Submitter Variables Constraints Density Status Group Objective MPS File
Simon Bowly 29 46 9.76762e-01 easy generated -4606.67961 gen-ip036.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 29 29
Constraints 46 46
Binaries 0 0
Integers 29 29
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.976762 0.976762
Nonzeroes 1303 1303
Constraint Classification Properties
Original Presolved
Total 46 46
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 46 46
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 % 2.17391 2.17391 2.17391 2.17391
Variable % 62.06900 62.06900 62.06900 62.06900
Score 0.008246

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 -4606.68 -4606.68 0 0 2e-07 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip036 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
gen-ip016 28 0 28 0 24 672 Simon Bowly generated open -9473.61486112*
supportcase39 1025 0 1024 1 16384 398774 Domenico Salvagnin open -1085069.602859*
gen-ip002 41 0 41 0 24 922 Simon Bowly generated easy -4783.733392
mik-250-20-75-2 270 75 175 20 195 9270 MIPLIB submission pool mik_250 easy -50768
mik-250-20-75-3 270 75 175 20 195 9270 MIPLIB submission pool mik_250 easy -52242

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint