supportcase31

decomposition numerics precedence set_packing invariant_knapsack knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	488882	26195	1.432e-04	open	–	-3720089.081*	supportcase31.mps.gz

Instance coming from IBM developerWorks forum with unknown application.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	488882	488861
Constraints	26195	25415
Binaries	488760	488740
Integers	0	0
Continuous	122	121
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.000143200	0.000147478
Nonzeroes	1833860	1832320

Constraint Classification Properties
	Original	Presolved
Total	26195	25415
Empty	0	0
Free	0	0
Singleton	20	0
Aggregations	0	0
Precedence	1520	760
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	24454	24454
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	40	40
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	40
Integer Knapsack	0	0
Mixed Binary	161	121
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	4.387354
Constraint %		0.00393	0.00407	0.00393	3.21857
Variable %		0.00409	0.00410	0.00409	0.16773
Score	0.991998

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	-3720089	-3720089	0	0	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase31 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
gmut-76-50	open	68865	68859	6	2586	470045	Nora Konnyu	gmu	-14171893.7789212*	variable_bound set_packing mixed_binary
gmut-75-50	hard	68865	68859	6	2565	571475	Nora Konnyu	gmu	-14180699.047	variable_bound set_packing mixed_binary
gmut-76-40	open	24338	24332	6	2586	153017	Nora Konnyu	gmu	-14169441.78*	variable_bound set_packing mixed_binary
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

Reference

No bibliographic information available