neos-633273

binary aggregations set_partitioning cardinality invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	11154	21781	2.63063e-04	easy	neos-pseudoapplication-10	6996841097.99778	neos-633273.mps.gz

Collection of anonymous submissions to the NEOS Server for Optimization

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	11154	11154
Constraints	21781	21781
Binaries	11154	11154
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000263063	0.000263063
Nonzeroes	63910	63910

Constraint Classification Properties
	Original	Presolved
Total	21781	21781
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	10648	10648
Precedence	0	0
Variable Bound	0	0
Set Partitioning	484	484
Set Packing	0	0
Set Covering	0	0
Cardinality	1	1
Invariant Knapsack	10648	10648
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
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.

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	2.686636
Constraint %		0.008980	0.0179461	0.0179646	0.0179646
Variable %		0.197239	0.2061860	0.2062040	0.2062040
Score	0.086859

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	6996841098	6996841098	0	0	2e-05	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-633273 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-3682128-sandon	open	7880	7870	10	0	14920	50438	Hans Mittelmann	neos-pseudoapplication-10	34666770*	aggregations variable_bound set_packing cardinality invariant_knapsack equation_knapsack knapsack integer_knapsack general_linear
binkar10_1	easy	2298	170	0	2128	1026	4496	H. Mittelmann	–	6742.1998835	benchmark benchmark_suitable aggregations mixed_binary
shiftreg2-7	hard	11404	4152	0	7252	8540	34900	Domenico Salvagnin	shiftreg	230.326187744737	decomposition numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary
shiftreg1-4	easy	10008	3912	0	6096	8136	29976	Domenico Salvagnin	shiftreg	132.66969396	decomposition numerics aggregations set_partitioning cardinality equation_knapsack binpacking knapsack mixed_binary
neos-780889	easy	182700	182700	0	0	73910	497210	NEOS Server Submission	neos-pseudoapplication-94	3421500	binary benchmark_suitable aggregations set_partitioning cardinality mixed_binary

Reference

No bibliographic information available