This contribution acquaints the reader with a model for multilevel single-machine proportional lot sizing and scheduling problems (PLSPs) that appear in the scope of short-term production planning. It is one of the first articles that deals with dynamic capacitated multilevel lot sizing and scheduli
Proportional lot sizing and scheduling: Some extensions
β Scribed by Kimms, A.; Drexl, A.
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 175 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0028-3045
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β¦ Synopsis
This contribution generalizes the work of Drexl and Haase about the so-called proportional lot sizing and scheduling problem which was published in 1995. While the early paper considered singlelevel cases only, the paper at hand describes multilevel problems, i.e., items are interconnected via a directed network of acyclic precedence constraints. It provides mixed-integer programs for several important extensions which differ in the allocation of resources. A generic solution method is presented, and following the preceding paper, a randomized regret-based sampling method is tested. A computational study proves that, even for the multilevel case which is far more complex than the single-level problem, promising results are obtained.
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