mad

benchmark benchmark_suitable set_partitioning set_packing invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Koichi Fujii	220	51	2.50267e-01	easy	–	0.0268	mad.mps.gz

Mean-Absolute Deviation Model for Car Dealerships

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	220	220
Constraints	51	40
Binaries	200	200
Integers	0	0
Continuous	20	20
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.250267	0.273864
Nonzeroes	2808	2410

Constraint Classification Properties
	Original	Presolved
Total	51	40
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	20	20
Set Packing	1	1
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	9	9
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	21	10
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 %		2.50000	2.50000	2.50000	2.50000
Variable %		4.54545	4.54545	4.54545	4.54545
Score	0.477273

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	0.0268	0.0268	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mad 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-911970	easy	888	840	0	48	107	3408	NEOS Server Submission	neos-pseudoapplication-70	54.76	benchmark benchmark_suitable set_partitioning set_covering mixed_binary
neos-503737	easy	2850	2500	0	350	500	16850	NEOS Server Submission	neos-pseudoapplication-47	50	benchmark_suitable set_partitioning mixed_binary
neos-1354092	easy	13702	13282	420	0	3135	187187	NEOS Server Submission	neos-pseudoapplication-47	46	benchmark decomposition benchmark_suitable variable_bound set_partitioning general_linear
mitre	easy	10724	10724	0	0	2054	39704	MIPLIB submission pool	–	115154.9999999991	binary decomposition set_partitioning set_covering invariant_knapsack mixed_binary
opt1217	easy	769	768	0	1	64	1542	MIPLIB submission pool	–	-16.00000000000012	set_partitioning mixed_binary

Reference

No bibliographic information available