ball [MIPLIB] supportcase16 [MIPLIB] gen-ip054 [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 / 1.182 2 / 1.214 3 / 1.229 4 / 1.231 5 / 1.241
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
scpm1 raw gt2 raw b-ball raw supportcase16 raw gen-ip054 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.
supportcase35 decomposed neos-3660371-kurow decomposed neos-1420790 decomposed uccase10 decomposed neos-1420546 decomposed
Name supportcase35 [MIPLIB] neos-3660371-kurow [MIPLIB] neos-1420790 [MIPLIB] uccase10 [MIPLIB] neos-1420546 [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.
49 / 1.375 524 / 1.710 643 / 1.810 662 / 1.833 820 / 2.098
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
supportcase35 raw neos-3660371-kurow raw neos-1420790 raw uccase10 raw neos-1420546 raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance buildingenergy [MIPLIB] Kristopher A. Pruitt Model to determine the minimum cost design and dispatch of a distributed generation system for a commercial building. First solved by Matteo Fischetti and Michele Monaci using a search procedure built on top of Cplex 12.2 (February 2012). Solved by Gurobi 4.6.1 (12 threads) in 1053 seconds (February 2012). 0.000000 -
MIC Top 5 scpm1 [MIPLIB] Shunji Umetani This is a random test instance 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 instances. We have also generated reduced instances 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 instance generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.181516 1
gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.213807 2
b-ball [MIPLIB] Christopher Cullenbine It is a very simple problem, yet CPLEX will not close the MIPGAP. CPLEX seems to get stuck in a loop or something. 1.228983 3
supportcase16 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.231411 4
gen-ip054 [MIPLIB] Simon Bowly Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms. 1.240857 5
MIPLIB Top 5 supportcase35 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.375046 49
neos-3660371-kurow [MIPLIB] Jeff Linderoth (None provided) 1.710120 524
neos-1420790 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.809815 643
uccase10 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.833338 662
neos-1420546 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.097597 820


buildingenergy: 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: neos-pseudoapplication-107 Model group: neos-pseudoapplication-74 Model group: neos-pseudoapplication-109 Model group: neos-pseudoapplication-21
Name scp neos-pseudoapplication-107 neos-pseudoapplication-74 neos-pseudoapplication-109 neos-pseudoapplication-21
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 / 1.671 2 / 1.804 3 / 1.917 4 / 1.920 5 / 1.931

Model Group Summary

The table below contains summary information for the five most similar model groups to buildingenergy 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 1.670523 1
neos-pseudoapplication-107 Jeff Linderoth (None provided) 1.803986 2
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.917468 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.919905 4
neos-pseudoapplication-21 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.930615 5


Updated August 16, 2019