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dc.contributor.authorHelber, Stefanen_US
dc.contributor.authorSahling, Florianen_US
dc.contributor.authorSchimmelpfeng, Katjaen_US
dc.date.accessioned2011-04-01en_US
dc.date.accessioned2012-11-06T15:27:19Z-
dc.date.available2012-11-06T15:27:19Z-
dc.date.issued2011en_US
dc.identifier.urihttp://hdl.handle.net/10419/66019-
dc.description.abstractWe present a stochastic version of the single-level, multi-product dynamic lotsizing problem subject to a capacity constraint. A production schedule has to be determined for random demand so that expected costs are minimized and a constraint based on a new backlog-oriented -service-level measure is met. This leads to a non-linear model that is approximated by two different linear models. In the first approximation, a scenario approach based on random samples is used. In the second approximation model, the expected values of physical inventory and backlog as functions of the cumulated production are approximated by piecewise linear functions. Both models can be solved to determine efficient, robust and stable production schedules in the presence of uncertain and dynamic demand. They lead to dynamic safety stocks that are endogenously coordinated with the production quantities. A numerical analysis based on a set of (artificial) problem instances is used to evaluate the relative performance of the two different approximation approaches. We furthermore show under which conditions precise demand forecasts are particularly useful from a production-scheduling perspective.en_US
dc.language.isoengen_US
dc.publisherWirtschaftswiss. Fak., Leibniz Univ. Hannoveren_US
dc.relation.ispartofseriesDiscussion Paper, Wirtschaftswissenschaftliche Fakultät, Leibniz Universität Hannover 465en_US
dc.subject.jelC61en_US
dc.subject.ddc330en_US
dc.subject.stwFertigungssteuerungen_US
dc.subject.stwLosgrößeen_US
dc.subject.stwProduktionskapazitäten_US
dc.subject.stwLageren_US
dc.subject.stwTheorieen_US
dc.titleDynamic capacitated lot sizing with random demand and dynamic safety stocksen_US
dc.typeWorking Paperen_US
dc.identifier.ppn655205950en_US
dc.rightshttp://www.econstor.eu/dspace/Nutzungsbedingungenen_US
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