gen-ip002

benchmark benchmark_suitable general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Simon Bowly 41 24 9.36992e-01 easy generated -4783.733392 gen-ip002.mps.gz

Randomly generated integer and binary programming instances. These results are part of an early phase of work aimed at generating diverse and challenging MIP instances for experimental testing. We have aimed to produce small integer and binary programming instances which are reasonably difficult to solve and have varied structure, eliciting a range of behaviour in state of the art algorithms.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 41 41
Constraints 24 24
Binaries 0 0
Integers 41 41
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.936992 0.936992
Nonzeroes 922 922
Constraint Classification Properties
Original Presolved
Total 24 24
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
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 0 0
Mixed Binary 0 0
General Linear 24 24
Indicator 0 0

Structure

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

value min median mean max
Components 0.301030
Constraint % 4.16667 4.16667 4.16667 4.16667
Variable % 63.41460 63.41460 63.41460 63.41460
Score 0.015244

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 -4783.733 -4783.733 0 0 4e-07 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip002 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
gen-ip021 easy 35 0 35 0 28 945 Simon Bowly generated 2361.45419519 benchmark_suitable general_linear
gen-ip036 easy 29 0 29 0 46 1303 Simon Bowly generated -4606.67961 benchmark_suitable general_linear
gen-ip054 easy 30 0 30 0 27 532 Simon Bowly generated 6840.96564179 benchmark benchmark_suitable variable_bound general_linear
mik-250-20-75-2 easy 270 75 175 20 195 9270 MIPLIB submission pool mik_250 -50768 general_linear
gen-ip016 easy 28 0 28 0 24 672 Simon Bowly generated -9476.155197 general_linear

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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