Instance - netdiversion


	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.

Decomposed These decomposed images were created by GCG.
Name	ponderthis0517-inf [MIPLIB]	mad [MIPLIB]	bppc8-02 [MIPLIB]	gen-ip054 [MIPLIB]	gen-ip016 [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 / 1.118	2 / 1.180	3 / 1.208	4 / 1.239	5 / 1.242
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.

Decomposed These decomposed images were created by GCG.
Name	academictimetablesmall [MIPLIB]	nursesched-medium-hint03 [MIPLIB]	neos-933638 [MIPLIB]	academictimetablebig [MIPLIB]	chromaticindex1024-7 [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.	368 / 1.754	429 / 1.777	652 / 1.865	673 / 1.875	950 / 2.435
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.

Instance Summary

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

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	netdiversion [MIPLIB]	Chris Cullenbine	Directed network diversion problem	0.000000	-
MIC Top 5	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	1.118313	1
	mad [MIPLIB]	Koichi Fujii	Mean-Absolute Deviation Model for Car Dealerships	1.180445	2
	bppc8-02 [MIPLIB]	Manuel Iori	The models that we attach solve the "bar-relaxation", also known as the "Bin Packing Problem with Contiguity" or the "P\|\|Cmax with contiguity". This is one of the most interesting relaxations for two dimensional cutting and packing problems. Its solution by means of an ILP software is the bottleneck of the primal decomposition methods that we attempted in the paper cited below. In detail, the files correspond to model (12)-(15) in the paper, applied to the instances of the Classes 4, 6 and 8 by Martello and Vigo (Management Science, 1998).	1.207930	3
	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.	1.239084	4
	gen-ip016 [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. Solved with XPRESS in a few seconds.	1.241604	5
MIPLIB Top 5	academictimetablesmall [MIPLIB]	Joshua Friedman	Academic timetabling integer program	1.754160	368
	nursesched-medium-hint03 [MIPLIB]	Haroldo Gambini Santos	Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010	1.777431	429
	neos-933638 [MIPLIB]	NEOS Server Submission	Instance coming from the NEOS Server with unknown application	1.864723	652
	academictimetablebig [MIPLIB]	Joshua Friedman	Academic timetabling integer program Reported solved after 1 1/2 days using Gurobi.	1.875239	673
	chromaticindex1024-7 [MIPLIB]	Pierre Le Bodic	Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees.	2.435286	950

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	stein	scp	neos-pseudoapplication-21	markshare	enlight
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 / 1.583	2 / 1.620	3 / 1.654	4 / 1.703	5 / 1.778

Model Group Summary

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

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	stein	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.582749	1
	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	1.620464	2
	neos-pseudoapplication-21	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.653968	3
	markshare	G. Cornuéjols, M. Dawande	Market sharing problem	1.703218	4
	enlight	A. Zymolka	Model to solve model of a combinatorial game ``EnLight'' Imported from the MIPLIB2010 submissions.	1.778305	5

Type:	Instance
Submitter:	Chris Cullenbine
Description:	Directed network diversion problem
	MIPLIB Entry

Model Group Assignment from MIPLIB:	no model group assignment
Assigned Model Group Rank/ISS in the MIC:	N.A. / N.A.

netdiversion: Instance-to-Instance Comparison Results

Parent Instance (netdiversion)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

netdiversion: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary