set3-16

precedence variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Kerem Akartunali 4019 3747 9.12864e-04 open set3 143789.261502* set3-16.mps.gz

This is joint work with Andrew J. Miller, Universite de Bordeaux 1; RealOpt, INRIA Bordeaux Sud-Ouest, France. Andrew.Miller@math.u-bordeaux1.fr. These are five hard instances chosen from our library MULTILSB (Multi-item Lot-Sizing with Backlogging), which is fully available at (incl. documentation and mosel file):http://personal.strath.ac.uk/kerem.akartunali/research/multi-lsb/ For these 5 instances, gaps remain in the range of >50% after 30 min. (using latest version of FICO on a laptop with i7 processor and 4GB RAM): (first two columns indicate the 30 min-runs, and the last column indicates the best solutions we know at the moment). Computational results for these instances as well as for others of MULTILSB can be found on the website.

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4019 3347
Constraints 3747 3405
Binaries 1424 752
Integers 0 0
Continuous 2595 2595
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000912864 0.001090950
Nonzeroes 13747 12433
Constraint Classification Properties
Original Presolved
Total 3747 3405
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 576 906
Variable Bound 654 612
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 2517 1887
General Linear 0 0
Indicator 0 0

Structure

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

value min median mean max
Components 1.230449
Constraint % 0.0293686 4.06938 3.96476 9.57416
Variable % 0.0746454 3.23619 3.11023 8.16123
Score 0.626024

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 143789.3 143789.3 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to set3-16 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
set3-09 open 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 187000.75363* precedence variable_bound mixed_binary
set3-15 hard 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 124886 precedence variable_bound mixed_binary
set3-20 hard 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 159462.572721458 precedence variable_bound mixed_binary
set3-10 hard 4019 1424 0 2595 3747 13747 Kerem Akartunali set3 185179.043049708 precedence variable_bound mixed_binary
neos-5041822-cockle open 227668 149313 0 78355 546733 1362470 Jeff Linderoth neos-pseudoapplication-25 5728105.52906* aggregations precedence variable_bound set_packing mixed_binary

Reference

No bibliographic information available

Last Update Nov 22, 2019 by Gregor Hendel
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