ns1644855

benchmark benchmark_suitable variable_bound set_partitioning mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	30200	40698	1.7173e-03	easy	neos-pseudoapplication-76	-1524.33333333333	ns1644855.mps.gz

Instance coming from the NEOS Server with unknown application. Solved with Gurobi 4.5.1 on a 12-core Linux system in 1431.15 sec. 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	30200	30199
Constraints	40698	30598
Binaries	10000	10000
Integers	0	100
Continuous	20200	20099
Implicit Integers	0	100
Fixed Variables	0	0
Nonzero Density	0.0017173	0.0022733
Nonzeroes	2110700	2100600

Constraint Classification Properties
	Original	Presolved
Total	50698	30598
Empty	0	0
Free	0	0
Singleton	20100	0
Aggregations	0	0
Precedence	99	0
Variable Bound	10199	10298
Set Partitioning	200	200
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	20100	19900
General Linear	0	200
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	4.004321
Constraint %		0.00328	0.00334	0.00328	0.00656
Variable %		0.00662	0.00666	0.00662	0.00993
Score	0.337639

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	-1524.333	-1524.333	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.
1	-1524.333	-1524.333	0	0	0	-	2018-10-13	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to ns1644855 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
supportcase7	easy	138844	451	14	138379	6532	2845545	Michael Winkler	–	-1132.223177	benchmark benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary
neos-480878	easy	534	189	0	345	1321	44370	NEOS Server Submission	neos-pseudoapplication-76	492.5144492879	benchmark_suitable variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dell	easy	626	105	0	521	500	4580	MIPLIB submission pool	–	Infeasible	infeasible aggregations precedence variable_bound mixed_binary
neos-3048764-nadi	easy	12360	9390	0	2970	3186	21867	Jeff Linderoth	neos-pseudoapplication-43	-3883988306.4	decomposition numerics precedence variable_bound set_packing mixed_binary
supportcase23	open	24275	6250	0	18025	40502	161525	Michael Winkler	–	-12160.6593559088*	decomposition precedence mixed_binary

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}