rocII-10-11

aggregations precedence variable_bound set_partitioning set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Joerg Rambau	22968	52692	4.99257e-04	open	rocI	-11.78958471072697*	rocII-10-11.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	22968	15122
Constraints	52692	35151
Binaries	22616	14820
Integers	0	0
Continuous	352	302
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.000499257	0.000742240
Nonzeroes	604216	394540

Constraint Classification Properties
	Original	Presolved
Total	52692	35151
Empty	0	0
Free	0	0
Singleton	452	0
Aggregations	0	15
Precedence	935	758
Variable Bound	1124	1195
Set Partitioning	110	1320
Set Packing	1	206
Set Covering	0	0
Cardinality	1430	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	48640	31657
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	1.00000
Constraint %		0.494287	1.35193	0.594577	7.5325
Variable %		6.480540	11.03590	12.140400	12.1404
Score	0.11138

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	Cons. Viol	Obj. Viol	Submitter	Date	Description
3	-11.789585		0e+00	0e+00	Michael Winkler	2023-11-14	new incumbents found with Gurobi 10.0.2 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory running with default except for MIPGAP=0
2	-11.788307		1e-06	2e-07	Edward Rothberg	2020-04-22	Obtained with Gurobi 9.0 using the solution improvement heuristic
1	-8.736476	-8.736476	9e-07	0e+00	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rocII-10-11 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-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
fhnw-schedule-pairb400	open	160400	160000	400	399096	1197096	Simon Felix	schedule	-35.4584*	precedence variable_bound invariant_knapsack mixed_binary

Reference

No bibliographic information available