supportcase18

benchmark binary benchmark_suitable set_partitioning binpacking

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	13410	240	8.98583e-03	easy	–	48	supportcase18.mps.gz

MIP instances collected from Gurobi 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	13410	13410
Constraints	240	240
Binaries	13410	13410
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00898583	0.00898583
Nonzeroes	28920	28920

Constraint Classification Properties
	Original	Presolved
Total	240	240
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	120	120
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	120	120
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
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	1.322219
Constraint %		0.416667	2.5	2.29167	8.33333
Variable %		0.902312	5.0	4.58986	16.48020
Score	0.454850

Best Known Solution(s)

No solution available for supportcase18 .

Similar instances in collection

The following instances are most similar to supportcase18 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-3322547-alsek	hard	1001000	1001000	0	0	2000	2001000	Jeff Linderoth	neos-pseudoapplication-77	399.0	binary set_partitioning binpacking
neos-503737	easy	2850	2500	0	350	500	16850	NEOS Server Submission	neos-pseudoapplication-47	50	benchmark_suitable set_partitioning mixed_binary
peg-solitaire-a3	easy	4552	4552	0	0	4587	28387	Hiroshige Dan ; Koichi Fujii	pegsolitaire	1	benchmark binary benchmark_suitable aggregations variable_bound set_partitioning cardinality binpacking
neos-4343293-stony	hard	9400	4698	0	4702	10650	55668	Jeff Linderoth	neos-pseudoapplication-58	46.38468271624112	variable_bound binpacking mixed_binary
fhnw-binschedule2	open	30973	30504	468	1	6503	134640	Simon Felix	fhnw-bin	2428*	decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear

Reference

No bibliographic information available