van

precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
C. Mannino, E. Parrello	12481	27331	1.42853e-03	open	–	4.57384993378808*	van.mps.gz

Telecommunications network model 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	12481	7552
Constraints	27331	22400
Binaries	192	192
Integers	0	0
Continuous	12289	7360
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.00142853	0.00285033
Nonzeroes	487296	482176

Constraint Classification Properties
	Original	Presolved
Total	27331	22400
Empty	0	0
Free	0	0
Singleton	4928	0
Aggregations	0	0
Precedence	128	128
Variable Bound	7552	7552
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	14723	14720
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	0.602060
Constraint %		14.3678	21.8391	25.5747	25.5747
Variable %		22.0310	33.3289	38.9779	38.9779
Score	0.424149

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	4.573850		0	0	0	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	4.823637	4.823637	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to van 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
istanbul-no-cutoff	easy	5282	30	5252	20346	71477	Utz-Uwe Haus	–	204.08170701	benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
snip10x10-35r1budget17	hard	47611	63	47548	213801	475334	Utz-Uwe Haus	–	72.30862035707088	aggregations variable_bound invariant_knapsack mixed_binary
neos-5188808-nattai	easy	14544	288	14256	29452	133686	Jeff Linderoth	neos-pseudoapplication-98	0.110283622999984	benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
neos-3759587-noosa	easy	27029	4289	22740	72104	318169	Jeff Linderoth	neos-pseudoapplication-61	48.334467769	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
neos-3755335-nizao	easy	40938	5226	35712	111026	547794	Jeff Linderoth	neos-pseudoapplication-61	50.0301565326	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Reference

@article{FischettiLodi2003,
 author = {Fischetti, Matteo and Lodi, Andrea},
 issn = {0025-5610},
 issue = {1},
 journal = {Mathematical Programming},
 keyword = {Mathematics and Statistics},
 pages = {23-47},
 publisher = {Springer},
 title = {Local branching},
 volume = {98},
 year = {2003}
}