neos-3209462-rhin

aggregations precedence variable_bound set_partitioning set_covering cardinality invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jeff Linderoth 56453 170226 4.65644e-05 hard neos-pseudoapplication-98 12 neos-3209462-rhin.mps.gz

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 56453 56453
Constraints 170226 170226
Binaries 383 383
Integers 0 12
Continuous 56070 56058
Implicit Integers 0 12
Fixed Variables 0 0
Nonzero Density 4.65644e-05 4.65644e-05
Nonzeroes 447473 447473
Constraint Classification Properties
Original Presolved
Total 170226 170226
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 13 13
Precedence 55740 55740
Variable Bound 58581 58581
Set Partitioning 21 33
Set Packing 0 0
Set Covering 1 1
Cardinality 10 10
Invariant Knapsack 0 12
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 55860 55836
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 0.4771212
Constraint % 0.0005870 0.0202672 0.0202672 0.0399469
Variable % 0.0177139 0.1966240 0.1966240 0.3755340
Score 0.0004040

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
3 12 12 0 0 0 Hans Mittelmann 2020-05-27 Solved with Gurobi using 48 Threads within 351 hours
2 12 12 0 0 0 - 2018-10-16 Solution found during MIPLIB2017 problem selection.
1 12 12 0 0 0 - 2018-10-16 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3209462-rhin 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
supportcase37 easy 20047 1484 0 18563 59023 135627 Domenico Salvagnin -1048.96 benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
neos-4300652-rahue easy 33003 20900 0 12103 76992 183616 Jeff Linderoth neos-pseudoapplication-13 2.1416 benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
neos-3208254-reiu open 3154336 3743 0 3150593 9464908 25080218 Jeff Linderoth neos-pseudoapplication-98 -34897.00052514407* aggregations precedence variable_bound set_partitioning set_covering cardinality mixed_binary general_linear
neos-3755335-nizao easy 40938 5226 0 35712 111026 547794 Jeff Linderoth neos-pseudoapplication-61 50.0301565326 benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
istanbul-no-cutoff easy 5282 30 0 5252 20346 71477 Utz-Uwe Haus 204.08170701 benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary

Reference

No bibliographic information available

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