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The multi-item Capacitated Lot-Sizing Problem (CLSP) has been widely studied in the literature due to its relevance to practice, such as its application in constructing a master production schedule. The problem becomes more realistic with the incorporation of setup times since they may use up significant amounts of the available resource capacity. In this paper, we present a proof to show the linear...
. Fleischmann and Meyr (1997) develop a model for the lot sizing problem with sequence dependent setup costs. In this note we show that this model is limited to the case where production state between two consecutive periods is conserved only if the available capacity of the preceding period exceeds the minimum batch quantity. We generalize the model by modification.
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