neos-3656078-kumeu

benchmark benchmark_suitable aggregations precedence variable_bound set_packing cardinality invariant_knapsack knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	14870	17656	2.25836e-04	hard	neos-pseudoapplication-44	-13172.2	neos-3656078-kumeu.mps.gz

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	14870	14105
Constraints	17656	16463
Binaries	9755	9201
Integers	4455	4594
Continuous	660	310
Implicit Integers	0	332
Fixed Variables	0	0
Nonzero Density	0.000225836	0.000237840
Nonzeroes	59292	55229

Constraint Classification Properties
	Original	Presolved
Total	17656	16463
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	735	745
Precedence	378	33
Variable Bound	9010	8822
Set Partitioning	0	0
Set Packing	360	360
Set Covering	544	0
Cardinality	132	132
Invariant Knapsack	13	436
Equation Knapsack	0	0
Bin Packing	24	0
Knapsack	0	436
Integer Knapsack	0	0
Mixed Binary	1152	13
General Linear	5308	5486
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	3.538197
Constraint %		0.0060700	0.0192925	0.0121485	2.22924
Variable %		0.0140331	0.0277817	0.0140331	4.11170
Score	0.662797

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	-13172.2	-13172.2	0	0	0	-	2018-10-16	Solution found during MIPLIB2017 problem selection.
1	-13172.2	-13172.2	0	0	0	-	2018-10-16	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3656078-kumeu 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-4335793-snake	hard	30827	20473	7865	2489	37166	129119	Jeff Linderoth	neos-pseudoapplication-44	27	numerics aggregations precedence variable_bound set_packing cardinality invariant_knapsack knapsack mixed_binary general_linear
supportcase17	easy	1381	732	235	414	2108	5253	Michael Winkler	–	1329.999999999999	benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary general_linear
fastxgemm-n2r7s4t1	easy	904	56	0	848	6972	22584	Laurent Sorber	fastxgemm	41.99999999999998	decomposition benchmark_suitable variable_bound set_partitioning set_covering mixed_binary general_linear
fastxgemm-n2r6s0t2	easy	784	48	0	736	5998	19376	Laurent Sorber	fastxgemm	230	benchmark decomposition benchmark_suitable variable_bound set_partitioning set_covering mixed_binary general_linear
neos-3672928-linge	easy	62251	40081	19636	2534	76477	251299	Jeff Linderoth	neos-pseudoapplication-97	Unbounded	aggregations precedence variable_bound set_packing set_covering cardinality binpacking mixed_binary general_linear

Reference

No bibliographic information available