misc07

set_partitioning set_packing set_covering cardinality invariant_knapsack binpacking general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 260 212 1.56368e-01 easy misc 2810 misc07.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 260 254
Constraints 212 212
Binaries 259 253
Integers 0 1
Continuous 1 0
Implicit Integers 0 1
Fixed Variables 0 0
Nonzero Density 0.156368 0.159282
Nonzeroes 8619 8577
Constraint Classification Properties
Original Presolved
Total 212 212
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 7 7
Set Packing 3 3
Set Covering 127 127
Cardinality 27 27
Invariant Knapsack 45 45
Equation Knapsack 0 0
Bin Packing 2 2
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 1 0
General Linear 0 1
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.845098
Constraint % 0.471698 10.3774 0.471698 59.9057
Variable % 3.149610 14.8294 5.511810 66.1417
Score 0.225338

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 2810 2810 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to misc07 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
misc05inf easy 136 74 0 62 301 2946 MIPLIB submission pool misc Infeasible infeasible variable_bound set_partitioning set_covering cardinality mixed_binary general_linear
ns1208400 easy 2883 2880 0 3 4289 81746 NEOS Server Submission neos-pseudoapplication-108 2 benchmark benchmark_suitable variable_bound set_partitioning set_covering invariant_knapsack mixed_binary general_linear
roll3000 easy 1166 246 492 428 2295 29386 L. Kroon 12889.999992 benchmark benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking integer_knapsack mixed_binary general_linear
nursesched-sprint02 easy 10250 10230 20 0 3522 204000 Haroldo Gambini Santos nursescheduling 57.99999999999999 benchmark benchmark_suitable set_partitioning set_packing cardinality invariant_knapsack general_linear
neos-850681 easy 2594 2479 16 99 2067 37113 NEOS Server Submission neos-pseudoapplication-12 2472 benchmark_suitable aggregations variable_bound set_partitioning set_packing invariant_knapsack general_linear

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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