neos-555424

decomposition benchmark_suitable precedence invariant_knapsack equation_knapsack binpacking mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	3815	2676	1.53464e-03	easy	neos-pseudoapplication-15	1286800	neos-555424.mps.gz

Instance coming from the NEOS Server with unknown application 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	3815	3765
Constraints	2676	2626
Binaries	3800	3750
Integers	15	15
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00153464	0.00157451
Nonzeroes	15667	15567

Constraint Classification Properties
	Original	Presolved
Total	2676	2626
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	840	790
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	910	0
Cardinality	0	0
Invariant Knapsack	0	910
Equation Knapsack	55	55
Bin Packing	0	650
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	757	107
General Linear	114	114
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	2.149219
Constraint %		0.0381679	0.654308	0.381679	1.48855
Variable %		0.0531208	0.701954	0.438247	1.54050
Score	0.903389

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	1286800	1286800	0	0	0	-	2018-10-29	Solution imported from MIPLIB2010.
1	1286800	1286800	0	0	0	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-555424 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-555343	easy	3815	3800	15	0	3326	16967	NEOS Server Submission	neos-pseudoapplication-15	1512800	decomposition benchmark_suitable aggregations precedence invariant_knapsack equation_knapsack binpacking mixed_binary general_linear
decomp1	easy	10735	10735	0	0	8357	47889	Martin Berger	–	-120	binary decomposition precedence set_partitioning set_packing invariant_knapsack binpacking mixed_binary
decomp2	easy	14387	14387	0	0	10765	64073	Martin Berger	–	-160	benchmark binary decomposition benchmark_suitable precedence set_partitioning set_packing invariant_knapsack binpacking mixed_binary
ns1856153	open	11998	11956	0	42	35407	105882	NEOS Server Submission	neos-pseudoapplication-6	34.16346179965939*	precedence variable_bound set_covering invariant_knapsack binpacking mixed_binary
neos-738098	easy	9093	8946	0	147	25849	101360	NEOS Server Submission	neos-pseudoapplication-15	-1099	benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack binpacking mixed_binary general_linear

Reference

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