iis

Type: Model Group
Submitter: Marc Pfetsch
Description: 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.

Parent Model Group (iis)

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

Model group: iis
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: iis-hc-cov Component instance: iis-glass-cov
Name iis-hc-cov iis-glass-cov

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: neos-pseudoapplication-106 Model group: 2hopcds Model group: assign1 Model group: air Model group: neos-pseudoapplication-23
Name neos-pseudoapplication-106 2hopcds assign1 air neos-pseudoapplication-23
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 / 0.854 2 / 0.982 3 / 1.144 4 / 1.210 5 / 1.241

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
Parent Model Group 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. 0.000000 -
MIC Top 5 neos-pseudoapplication-106 Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.854061 1
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. 0.982170 2
assign1 Robert Fourer Imported from the MIPLIB2010 submissions. 1.144091 3
air G. Astfalk Airline crew scheduling set partitioning problem 1.209813 4
neos-pseudoapplication-23 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.240593 5