nh97_tension

benchmark_suitable aggregations mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1576	737	4.53202e-03	easy	–	1418	nh97_tension.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	1576	1492
Constraints	737	737
Binaries	257	263
Integers	361	351
Continuous	958	878
Implicit Integers	0	0
Fixed Variables	80	0
Nonzero Density	0.00453202	0.00438885
Nonzeroes	5264	4826

Constraint Classification Properties
	Original	Presolved
Total	737	737
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	32
Precedence	0	0
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	376	354
General Linear	361	351
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	0.301030
Constraint %		52.3745	52.3745	52.3745	52.3745
Variable %		51.0490	51.0490	51.0490	51.0490
Score	0.256379

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	1418	1418	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nh97_tension 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
timtab1	easy	397	77	94	226	171	829	C. Liebchen, R. Möhring	timtab	764771.99999978	benchmark benchmark_suitable aggregations mixed_binary general_linear
icir97_tension	easy	2494	262	573	1659	1203	22333	MIPLIB submission pool	–	6375	benchmark benchmark_suitable aggregations mixed_binary general_linear
ic97_tension	easy	703	176	4	523	319	2070	MIPLIB submission pool	–	3942	benchmark_suitable aggregations mixed_binary general_linear
timtab1CUTS	easy	397	77	94	226	371	1742	C. Liebchen, R. Möhring	timtab	764771.9999997859	benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary general_linear
icir97_potential	hard	2112	1235	422	455	3314	9942	MIPLIB submission pool	–	6325	precedence mixed_binary general_linear

Reference

No bibliographic information available