A Note on the Joint Replenishment Problem under Constant Demand

M.J.G. van Eijs

88 citations0/0 files storedJournal of the Operational Research Society

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Scheduling and Optimization Algorithms

Abstract

This note considers the joint replenishment inventory problem for N items under constant demand. The frequently-used cyclic strategy (T; k1, …, kN) is investigated: a family replenishment is made every T time units and item i is included in each ki th replenishment. Goyal 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.

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References

1974Determination of Optimum Packaging Frequency of Items Jointly Replenished 1989Joint replenishment inventory control: Deterministic and stochastic models 1988Multi‐Item Inventory Models with Co‐ordinated Replenishments: A Survey

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