Submitter Variables Constraints Density Status Group Objective MPS File
Dinakar Gade, Simge Kucukyavuz 2985 1920 1.14548e-03 easy 1480195 lotsize.mps.gz

Multi-item lot sizing with service level constraints

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2985 2985
Constraints 1920 1920
Binaries 1195 1195
Integers 0 0
Continuous 1790 1790
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00114548 0.00114548
Nonzeroes 6565 6565
Constraint Classification Properties
Original Presolved
Total 1920 1920
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 1195 1195
Set Partitioning 0 0
Set Packing 120 120
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 5 5
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 600 600
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 0.7781512
Constraint % 18.75 18.75 18.75 18.75
Variable % 20.00 20.00 20.00 20.00
Score 0.7500000

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 1480195 1480195 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to lotsize 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
mtest4ma 1950 975 0 975 1174 4875 MIPLIB submission pool easy 52148
beavma 390 195 0 195 372 975 MIPLIB submission pool easy 383285
neos-3072252-nete 576 144 0 432 432 1292 Jeff Linderoth neos-pseudoapplication-50 easy 11807698
sp150x300d 600 300 0 300 450 1200 MIPLIB submission pool sp_product easy 69
neos-4290317-perth 54708 1042 0 53666 65580 398380 Jeff Linderoth neos-pseudoapplication-76 open 3017386.0041*

Reference

@techreport{GadeKucukyavuz2010,
 author = {D. Gade and S. K{\"u}{\c{c}}{\"u}kyavuz},
 institution = {Optimization Online},
 number = {http://www.optimization-online.org/DB_HTML/2010/12/2844.html},
 title = {Deterministic lot sizing with Service Levels},
 year = {2010}
}

Last Update Nov 19, 2018 by Gregor Hendel
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