rocII-5-11

benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Joerg Rambau	11523	26897	9.78566e-04	easy	rocI	-6.675504731538	rocII-5-11.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	11523	5327
Constraints	26897	13009
Binaries	11341	5195
Integers	0	0
Continuous	182	132
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.000978566	0.001945930
Nonzeroes	303291	134851

Constraint Classification Properties
	Original	Presolved
Total	26897	13009
Empty	0	0
Free	0	0
Singleton	232	0
Aggregations	0	15
Precedence	495	318
Variable Bound	1069	1073
Set Partitioning	55	550
Set Packing	1	96
Set Covering	0	0
Cardinality	715	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	24330	10957
General Linear	0	0
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	0.698970
Constraint %		1.25993	4.41203	1.48818	13.4119
Variable %		13.13130	24.60160	26.53200	32.2110
Score	0.146678

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	-6.675505	-6.675505	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rocII-5-11 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
rocII-8-11	open	18390	18106	284	42374	483846	Joerg Rambau	rocI	-8.739845350261154*	aggregations precedence variable_bound set_partitioning set_packing mixed_binary
rocII-10-11	open	22968	22616	352	52692	604216	Joerg Rambau	rocI	-11.79399274280434*	aggregations precedence variable_bound set_partitioning set_packing mixed_binary
app1-1	easy	2480	1225	1255	4926	18275	Emilie Danna	app	-3	benchmark benchmark_suitable precedence variable_bound set_covering mixed_binary
fhnw-schedule-pairb200	open	40200	40000	200	99554	298554	Simon Felix	schedule	-19.24094384259708*	precedence variable_bound invariant_knapsack mixed_binary
net12	easy	14115	1603	12512	14021	80384	P. Belotti	–	214	benchmark decomposition benchmark_suitable precedence set_packing cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available