roi5alpha10n8

benchmark decomposition benchmark_suitable variable_bound cardinality binpacking mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	106150	4665	4.7865e-03	easy	–	-52.322274351	roi5alpha10n8.mps.gz

Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	106150	30298
Constraints	4665	4665
Binaries	105950	30098
Integers	0	0
Continuous	200	200
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0047865	0.0156963
Nonzeroes	2370220	2218520

Constraint Classification Properties
	Original	Presolved
Total	4665	4665
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	3813	3813
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	2	2
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	650	650
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	200	200
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	1.361728
Constraint %		0.0214362	3.91016	0.0214362	79.7642
Variable %		0.0066000	4.54545	0.0066000	97.8546
Score	0.802642

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	-52.32227	-52.32227	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to roi5alpha10n8 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
roi2alpha3n4	easy	6816	6642	0	174	1251	878812	Domenico Salvagnin	–	-63.20849503	benchmark benchmark_suitable variable_bound cardinality binpacking mixed_binary
prod2	easy	301	200	0	101	211	10501	MIPLIB submission pool	–	-62	benchmark_suitable variable_bound set_partitioning mixed_binary
prod1	easy	250	149	0	101	208	5350	MIPLIB submission pool	–	-56	benchmark_suitable variable_bound set_partitioning set_covering mixed_binary
neos-1171448	easy	4914	2457	0	2457	13206	131859	NEOS Server Submission	neos-pseudoapplication-8	-309	benchmark benchmark_suitable variable_bound invariant_knapsack mixed_binary
fhnw-binschedule2	open	30973	30504	468	1	6503	134640	Simon Felix	fhnw-bin	2428*	decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear

Reference

No bibliographic information available