blp-ir98

decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
M. Lübbecke	6097	486	2.67122e-02	easy	blp	2342.315488	blp-ir98.mps.gz

Railway line planning instance 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	6097	6096
Constraints	486	486
Binaries	6031	6031
Integers	0	64
Continuous	66	1
Implicit Integers	0	64
Fixed Variables	1	0
Nonzero Density	0.0267122	0.0267162
Nonzeroes	79152	79151

Constraint Classification Properties
	Original	Presolved
Total	486	486
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	420	420
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	1
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	66	1
General Linear	0	64
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	2.624282
Constraint %		0.2057610	0.205761	0.205761	0.205761
Variable %		0.0492045	0.235518	0.229621	0.295227
Score	0.862162

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	2342.315	2342.315	0	1.2e-05	1.2e-05	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to blp-ir98 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
blp-ar98	easy	16021	15806	215	1128	200601	M. Lübbecke	blp	6205.2147104	benchmark decomposition benchmark_suitable variable_bound set_packing equation_knapsack mixed_binary general_linear
blp-ic98	easy	13640	13550	90	717	191947	M. Lübbecke	blp	4491.44758395	benchmark decomposition benchmark_suitable set_packing mixed_binary general_linear
blp-ic97	easy	9845	9753	92	923	118149	M. Lübbecke	blp	4025.023580799999	decomposition benchmark_suitable set_packing mixed_binary general_linear
neos-3116779-oban	easy	5141	5140	1	328	20561	Jeff Linderoth	neos-pseudoapplication-26	0	decomposition set_packing knapsack general_linear
neos-4409277-trave	hard	14363	14362	1	7875	204518	Jeff Linderoth	neos-pseudoapplication-47	3	variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available