germanrr

benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Q. Chen	10813	10779	1.50615e-03	easy	–	47095869.649	germanrr.mps.gz

Model from a German railroad company. Solved in June 2013 by CPLEX 12.5.1 (24 threads) in about 5.2 hours. 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	10813	10770
Constraints	10779	5525
Binaries	5323	5288
Integers	5251	5481
Continuous	239	1
Implicit Integers	0	230
Fixed Variables	43	0
Nonzero Density	0.00150615	0.00286042
Nonzeroes	175547	170207

Constraint Classification Properties
	Original	Presolved
Total	10779	5525
Empty	0	0
Free	0	0
Singleton	5254	0
Aggregations	0	0
Precedence	1	1
Variable Bound	5285	5285
Set Partitioning	0	8
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	119	0
General Linear	120	231
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	3.720407
Constraint %		0.0180995	0.0182167	0.0180995	0.0361991
Variable %		0.0185563	0.0186164	0.0185563	0.0278345
Score	0.956563

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	47095870	47095870	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to germanrr 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
rout	easy	556	300	15	241	291	2431	MIPLIB submission pool	–	1077.559999999999	decomposition benchmark_suitable variable_bound set_packing integer_knapsack general_linear
neos-3075395-nile	easy	26928	1728	0	25200	27756	102672	Jeff Linderoth	neos-pseudoapplication-50	6021719.99999999	decomposition numerics aggregations variable_bound set_packing invariant_knapsack knapsack mixed_binary
Test3	easy	72215	33143	0	39072	50680	617867	MIPLIB submission pool	–	2673520.21135	numerics aggregations variable_bound set_partitioning binpacking knapsack mixed_binary
npmv07	easy	220686	1880	0	218806	76342	859614	Q. Chen	–	104809812543.8479	numerics aggregations variable_bound mixed_binary
n3705	open	10000	5000	0	5000	5150	20000	J. Aronson	n37	1212657.0*	decomposition variable_bound mixed_binary

Reference

@misc{coral,
 key = {zzz coral},
 note = {http://coral.ie.lehigh.edu/data-sets/mixed-integer-instances/},
 title = {{COR@L} {MIP} {I}nstances},
 year = {2010}
}