arki001

numerics variable_bound set_packing invariant_knapsack integer_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1388	1048	1.4038e-02	easy	–	7580813.0459	arki001.mps.gz

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	1388	998
Constraints	1048	783
Binaries	442	387
Integers	96	96
Continuous	850	515
Implicit Integers	0	0
Fixed Variables	353	0
Nonzero Density	0.0140380	0.0201028
Nonzeroes	20420	15709

Constraint Classification Properties
	Original	Presolved
Total	1048	783
Empty	0	0
Free	0	0
Singleton	29	0
Aggregations	0	0
Precedence	0	0
Variable Bound	476	367
Set Partitioning	0	0
Set Packing	2	2
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	19	19
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	4	8
Mixed Binary	113	85
General Linear	405	302
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	1.380211
Constraint %		0.127714	2.19890	2.55428	2.93742
Variable %		1.253620	3.45059	3.47155	5.59306
Score	0.487080

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	7580813	7580813	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to arki001 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
neos-5182409-nasivi	easy	2005	1600	0	405	580	14884	Jeff Linderoth	neos-pseudoapplication-32	301.99999992	benchmark_suitable aggregations set_partitioning set_packing invariant_knapsack mixed_binary general_linear
nag	open	2884	1350	35	1499	5840	26499	N. Shenoy	–	945*	aggregations precedence variable_bound set_partitioning mixed_binary general_linear
icir97_tension	easy	2494	262	573	1659	1203	22333	MIPLIB submission pool	–	6375	benchmark benchmark_suitable aggregations mixed_binary general_linear
lectsched-5-obj	easy	21805	21389	416	0	38884	239608	Harald Schilly	lectsched	24	benchmark benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack integer_knapsack general_linear
lectsched-4-obj	easy	7901	7665	236	0	14163	82428	Harald Schilly	lectsched	4	benchmark_suitable aggregations precedence variable_bound set_covering integer_knapsack general_linear

Reference

No bibliographic information available