s100

benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 364417 14733 3.31148e-04 hard Spinoza -0.1697235270583 s100.mps.gz

Wine Scheduling problem with 100 jobs and four processing machines Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 364417 334717
Constraints 14733 14037
Binaries 364417 334717
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000331148 0.000279009
Nonzeroes 1777920 1310900
Constraint Classification Properties
Original Presolved
Total 14733 14037
Empty 64 0
Free 0 0
Singleton 61 0
Aggregations 17 6
Precedence 0 0
Variable Bound 0 0
Set Partitioning 265 576
Set Packing 39 41
Set Covering 39 0
Cardinality 14236 13404
Invariant Knapsack 0 2
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 12 8
Integer Knapsack 0 0
Mixed Binary 0 0
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 0.4771212
Constraint % 22.97500 49.9715 49.9715 76.968
Variable % 9.30766 49.9973 49.9973 90.687
Score 0.2800460

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 -0.1697235 -0.1697235 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to s100 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
tbfp-network easy 72747 72747 0 0 2436 215837 Rob Pratt 24.16319444 benchmark binary benchmark_suitable set_partitioning cardinality
datt256 open 262144 262144 0 0 11077 1503732 Jon Dattorro no_solution binary set_partitioning cardinality
neos-4531126-vouga open 169996 169996 0 0 7694 967980 Jeff Linderoth neos-pseudoapplication-87 525030.8846192999* binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary
s55 easy 78141 78137 0 4 9892 317902 Daniel Espinoza Spinoza -22.15177316 benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
supportcase6 easy 130052 130051 1 0 771 584976 Michael Winkler 51906.47737 benchmark benchmark_suitable set_partitioning cardinality general_linear

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
generated with R Markdown
© 2023 by Zuse Institute Berlin (ZIB)
Imprint