Submitter Variables Constraints Density Status Group Objective MPS File
A. Miller 2080 6310 1.12726e-03 hard 2300867 dg012142.mps.gz

Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (http://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2080 1964
Constraints 6310 2045
Binaries 640 600
Integers 0 0
Continuous 1440 1364
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00112726 0.00255379
Nonzeroes 14795 10257
Constraint Classification Properties
Original Presolved
Total 6310 2045
Empty 0 0
Free 0 0
Singleton 4213 0
Aggregations 6 6
Precedence 0 33
Variable Bound 701 661
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 1390 1345
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 2.634477
Constraint % 0.0488998 0.113152 0.0488998 7.82396
Variable % 0.0998004 0.164206 0.0998004 7.58483
Score 0.473154

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
2 1 2300867 2300867 0 0 0e+00 - 2018-10-13 Solution found during MIPLIB2017 problem selection.
1 2 2311267 2311267 0 0 1e-07 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dg012142 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
bg512142 792 240 0 552 1307 3953 A. Miller hard 184202.75
tr12-30 1080 360 0 720 750 2508 MIPLIB submission pool easy 130596.00
neos-3754480-nidda 253 50 0 203 402 1488 Jeff Linderoth neos-pseudoapplication-107 hard 12941.69
a1c1s1 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 easy 11503.44
a2c1s1 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 easy 10889.14

Reference

@article{AkartunaliMiller2009,
 author = {Akartunal{\i}, K. and A. J. Miller},
 journal = {European Journal of Operational Research},
 pages = {396-411},
 title = {A Heuristic Approach for Big Bucket Multi-Level Production Planning
Problems},
 volume = {193},
 year = {2009}
}

@article{FischettiGloverLodi2005,
 author = {M. Fischetti and F. Glover and A. Lodi},
 journal = {Mathematical Programming},
 pages = {91--104},
 title = {The feasibility pump},
 volume = {104},
 year = {2005}
}

@article{Stadtler2003,
 author = {Stadtler, Hartmut},
 journal = {Operations Research},
 number = {3},
 pages = {487-502},
 title = {Multilevel Lot Sizing with Setup Times and Multiple Constrained Resources: Internally Rolling Schedules with Lot-Sizing Windows},
 volume = {51},
 year = {2003}
}

Last Update Nov 09, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint