neos-3696678-lyvia

decomposition variable_bound set_covering cardinality invariant_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	7683	9004	4.40199e-04	easy	neos-pseudoapplication-56	83.74999995899876	neos-3696678-lyvia.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	7683	3776
Constraints	9004	1446
Binaries	7516	3609
Integers	167	167
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000440199	0.001548870
Nonzeroes	30452	8457

Constraint Classification Properties
	Original	Presolved
Total	9004	1446
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	8350	821
Set Partitioning	0	0
Set Packing	0	0
Set Covering	11	11
Cardinality	167	167
Invariant Knapsack	167	138
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	142	142
General Linear	167	167
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	2.170262
Constraint %		0.276625	0.613468	0.553250	6.50069
Variable %		0.317797	0.654690	0.529661	6.67373
Score	0.890539

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	83.75	83.75	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3696678-lyvia 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-3581454-haast	easy	8112	7512	0	600	17220	92976	Jeff Linderoth	neos-pseudoapplication-14	2295	decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
physiciansched5-3	easy	14488	11501	0	2987	31925	156378	Pelin Damci-Kurt	physiciansched	21100	decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking mixed_binary
graphdraw-gemcutter	easy	166	112	16	38	474	1420	Cézar Augusto Nascimento e Silva	graphdraw	7118.5	benchmark_suitable variable_bound set_partitioning invariant_knapsack mixed_binary general_linear
pw-myciel4	easy	1059	1058	1	0	8164	17779	Arie Koster	–	9.999999999999996	benchmark_suitable precedence variable_bound set_partitioning general_linear
p0201	easy	201	201	0	0	133	1923	MIPLIB submission pool	pfour	7614.999999999997	binary set_packing set_covering invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available