Submitter Variables Constraints Density Status Group Objective MPS File
M. Vyve, Y. Pochet 3648 3312 8.42398e-04 easy c1s1 11503.444125 a1c1s1.mps.gz

Lot sizing instance. Alkis Vazacopoulos reports solving this instance using XPRESS 2006B.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 3648 3648
Constraints 3312 3312
Binaries 192 192
Integers 0 0
Continuous 3456 3456
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000842398 0.000842398
Nonzeroes 10178 10178
Constraint Classification Properties
Original Presolved
Total 3312 3312
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 6 6
Precedence 0 0
Variable Bound 1968 1968
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 1338 1338
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 1.792392
Constraint % 0.0301932 1.10478 1.47947 16.2138
Variable % 0.3289470 1.15401 1.34320 14.8849
Score 0.642879

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 11503.44 997.5296 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to a1c1s1 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
a2c1s1 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 easy 10889.14
b1c1s1 3872 288 0 3584 3904 11408 M. Vyve, Y. Pochet c1s1 hard 24544.25
b2c1s1 3872 288 0 3584 3904 11408 M. Vyve, Y. Pochet c1s1 hard 25687.90
unitcal_7 25755 2856 0 22899 48939 127595 R. O’Neill easy 19635558.24
exp-1-500-5-5 990 250 0 740 550 1980 MIPLIB submission pool exp_and_fc easy 65887.00

Reference

@article{FischettiLodi2003,
 author = {Fischetti, Matteo and Lodi, Andrea},
 issn = {0025-5610},
 issue = {1},
 journal = {Mathematical Programming},
 keyword = {Mathematics and Statistics},
 pages = {23-47},
 publisher = {Springer},
 title = {Local branching},
 volume = {98},
 year = {2003}
}

@article{PochetVyve2004,
 author = {Y. Pochet and M. Van Vyve},
 instance = {a1c1s1,tr12-30},
 journal = {INFORMS Journal on Computing},
 language = {English},
 number = {3},
 title = {A General Heuristic for Production Planning Problems},
 volume = {16},
 year = {2004}
}

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