neos-831188

binary benchmark_suitable aggregations precedence set_partitioning cardinality invariant_knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	4612	2185	1.11697e-03	easy	neos-pseudoapplication-94	2.613774619999999	neos-831188.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	4612	4612
Constraints	2185	2185
Binaries	4612	4612
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00111697	0.00111697
Nonzeroes	11256	11256

Constraint Classification Properties
	Original	Presolved
Total	2185	2185
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	20	20
Precedence	1058	1058
Variable Bound	0	0
Set Partitioning	1038	1038
Set Packing	0	0
Set Covering	0	0
Cardinality	68	68
Invariant Knapsack	1	1
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	1.845098
Constraint %		0.0457666	0.747521	0.732265	1.00686
Variable %		0.5637470	1.449280	1.344320	2.58023
Score	0.508012

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	2.613775	2.613775	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-831188 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-829552	easy	40971	40971	0	0	5153	86952	NEOS Server Submission	neos-pseudoapplication-95	2.31958979	binary numerics precedence set_partitioning cardinality invariant_knapsack
neos-555001	easy	3855	3782	73	0	3474	16649	NEOS Server Submission	neos-pseudoapplication-94	1210625	decomposition numerics aggregations precedence set_partitioning invariant_knapsack mixed_binary general_linear
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
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-827015	easy	79347	79347	0	0	7688	166239	NEOS Server Submission	neos-pseudoapplication-95	2.31958979	binary numerics precedence set_partitioning cardinality invariant_knapsack

Reference

No bibliographic information available