icir97_potential

precedence mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	2112	3314	1.42045e-03	hard	–	6325	icir97_potential.mps.gz

Imported from the MIPLIB2010 submissions. The instance was solved using 40 threads in about 8 hours using Gurobi 9.0.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	2112	2111
Constraints	3314	3314
Binaries	1235	1234
Integers	422	422
Continuous	455	455
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00142045	0.00142084
Nonzeroes	9942	9940

Constraint Classification Properties
	Original	Presolved
Total	3314	3314
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	2
Variable Bound	0	0
Set Partitioning	0	0
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	2470	2468
General Linear	844	844
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	1.462398
Constraint %		0.060350	0.911717	0.724200	3.6210
Variable %		0.142113	1.101370	0.947418	4.0739
Score	0.250706

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	6325		0	0	0	Hans Mittelmann	2019-12-18	Optimal solution found with Gurobi 9.0 using 40 threads in about 8 hours
1	6325	6325	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to icir97_potential 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
ic97_potential	easy	728	450	73	205	1046	3138	L. Peeters	–	3941.99993090225	benchmark benchmark_suitable precedence mixed_binary general_linear
neos-5115478-kaveri	easy	3114	2976	0	138	6498	19392	Jeff Linderoth	neos-pseudoapplication-54	1233.99999999096	numerics aggregations precedence mixed_binary
neos-5107597-kakapo	easy	3114	2976	0	138	6498	19392	Jeff Linderoth	neos-pseudoapplication-54	3644.99999999952	benchmark benchmark_suitable aggregations precedence mixed_binary
supportcase26	easy	436	396	0	40	870	2492	Michael Winkler	–	1745.123813	benchmark benchmark_suitable precedence mixed_binary
timtab1	easy	397	77	94	226	171	829	C. Liebchen, R. Möhring	timtab	764771.99999978	benchmark benchmark_suitable aggregations mixed_binary general_linear

Reference

No bibliographic information available