gen

decomposition variable_bound integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 870 780 3.81963e-03 easy 112313.3627179998 gen.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 870 797
Constraints 780 622
Binaries 144 108
Integers 6 5
Continuous 720 684
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00381963 0.00416352
Nonzeroes 2592 2064
Constraint Classification Properties
Original Presolved
Total 786 627
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 438 335
Set Partitioning 0 0
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 6 5
Mixed Binary 336 282
General Linear 6 5
Indicator 0 0

Structure

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

value min median mean max
Components 1.397940
Constraint % 1.1254 3.44319 3.53698 4.34084
Variable % 2.8777 3.46723 3.47722 4.07674
Score 0.797451

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 112313.4 112313.4 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen 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
ran13x13 easy 338 169 0 169 195 676 J. Aronson ran 3252 decomposition benchmark_suitable variable_bound mixed_binary
ran12x21 easy 504 252 0 252 285 1008 J. Aronson ran 3663.999999980964 decomposition benchmark_suitable variable_bound mixed_binary
bienst2 easy 505 35 0 470 576 2184 H. Mittelmann 54.59999999999996 decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary
bienst1 easy 505 28 0 477 576 2184 MIPLIB submission pool 46.7499999999999 decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary
newdano easy 505 56 0 449 576 2184 Daniel Bienstock dano 65.66666666 decomposition benchmark_suitable precedence variable_bound cardinality mixed_binary

Reference

No bibliographic information available

Last Update 2024 by Mark Turner
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