Submitter Variables Constraints Density Status Group Objective MPS File
Kiyan Ahmadizadeh 164547 328818 1.01637e-05 easy map -289 map06.mps.gz

Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 164547 26843
Constraints 328818 50120
Binaries 146 118
Integers 0 0
Continuous 164401 26725
Implicit Integers 0 0
Fixed Variables 1 0
Nonzero Density 1.01637e-05 7.93223e-05
Nonzeroes 549920 106718
Constraint Classification Properties
Original Presolved
Total 328818 50120
Empty 0 0
Free 0 0
Singleton 118493 0
Aggregations 0 0
Precedence 36827 21106
Variable Bound 164400 23593
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 1 1
Integer Knapsack 0 0
Mixed Binary 9097 5420
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 3.257439
Constraint % 0.0020000 0.0059800 0.0020000 0.494812
Variable % 0.0107956 0.0269732 0.0107956 1.943210
Score 0.107784

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
2 -289 -289 0 0 0 - 2018-10-29 Solution imported from MIPLIB2010.
1 -289 -289 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to map06 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
map16715-04 164547 146 0 164401 328818 549920 Kiyan Ahmadizadeh map easy -111
map10 164547 146 0 164401 328818 549920 Kiyan Ahmadizadeh map easy -495
map18 164547 146 0 164401 328818 549920 Kiyan Ahmadizadeh map easy -847
map14860-20 164547 146 0 164401 328818 549920 Kiyan Ahmadizadeh map easy -922
neos-3209462-rhin 56453 383 0 56070 170226 447473 Jeff Linderoth neos-pseudoapplication-98 open 12*

Reference

@inproceedings{AhmadizadehDilkinaGomesSabharwal2010,
 author = {Ahmadizadeh, Kiyan and Dilkina, Bistra and Gomes, Carla P. and
Sabharwal, Ashish},
 booktitle = {Principles and Practice of Constraint Programming},
 pages = {514--521},
 series = {Lecture Notes in Computer Science},
 title = {An Empirical Study of Optimization for Maximizing Diffusion in
Networks},
 volume = {6308}
}

@inproceedings{SheldonETAL2010,
 author = {Sheldon, Daniel and Dilkina, Bistra and Elmachtoub, Adam and Finseth, Ryan and Sabharwal, Ashish and Conrad, Jon and Gomes, Carla P. and Shmoys, David and Allen, Will
and Amundsen, Ole and
Vaughan, Buck},
 booktitle = {Proceedings of the 26th Conference on
Uncertainty in Artificial Intelligence},
 pages = {517-526},
 title = {Maximizing Spread of Cascades Using Network Design},
 year = {2010}
}

Last Update Nov 19, 2018 by Gregor Hendel
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