rocI-4-11

benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Joerg Rambau	6839	10883	3.67908e-04	easy	rocI	-6020203	rocI-4-11.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	6839	3809
Constraints	10883	6390
Binaries	5192	2461
Integers	1016	913
Continuous	631	435
Implicit Integers	0	1
Fixed Variables	616	0
Nonzero Density	0.000367908	0.000661106
Nonzeroes	27383	16091

Constraint Classification Properties
	Original	Presolved
Total	10883	6390
Empty	0	0
Free	0	0
Singleton	671	0
Aggregations	484	1194
Precedence	1936	850
Variable Bound	2596	1714
Set Partitioning	1100	342
Set Packing	0	0
Set Covering	0	0
Cardinality	528	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	2948	1911
General Linear	620	379
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	2.768638
Constraint %		0.0159821	0.108193	0.0799105	4.26722
Variable %		0.0444247	0.142864	0.1110620	4.90893
Score	0.630966

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	-6020203	-6020203	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rocI-4-11 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-3-11	easy	5132	3894	762	476	8165	20540	Joerg Rambau	rocI	-50403	numerics 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
piperout-08	easy	10399	10245	130	24	14589	44959	Gleb Belov	piperout	125054.9999999999	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack 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