Submitter Variables Constraints Density Status Group Objective MPS File
Simon Bowly 35 28 9.64286e-01 easy generated 2361.45419519 gen-ip021.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 35 35
Constraints 28 28
Binaries 0 0
Integers 35 35
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.964286 0.964286
Nonzeroes 945 945
Constraint Classification Properties
Original Presolved
Total 28 28
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 28 28
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 % 3.57143 3.57143 3.57143 3.57143
Variable % 65.71430 65.71430 65.71430 65.71430
Score 0.012245

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 2361.454 2361.454 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip021 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-ip054 30 0 30 0 27 532 Simon Bowly generated easy 6840.966
gen-ip002 41 0 41 0 24 922 Simon Bowly generated easy -4783.733
nh97_potential 1180 630 328 222 1916 5748 MIPLIB submission pool easy 1418.000
enlight_hard 200 100 100 0 100 560 A. Zymolka enlight easy 37.000
gen-ip036 29 0 29 0 46 1303 Simon Bowly generated easy -4606.680

Reference

No bibliographic information available

Last Update Nov 17, 2018 by Gregor Hendel
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