By Florian Seeanner
Due to a various product call for (changing product combine) and assorted creation speeds, bottlenecks could shift among the phases. if that's the case, a simultaneous lot-sizing and scheduling of those phases is recommendable. for this reason, a stronger model of the overall Lot-Sizing and Scheduling challenge for a number of construction phases (GLSPMS) used to be built. furthermore, a number of reformulation strategies have been utilized to this version to resolve it precisely. along with, a brand new meta-heuristic which mixes the foundations of Variable local Decomposition seek (VNDS) and alternate used to be applied to discover stable strategies, even for a real-world challenge case. eventually, extra version extensions, e.g., for scarce setup assets, have been proposed.
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Extra info for Multi-Stage Simultaneous Lot-Sizing and Scheduling: Planning of Flow Lines with Shifting Bottlenecks
These state changes result from the external and from the internal dynamics of the system. They may occur continuously or at discrete events (cf. Pressmar, 1980). External dynamics are “perturbations” from outside which cannot be inﬂuenced by the decision maker (anymore). They ensue from the strong connection to the system environment and lead to exogenous state changes (cf. Meyr, 1999, pp. 49). 4 In contrast, internal dynamics come from the decisions by the planner. These endogenous state changes are expressed by the system variables.
15 As illustrated in the previous section, the consumer packaged goods supply chain has many special properties, which have a strong impact on 15 Note that this is one of the reasons why planning concepts such as MRP or MRP-II are not able to properly support all kinds of industries and their resulting problems. 22 Chapter 2. Production planning in the consumer packaged goods industry the planning tasks and on their coordination, especially in the mid- and short-term horizon (cf. , 1994). One possible way to consider the interdependencies between the planning tasks of the consumer packaged goods industry appropriately is proposed by Fleischmann et al.
But sometimes they are also of diﬀerent lengths (days, weeks, or even months). 3. This might be useful because forecasts become imprecise the more one looks ahead. g. g. g. 3: Diﬀerent lengths of time buckets. Since such discrete models are solvable as MIPs, the focus lies on this kind of models in the remainder of this thesis. Due to the scheduling part and the synchronization between the production stages, many challenging issues arise. They are illustrated in the following by some well-known single-level lot-sizing and scheduling models which are at the same time the starting point for the majority of multi-level models.