rocII-8-11

aggregations precedence variable_bound set_partitioning set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Joerg Rambau	18390	42374	6.20906e-04	open	rocI	-8.739845350261154*	rocII-8-11.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	18390	11204
Constraints	42374	26321
Binaries	18106	10970
Integers	0	0
Continuous	284	234
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.000620906	0.000985817
Nonzeroes	483846	290718

Constraint Classification Properties
	Original	Presolved
Total	42374	26321
Empty	0	0
Free	0	0
Singleton	364	0
Aggregations	0	15
Precedence	759	582
Variable Bound	1102	1173
Set Partitioning	88	1012
Set Packing	1	162
Set Covering	0	0
Cardinality	1144	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	38916	23377
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	0.903090
Constraint %		0.651374	1.93119	0.783536	8.97763
Variable %		7.888210	14.17300	16.170800	16.17080
Score	0.121137

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
2	-8.739845		0	1.2e-06	0	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	-6.710633	-6.710633	0	0.0e+00	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rocII-8-11 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-10-11	open	22968	22616	352	52692	604216	Joerg Rambau	rocI	-11.78958471072697*	aggregations precedence variable_bound set_partitioning set_packing mixed_binary
rocII-5-11	easy	11523	11341	182	26897	303291	Joerg Rambau	rocI	-6.675504731538	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing 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
app1-1	easy	2480	1225	1255	4926	18275	Emilie Danna	app	-3	benchmark benchmark_suitable precedence variable_bound set_covering mixed_binary

Reference

No bibliographic information available