van Eijs, M. J. G. A note on the joint replenishment problem under constant demand. (English) Zbl 0778.90007 J. Oper. Res. Soc. 44, No. 2, 185-191 (1993). Summary: This note considers the joint replenishment inventory problem for \(N\) items under constant demand. The frequently-used cyclic strategy \((T;k_ 1,\dots,k_ N)\) is investigated: a family replenishment is made every \(T\) time units and item \(i\) is included in each \(k_ i\)-th replenishment. S. K. Goyal [Manage. Sci. 21, 436-443 (1974)] proposed a solution to find the global optimum within the class of cyclic strategies. However, we will show that the algorithm of Goyal does not always lead to the optimal cyclic strategy. A simple correction is suggested. Cited in 23 Documents MSC: 90B05 Inventory, storage, reservoirs Keywords:joint replenishment inventory; constant demand; cyclic strategies PDFBibTeX XMLCite \textit{M. J. G. van Eijs}, J. Oper. Res. Soc. 44, No. 2, 185--191 (1993; Zbl 0778.90007) Full Text: DOI