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

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.

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 115155 binary decomposition set_partitioning set_covering invariant_knapsack mixed_binary
opt1217 easy 769 768 0 1 64 1542 MIPLIB submission pool -16.0000000000001 set_partitioning mixed_binary

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
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