gt2

set_packing integer_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 188 29 6.89655e-02 easy 21166 gt2.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 188 173
Constraints 29 28
Binaries 24 22
Integers 164 151
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0689655 0.0714286
Nonzeroes 376 346
Constraint Classification Properties
Original Presolved
Total 29 28
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 2 2
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 15 15
Mixed Binary 0 0
General Linear 12 11
Indicator 0 0

Structure

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

value min median mean max
Components 1.255273
Constraint % 3.57143 3.57143 3.57143 3.57143
Variable % 1.73410 5.88235 6.35838 6.35838
Score 0.571429

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
1 21166 21166 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gt2 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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
neos-5045105-creuse open 3848 0 3780 68 252 23108 Jeff Linderoth neos-pseudoapplication-78 20.5714290993* integer_knapsack general_linear
neos-574665 open 740 184 64 492 3790 16792 NEOS Server Submission neos-pseudoapplication-78 5761665.2169* decomposition aggregations variable_bound set_covering invariant_knapsack integer_knapsack mixed_binary general_linear
markshare_4_0 easy 34 30 0 4 4 123 G. Cornuéjols, M. Dawande markshare 1 benchmark benchmark_suitable integer_knapsack general_linear
markshare_5_0 easy 45 40 0 5 5 203 G. Cornuéjols, M. Dawande markshare 1 benchmark_suitable integer_knapsack general_linear
markshare1 easy 62 50 0 12 6 312 G. Cornuéjols, M. Dawande markshare 0.9999999999991 benchmark_suitable integer_knapsack general_linear

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
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