fiber

decomposition aggregations set_partitioning cardinality general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1298	363	6.24822e-03	easy	–	405935.18	fiber.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	1298	1283
Constraints	363	348
Binaries	1254	1239
Integers	0	44
Continuous	44	0
Implicit Integers	0	44
Fixed Variables	0	0
Nonzero Density	0.00624822	0.00649295
Nonzeroes	2944	2899

Constraint Classification Properties
	Original	Presolved
Total	363	348
Empty	0	0
Free	0	0
Singleton	15	0
Aggregations	41	42
Precedence	0	0
Variable Bound	0	0
Set Partitioning	23	33
Set Packing	0	0
Set Covering	0	0
Cardinality	240	229
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	44	0
General Linear	0	44
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	1.799341
Constraint %		0.287356	1.40897	0.287356	6.60920
Variable %		0.155763	1.01497	0.155763	5.21807
Score	0.836995

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	405935.2	405935.2	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fiber 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
nu120-pr12	easy	5868	5832	36	0	2313	17712	MIPLIB submission pool	nus-prxy	42215	decomposition aggregations variable_bound cardinality general_linear
nu25-pr12	easy	5868	5832	36	0	2313	17712	MIPLIB submission pool	nus-prxy	53904.99999999999	benchmark decomposition benchmark_suitable aggregations variable_bound cardinality general_linear
nu120-pr9	easy	7350	7308	42	0	2220	22176	MIPLIB submission pool	nus-prxy	24945	decomposition numerics aggregations variable_bound cardinality general_linear
rococoC11-010100	hard	12321	12155	166	0	4010	46955	A. Chabrier, E. Danna, C. Le Pape, L. Perron	rococo	20889	decomposition aggregations precedence set_partitioning cardinality invariant_knapsack general_linear
neos-826650	easy	5912	5792	0	120	2414	20440	NEOS Server Submission	neos-pseudoapplication-87	29	decomposition benchmark_suitable aggregations set_partitioning set_packing cardinality binpacking mixed_binary general_linear

Reference

No bibliographic information available