Submitter Variables Constraints Density Status Group Objective MPS File
Simon Bowly 30 27 6.5679e-01 easy generated 6840.96564179 gen-ip054.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 30 30
Constraints 27 27
Binaries 0 0
Integers 30 30
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.65679 0.65679
Nonzeroes 532 532
Constraint Classification Properties
Original Presolved
Total 27 27
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 1 1
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 26 26
Indicator 0 0

Structure

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

value min median mean max
Components 0.4771212
Constraint % 3.70370 5.55556 5.55556 7.40741
Variable % 6.66667 31.66670 31.66670 56.66670
Score 0.0666670

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 6840.966 6840.966 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gen-ip054 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-ip021 35 0 35 0 28 945 Simon Bowly generated easy 2361.45419519
tokyometro 4537 2496 2041 0 7719 26958 Hsiang-Yun WU open 8471.9*
timtab1CUTS 397 77 94 226 371 1742 C. Liebchen, R. Möhring timtab easy 764772
neos16 377 336 41 0 1018 2801 NEOS Server Submission neos-pseudoapplication-90 easy 446
neos-3046615-murg 274 240 16 18 498 1266 Jeff Linderoth neos-pseudoapplication-90 easy 1600

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
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