binkar10_1

benchmark benchmark_suitable aggregations mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
H. Mittelmann	2298	1026	1.9069e-03	easy	–	6742.1998835	binkar10_1.mps.gz

Relaxed version of problem binkar10 Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	2298	2298
Constraints	1026	1026
Binaries	170	170
Integers	0	0
Continuous	2128	2128
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0019069	0.0019069
Nonzeroes	4496	4496

Constraint Classification Properties
	Original	Presolved
Total	1026	1026
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	200	200
Precedence	0	0
Variable Bound	0	0
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	0	0
Integer Knapsack	0	0
Mixed Binary	826	826
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	2.267172
Constraint %		0.0974659	0.1059410	0.0974659	0.292398
Variable %		0.0870322	0.0908162	0.0870322	0.174064
Score	0.194746

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	6742.2	6742.2	0.0e+00	0	0	-	2018-10-13	Solution imported from MIPLIB2010.
1	6742.2	6742.2	7.4e-06	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to binkar10_1 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
supportcase25	easy	6769	576	6193	6673	22825	Michael Winkler	–	0.04829280869043	decomposition numerics aggregations variable_bound mixed_binary
neos-1396125	easy	1161	129	1032	1494	5511	NEOS Server Submission	neos-pseudoapplication-96	3000.0453373	benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
shiftreg2-7	hard	11404	4152	7252	8540	34900	Domenico Salvagnin	shiftreg	230.326187744737	decomposition numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary
shiftreg5-1	hard	48736	10608	38128	31424	157504	Domenico Salvagnin	shiftreg	520.2562364680399	numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary
neos-1423785	open	21506	1920	19586	25721	64082	NEOS Server Submission	neos-pseudoapplication-98	21893.26*	aggregations precedence variable_bound mixed_binary

Reference

No bibliographic information available