Submitter Variables Constraints Density Status Group Objective MPS File
A. Miller 792 1307 3.81879e-03 hard 184202.75 bg512142.mps.gz

Multilevel lot-sizing instance.

Imported from MIPLIB2010. Three restarted runs of ParaCPLEX using CPLEX 12.5 solved this instance on a cluster in approximately 490 hours.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 792 779
Constraints 1307 920
Binaries 240 230
Integers 0 0
Continuous 552 549
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00381879 0.00490316
Nonzeroes 3953 3514
Constraint Classification Properties
Original Presolved
Total 1307 920
Empty 0 0
Free 0 0
Singleton 372 0
Aggregations 4 4
Precedence 0 10
Variable Bound 274 262
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 657 644
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 1.724276
Constraint % 0.108696 1.20192 0.108696 21.8478
Variable % 0.253485 1.53310 0.253485 25.4753
Score 0.512987

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 185683.5 185683.5 8.1e-06 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to bg512142 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
dg012142 2080 640 0 1440 6310 14795 A. Miller hard 2300867.00
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
exp-1-500-5-5 990 250 0 740 550 1980 MIPLIB submission pool exp_and_fc easy 65887.00
a1c1s1 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 easy 11503.44

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