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- W2109416017 abstract "Here we study the discrete lot-sizing problem with an initial stock variable and an associated variable upper bound constraint. This problem is of interest in its own right, and is also a natural relaxation of the constant capacity lot-sizing problem with upper bounds and fixed charges on the stock variables. We show that the convex hull of solutions of the discrete lot-sizing problem is obtained as the intersection of two simpler sets, one a pure integer set and the other a mixing set with a variable upper bound constraint. For these two sets we derive both inequality descriptions and polynomial-size extended formulations of their respective convex hulls. Finally we carry out some limited computational tests on single-item constant capacity lot-sizing problems with upper bounds and fixed charges on the stock variables in which we use the extended formulations derived above to strengthen the initial mixed-integer programming formulations." @default.
- W2109416017 created "2016-06-24" @default.
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- W2109416017 date "2010-01-01" @default.
- W2109416017 modified "2023-09-25" @default.
- W2109416017 title "Lot-Sizing with Stock Upper Bounds and Fixed Charges" @default.
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- W2109416017 doi "https://doi.org/10.1137/090751451" @default.
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