rocI-3-11

numerics aggregations precedence variable_bound set_partitioning mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Joerg Rambau	5132	8165	4.90182e-04	easy	rocI	-50403	rocI-3-11.mps.gz

Optimal control model in the deterministic dynamic system given by bounded-confidence dynamics in a system of opinions Imported from the MIPLIB2010 submissions. Rambau opinion control.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	5132	2490
Constraints	8165	4120
Binaries	3894	1549
Integers	762	659
Continuous	476	282
Implicit Integers	0	1
Fixed Variables	462	0
Nonzero Density	0.000490182	0.001007330
Nonzeroes	20540	10334

Constraint Classification Properties
	Original	Presolved
Total	8165	4120
Empty	0	0
Free	0	0
Singleton	506	0
Aggregations	363	806
Precedence	1452	524
Variable Bound	1947	1117
Set Partitioning	825	221
Set Packing	0	0
Set Covering	0	0
Cardinality	396	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2211	1206
General Linear	465	246
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	2.578639
Constraint %		0.0247463	0.169493	0.123732	6.60728
Variable %		0.0636132	0.207248	0.159033	7.02926
Score	0.634762

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	-50403		0	1e-06	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rocI-3-11 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
rocI-4-11	easy	6839	5192	1016	631	10883	27383	Joerg Rambau	rocI	-6020203	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary general_linear
shipschedule6shipsmixi	easy	18770	10310	7104	1356	27823	55903	Gleb Belov	shipschedule	-301650	indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear
shipschedule8shipsmixuci	easy	25206	13635	9763	1808	37821	75480	Gleb Belov	shipschedule	-389100	indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_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
shipschedule3shipsi	easy	10513	4817	4343	1353	16727	31243	Gleb Belov	shipschedule	-265650	indicator numerics aggregations precedence variable_bound set_partitioning invariant_knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available