d20200

binary decomposition set_partitioning invariant_knapsack knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
COR@L test set 4000 1502 3.15228e-02 open 12252* d20200.mps.gz

Instance coming from the COR@L test set with unknown origin

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4000 3181
Constraints 1502 1502
Binaries 4000 3181
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 819 0
Nonzero Density 0.0315228 0.0355211
Nonzeroes 189389 169715
Constraint Classification Properties
Original Presolved
Total 1502 1502
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 200 200
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 123 123
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 1179 1179
Integer Knapsack 0 0
Mixed Binary 0 0
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 1.322219
Constraint % 2.13049 4.33422 4.56059 5.12650
Variable % 4.49544 5.00000 4.98271 5.28136
Score 0.823449

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 12252 12252 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to d20200 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-4954274-beardy hard 12865 12865 0 0 17359 140082 Jeff Linderoth neos-pseudoapplication-62 20946.48 binary decomposition variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking knapsack
circ10-3 open 2700 2700 0 0 42620 307320 M. Winkler 378* binary decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
p2m2p1m1p0n100 easy 100 100 0 0 1 100 B. Krishnamoorthy, G. Pataki Infeasible infeasible binary benchmark_suitable knapsack mixed_binary
neos-876808 easy 87268 87268 0 0 85808 682376 NEOS Server Submission neos-pseudoapplication-62 169795.259907 binary decomposition benchmark_suitable aggregations set_packing set_covering invariant_knapsack knapsack mixed_binary
s1234 open 2945 2945 0 0 8418 44641 Siwei Sun SiweiSun 34* binary precedence set_covering invariant_knapsack binpacking knapsack

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}

Last Update Apr 09, 2019 by Gregor Hendel
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