ofi2

numerics aggregations precedence variable_bound set_partitioning set_covering binpacking knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Luigi Poderico	420434	422587	9.99499e-06	hard	–	6153907910.792608	ofi2.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	420434	337422
Constraints	422587	178941
Binaries	18632	24500
Integers	11073	0
Continuous	390729	312922
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	9.99499e-06	1.85112e-05
Nonzeroes	1775810	1117680

Constraint Classification Properties
	Original	Presolved
Total	426423	178941
Empty	0	0
Free	0	0
Singleton	195016	0
Aggregations	40676	37846
Precedence	9014	6267
Variable Bound	51175	36397
Set Partitioning	0	3836
Set Packing	0	0
Set Covering	0	72
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	368
Knapsack	0	4
Integer Knapsack	3836	0
Mixed Binary	106604	94151
General Linear	20102	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
Constraint %
Variable %
Score

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
2	6153907911	0	0	0.0e+00	3.4e-06	Michael Winkler	2023-05-18	Found with Gurobi 10.0.1 on an AMD EPYC 7313P 16-Core Processor with 256 GB of memory within 7h.
1	6153920484	6153920484	0	8.9e-06	2.1e-06	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ofi2 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
ofi	easy	420434	29705	0	390729	422587	1775809	Luigi Poderico	–	6155380000	numerics aggregations precedence variable_bound set_partitioning mixed_binary
ta2-UUE	easy	9241	1188	0	8053	2687	26533	MIPLIB submission pool	network_design	37871728.59	numerics aggregations set_packing mixed_binary
neos-3355120-tarago	open	7800	4700	3100	0	86633	265500	Hans Mittelmann	neos-pseudoapplication-52	-11115965.664625322*	decomposition numerics aggregations precedence variable_bound set_partitioning set_packing cardinality binpacking integer_knapsack mixed_binary general_linear
neos-799711	easy	41998	910	0	41088	59218	147164	NEOS Server Submission	neos-pseudoapplication-25	-11170211.734	numerics aggregations precedence variable_bound set_partitioning set_packing cardinality mixed_binary
neos-3699377-maori	easy	17233	1856	0	15377	5587	125895	Jeff Linderoth	neos-pseudoapplication-3	135877.224265	decomposition numerics variable_bound mixed_binary

Reference

No bibliographic information available