s82

numerics aggregations set_partitioning set_packing cardinality invariant_knapsack binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 1690631 87878 4.72682e-05 open Spinoza -33.759620587* s82.mps.gz

Wine Scheduling problem with 82 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 1690631 1667649
Constraints 87878 87207
Binaries 1690577 1667614
Integers 0 0
Continuous 54 35
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 4.72682e-05 4.58830e-05
Nonzeroes 7022610 6672800
Constraint Classification Properties
Original Presolved
Total 87878 87207
Empty 39 0
Free 0 0
Singleton 24 0
Aggregations 1475 1466
Precedence 0 0
Variable Bound 0 0
Set Partitioning 2423 25738
Set Packing 77 78
Set Covering 77 0
Cardinality 83707 59817
Invariant Knapsack 0 61
Equation Knapsack 0 0
Bin Packing 1 1
Knapsack 20 11
Integer Knapsack 0 0
Mixed Binary 35 35
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
Constraint %
Variable %
Score

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 -33.75962 -33.75962 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to s82 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
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
s250r10 easy 273142 273139 0 3 10962 1318610 Daniel Espinoza Spinoza -0.1717804834232 benchmark benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
s100 hard 364417 364417 0 0 14733 1777920 Daniel Espinoza Spinoza -0.1697235270583 benchmark binary benchmark_suitable aggregations set_partitioning set_packing cardinality invariant_knapsack knapsack
supportcase6 easy 130052 130051 1 0 771 584976 Michael Winkler 51906.47737 benchmark benchmark_suitable set_partitioning cardinality general_linear
neos-4531126-vouga open 169996 169996 0 0 7694 967980 Jeff Linderoth neos-pseudoapplication-87 544045.0657848* binary decomposition numerics set_partitioning cardinality invariant_knapsack binpacking mixed_binary

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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