ofi

numerics aggregations precedence variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Luigi Poderico	420434	422587	9.99499e-06	easy	–	6155380000	ofi.mps.gz

Natural gas supply portfolio optimization Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	420434	319430
Constraints	422587	161201
Binaries	29705	8546
Integers	0	0
Continuous	390729	310884
Implicit Integers	0	0
Fixed Variables	11073	0
Nonzero Density	9.99499e-06	2.03990e-05
Nonzeroes	1775810	1050390

Constraint Classification Properties
	Original	Presolved
Total	422587	161201
Empty	0	0
Free	0	0
Singleton	195016	0
Aggregations	40676	36742
Precedence	9014	5899
Variable Bound	51175	34395
Set Partitioning	3836	140
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	122870	84025
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
Constraint %
Variable %
Score

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
1	6155384460		2e-07	0.0019489	5.3e-06	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ofi 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
ofi2	hard	420434	18632	11073	390729	422587	1775809	Luigi Poderico	–	6153907910.792608	numerics aggregations precedence variable_bound set_partitioning set_covering binpacking knapsack 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
ta1-UUM	easy	2288	0	605	1683	439	5654	MIPLIB submission pool	network_design	7518328.199999998	decomposition numerics aggregations mixed_binary general_linear

Reference

No bibliographic information available