h50x2450

decomposition benchmark_suitable variable_bound set_partitioning mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 4900 2549 9.72931e-04 easy fixed-cost-network-flow 32906.880834 h50x2450.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4900 4851
Constraints 2549 2500
Binaries 2450 2450
Integers 0 0
Continuous 2450 2401
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000972931 0.000993939
Nonzeroes 12152 12054
Constraint Classification Properties
Original Presolved
Total 2549 2500
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 2450 2401
Set Partitioning 49 49
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 50 50
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 3.371806
Constraint % 0.0400000 0.0408330 0.0400000 2.0000
Variable % 0.0412286 0.0420697 0.0412286 2.0202
Score 0.960008

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 32906.88 32906.88 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to h50x2450 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
n370b open 10000 5000 0 5000 5150 20000 J. Aronson n37 1220708.0* decomposition variable_bound mixed_binary
n3707 open 10000 5000 0 5000 5150 20000 J. Aronson n37 1186691.0* decomposition variable_bound mixed_binary
n3700 open 10000 5000 0 5000 5150 20000 J. Aronson n37 1218974.9999999998* decomposition variable_bound mixed_binary
n3709 open 10000 5000 0 5000 5150 20000 J. Aronson n37 1205801.0* decomposition variable_bound mixed_binary
n3705 open 10000 5000 0 5000 5150 20000 J. Aronson n37 1212657.0* decomposition variable_bound mixed_binary

Reference

No bibliographic information available

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