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

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Submitter	Date	Description
3	12	12	Hans Mittelmann	2020-05-27	Solved with Gurobi using 48 Threads within 351 hours
2	12	12	-	2018-10-16	Solution found during MIPLIB2017 problem selection.
1	12	12	-	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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
supportcase37	easy	20047	1484	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	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	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	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	5252	20346	71477	Utz-Uwe Haus	–	204.08170701	benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary

Reference

No bibliographic information available