supportcase37

benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Domenico Salvagnin 20047 59023 1.14624e-04 easy – -1048.96 supportcase37.mps.gz

Instance coming from IBM developerWorks forum with unknown application.

Location of instance in collection

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 20047 18946
Constraints 59023 57783
Binaries 1484 405
Integers 0 0
Continuous 18563 18541
Implicit Integers 0 0
Fixed Variables 1 0
Nonzero Density 0.000114624 0.000121082
Nonzeroes 135627 132555
Constraint Classification Properties
Original Presolved
Total 59023 57783
Empty 0 0
Free 0 0
Singleton 70 0
Aggregations 16 16
Precedence 27298 27288
Variable Bound 23376 22229
Set Partitioning 23 23
Set Packing 10 5
Set Covering 678 0
Cardinality 1 0
Invariant Knapsack 0 678
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 7551 7544
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 of original problem

Matrix after trivial presolving

Nonzero entries after trivial presolving

Decomposed structure of original problem

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving

Decomposed structure after trivial presolving (dec-file)

value min median mean max
Components 1.995635
Constraint % 0.0017300 0.145921 0.0017300 14.1272
Variable % 0.0105335 0.546991 0.0158003 51.8987
Score 0.069684

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 -1048.96 -1048.96 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase37 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-3759587-noosa easy 27029 4289 0 22740 72104 318169 Jeff Linderoth neos-pseudoapplication-61 48.334467769 benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
neos-3755335-nizao easy 40938 5226 0 35712 111026 547794 Jeff Linderoth neos-pseudoapplication-61 50.0301565326 benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
neos-3209462-rhin hard 56453 383 0 56070 170226 447473 Jeff Linderoth neos-pseudoapplication-98 12 aggregations precedence variable_bound set_partitioning set_covering cardinality invariant_knapsack mixed_binary
qiu easy 840 48 0 792 1192 3432 Y. Chiu, J. Eckstein – -132.87313695 benchmark_suitable precedence variable_bound mixed_binary
neos-873061 easy 175288 87644 0 87644 93360 350576 NEOS Server Submission neos-pseudoapplication-61 113.6562385063 benchmark decomposition benchmark_suitable precedence variable_bound mixed_binary

Reference

No bibliographic information available
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