wnq-n100-mw99-14: Instance-to-Instance Comparison Results

Type: Instance
Submitter: M. Winkler
Description: Weighted n-queens problem with an additional separation constraint. Solved by Gurobi 4.6.1 (12 threads) in 28124 seconds (January 2012).
MIPLIB Entry

Parent Instance (wnq-n100-mw99-14)

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

wnq-n100-mw99-14 Raw wnq-n100-mw99-14 Decomposed wnq-n100-mw99-14 Composite of MIC top 5 wnq-n100-mw99-14 Composite of MIPLIB top 5 wnq-n100-mw99-14 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.
graphdraw-mainerd decomposed graphdraw-grafo2 decomposed graphdraw-opmanager decomposed neos-820879 decomposed lr1dr02vc05v8a-t360 decomposed
Name graphdraw-mainerd [MIPLIB] graphdraw-grafo2 [MIPLIB] graphdraw-opmanager [MIPLIB] neos-820879 [MIPLIB] lr1dr02vc05v8a-t360 [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 / 1.197 3 / 1.200 4 / 1.402 5 / 1.594
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
graphdraw-mainerd raw graphdraw-grafo2 raw graphdraw-opmanager raw neos-820879 raw lr1dr02vc05v8a-t360 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.
10teams decomposed uct-subprob decomposed app2-2 decomposed hanoi5 decomposed app2-1 decomposed
Name 10teams [MIPLIB] uct-subprob [MIPLIB] app2-2 [MIPLIB] hanoi5 [MIPLIB] app2-1 [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 / 2.125 936 / 2.660 945 / 2.682 950 / 2.685 954 / 2.689
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
10teams raw uct-subprob raw app2-2 raw hanoi5 raw app2-1 raw

Instance Summary

The table below contains summary information for wnq-n100-mw99-14, the five most similar instances to wnq-n100-mw99-14 according to the MIC, and the five most similar instances to wnq-n100-mw99-14 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance wnq-n100-mw99-14 [MIPLIB] M. Winkler Weighted n-queens problem with an additional separation constraint. Solved by Gurobi 4.6.1 (12 threads) in 28124 seconds (January 2012). 0.000000 -
MIC Top 5 graphdraw-mainerd [MIPLIB] Cézar Augusto Nascimento e Silva In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem. 1.182382 1
graphdraw-grafo2 [MIPLIB] Cézar Augusto Nascimento e Silva In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem. 1.196964 2
graphdraw-opmanager [MIPLIB] Cézar Augusto Nascimento e Silva In the Graph Drawing problem a set of symbols must be placed in a plane and their connections routed. The objective is to produce aesthetically pleasant, easy to read diagrams. As a primary concern one usually tries to minimize edges crossing, edges' length, waste of space and number of bents in the connections. When formulated with these constraints the problem becomes NP-Hard . In practice many additional complicating requirements can be included, such as non-uniform sizes for symbols. Thus, some heuristics such as the generalized force-direct method and Simulated Annealing have been proposed to tackle this problem. uses a grid structure to approach the Entity-Relationship (ER) drawing problem, emphasizing the differences between ER drawing and the more classical circuit drawing problems. presented different ways of producing graph layouts (e.g.: tree, orthogonal, visibility representations, hierarchic, among others) for general graphs with applications on different subjects. The ability to automatically produce high quality layouts is very important in many applications, one of these is Software Engineering: the availability of easy to understand ER diagrams, for instance, can improve the time needed for developers to master database models and increase their productivity. Our solution approach involves two phases: (\\(i\\)) firstly the optimal placement of entities is solved, i.e.: entities are positioned so as to minimize the distances between connected entities; and (\\(ii\\)) secondly, edges are routed minimizing bends and avoiding the inclusion of connectors too close. We present the model for the first phase of our problem. 1.199987 3
neos-820879 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.401886 4
lr1dr02vc05v8a-t360 [MIPLIB] Dimitri Papageorgiou Maritime Inventory Routing Problem Library - Group 2 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour. 1.593738 5
MIPLIB Top 5 10teams [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.124732 117
uct-subprob [MIPLIB] Gerald Lach Subproblem of a university course timetabling problem. Switched to "easy" because it was solved by Gurobi 5.0 in 2106 seconds (May 2012). 2.660115 936
app2-2 [MIPLIB] Emilie Danna The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don't solve fast enough for the time limit I have in mind so I'd like to propose them for inclusion in MIPLIB. 2.682427 945
hanoi5 [MIPLIB] M. Winkler Reformulated SAT instance from the 2010 SAT conference pseudo-Boolean competition. Solved due to the 2012 pseudo-Boolean competition. 2.685449 950
app2-1 [MIPLIB] Emilie Danna The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don't solve fast enough for the time limit I have in mind so I'd like to propose them for inclusion in MIPLIB. 2.689430 954


wnq-n100-mw99-14: 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-102 Model group: neos-pseudoapplication-96 Model group: neos-pseudoapplication-101 Model group: f2gap Model group: Spinoza
Name neos-pseudoapplication-102 neos-pseudoapplication-96 neos-pseudoapplication-101 f2gap Spinoza
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 / 1.905 2 / 2.041 3 / 2.121 4 / 2.138 5 / 2.178

Model Group Summary

The table below contains summary information for the five most similar model groups to wnq-n100-mw99-14 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-102 Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.904554 1
neos-pseudoapplication-96 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.040658 2
neos-pseudoapplication-101 NEOS Server Submission Model coming from the NEOS Server with unknown application. Infeasibility claimed by CPLEX 12.6 and CPLEX 12.6.1 with extreme numerical caution emphasi after 4 and 2 hours computation, respectively. 2.120856 3
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 2.137936 4
Spinoza Daniel Espinoza Wine Scheduling problem with 82 jobs and four processing machines 2.178421 5