neos-4738912-atrato

benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing knapsack integer_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	6216	1947	1.61297e-03	easy	neos-pseudoapplication-37	283627956.595	neos-4738912-atrato.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	6216	6216
Constraints	1947	1947
Binaries	1120	1120
Integers	5096	5096
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00161297	0.00161297
Nonzeroes	19521	19521

Constraint Classification Properties
	Original	Presolved
Total	2539	2539
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	3	6
Variable Bound	123	120
Set Partitioning	8	8
Set Packing	24	24
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	21	21
Integer Knapsack	592	592
Mixed Binary	0	0
General Linear	1768	1768
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	2.093422
Constraint %		0.667694	0.752878	0.667694	4.16025
Variable %		0.772201	0.813008	0.772201	2.44530
Score	0.916801

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	283627957	283627957	0	0	1e-07	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-4738912-atrato 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-4736745-arroux	easy	6216	1120	5096	0	1827	19281	Jeff Linderoth	neos-pseudoapplication-37	247345269.52	decomposition benchmark_suitable precedence set_partitioning set_packing knapsack integer_knapsack general_linear
neos-3373491-avoca	easy	2368	43	2325	0	1570	9438	Jeff Linderoth	neos-pseudoapplication-37	27449084632	numerics aggregations variable_bound invariant_knapsack integer_knapsack general_linear
bley_xs1noM	open	3243	2360	883	0	3290	25762	A. Bley	bley_x	3873690.77*	numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear
bley_xs1	open	3243	2360	883	0	3290	25762	A. Bley	bley_x	3922112.840000001*	numerics aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack knapsack mixed_binary general_linear
roll3000	easy	1166	246	492	428	2295	29386	L. Kroon	–	12889.999992	benchmark benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available