In a recent paper Gutierrez et al. (2008) show that the lot-sizing problem with inventory bounds can be solved in O(T log T) time. In this note we show that their algorithm does not lead to an optimal solution in general.

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Publisher Erasmus School of Economics (ESE)
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van den Heuvel, W, Gutierrez, J.M, & Hwang, H.C. (2011). Note on "An efficient approach for solving the lot-sizing problem with time-varying storage capacities" (No. EI 2011-39). Report / Econometric Institute, Erasmus University Rotterdam (pp. 1–9). Erasmus School of Economics (ESE). Retrieved from