network_design

Type: Model Group
Submitter: MIPLIB submission pool
Description: Imported from the MIPLIB2010 submissions.

Parent Model Group (network_design)

All other model groups below were be compared against this "query" model group.

Model group: network_design
Model Group Composite (MGC) image Composite of the decomposed CCM images for every instance in the query model group.

Component Instances (Decomposed)

These are the decomposed CCM images for each instance in the query model group.

These are component instance images.
Component instance: dfn-bwin-DBE Component instance: cost266-UUE Component instance: germany50-UUM Component instance: ta1-UUM Component instance: ta2-UUE
Name dfn-bwin-DBE cost266-UUE germany50-UUM ta1-UUM ta2-UUE

MIC Top 5 Model Groups

These are the 5 MGC images that are most similar to the MGC image for the query model group, according to the ISS metric.

FIXME - These are model group composite images.
Model group: maxfeassub Model group: assign1 Model group: 2hopcds Model group: f2gap Model group: iis
Name maxfeassub assign1 2hopcds f2gap iis
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query model group and all other model groups. A smaller ISS value indicates greater similarity.
1 / 1.322 2 / 1.361 3 / 1.393 4 / 1.421 5 / 1.470

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
Parent Model Group network_design MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 maxfeassub Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 1.321705 1
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.360604 2
2hopcds Austin Buchanan A problem in wireless networks. The objective is to select a minimum number of relay nodes so that any two nonadjacent nodes can communicate by way of the chosen relay nodes in at most s hops, where s is a problem input. The 2-hop case of this problem can be formulated as a set cover/hitting set problem with n binary variables and n^2 constraints: _{ k N(i) N(j) } x_k 1 for nonadjacent node pairs {i,j}. Despite the formulation's simplicity, models with as few as 120 variables are left unsolved after one hour using Gurobi 7.0.2. 1.393208 3
f2gap Salim Haddadi Restrictions of well-known hard generalized assignment problem models (D10400,D20400,D40400,D15900,D30900,D60900,D201600,D401600,D801600) 1.421340 4
iis Marc Pfetsch 23 "middlehard" Set-Covering Models for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the models can be created. 1.470154 5