ger50-17-trans-dfn-3t

mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
C. Raack	22414	499	1.53814e-02	open	ger50	3969.4334*	ger50-17-trans-dfn-3t.mps.gz

Multi-layer network design problem using a link-flow formulation over a path-flow formulation. 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	22414	22382
Constraints	499	498
Binaries	0	0
Integers	18062	18062
Continuous	4352	4320
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0153814	0.0154258
Nonzeroes	172035	171940

Constraint Classification Properties
	Original	Presolved
Total	499	498
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
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	273	272
General Linear	226	226
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	1.230449
Constraint %		3.41365	3.41365	3.41365	3.41365
Variable %		1.20633	1.20633	1.20633	1.20633
Score	0.539596

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	Cons. Viol	Submitter	Date	Description
3	3969.433		7e-07	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	3991.682		0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	4004.582	4004.582	0e+00	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ger50-17-trans-dfn-3t 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	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
ger50-17-trans-pop-3t	open	22414	18062	4352	499	172035	C. Raack	ger50	4038.441*	mixed_binary general_linear
ger50_17_trans	hard	22414	18062	4352	499	172035	C. Raack	ger50	7393.2618	numerics mixed_binary general_linear
ger50-17-ptp-pop-3t	open	4892	540	4352	545	14285	C. Raack	ger50	5224.5144*	mixed_binary general_linear
ger50-17-ptp-pop-6t	hard	4892	540	4352	545	14285	C. Raack	ger50	8942.6328	mixed_binary general_linear
ta1-UUM	easy	2288	605	1683	439	5654	MIPLIB submission pool	network_design	7518328.199999998	decomposition numerics aggregations mixed_binary general_linear

Reference

No bibliographic information available