Tempelmeier, Horst, Kirste, Michael and Hilger, Timo (2018). Linear programming models for a stochastic dynamic capacitated lot sizing problem (vol 59, pg 119, 2015). Comput. Oper. Res., 91. S. 258 - 260. OXFORD: PERGAMON-ELSEVIER SCIENCE LTD. ISSN 1873-765X

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Abstract

In [H. Tempelmeier, T. Hilger, Linear programming models for a stochastic dynamic capacitated lot sizing problem, Computers & Operations Research 59 (2015) 119-125.] we proposed a piece-wise linear approximation of the stochastic capacitated dynamic lot sizing problem under a cyclic beta fill rate constraint. The proposed models contain an error in the approximation of the backorder function, which has been corrected by van Pelt and Fransoo (2016) using standard MIP modeling techniques with the help of additional binary variables. The results of the numerical experiment published in the original paper are no longer valid due to the increased complexity of the corrected model. In this erratum, we reproduce the numerical experiment with the corrected model formulation. In addition, we modify the service level constraint such that solutions with an over-achievement of the target service level are now explicitly allowed. The results observed show that the revised model solved with the Fix&Optimize heuristic provides significantly better solutions than the column generation heuristic particularly for problems with a small number of products, many periods, and high capacity utilizations.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Tempelmeier, HorstUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Kirste, MichaelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Hilger, TimoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-195403
DOI: 10.1016/j.cor.2017.11.010
Journal or Publication Title: Comput. Oper. Res.
Volume: 91
Page Range: S. 258 - 260
Date: 2018
Publisher: PERGAMON-ELSEVIER SCIENCE LTD
Place of Publication: OXFORD
ISSN: 1873-765X
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Computer Science, Interdisciplinary Applications; Engineering, Industrial; Operations Research & Management ScienceMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19540

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