The StockingCost Constraint

@inproceedings{Houndji2014TheSC,
  title={The StockingCost Constraint},
  author={Vinas{\'e}tan Ratheil Houndji and Pierre Schaus and Laurence A. Wolsey and Yves Deville},
  booktitle={CP},
  year={2014}
}
Many production planning problems call for the minimiza- tion of stocking/storage costs. This paper introduces a new global con- straint StockingCost([X1,...,Xn],[d1,...,dn],H,c) that holds when each item Xi is produced on or before its due date di, the capacity c of the machine is respected, and H is an upper bound on the stocking cost. We propose a linear time algorithm to achieve bound consistency on the StockingCost constraint. On a version of the Discrete Lot Sizing Problem, we demonstrate… 

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