摘要：We study the relationship between lead times and the bullwhip effect produced by the order-up-to policy Theusualconclusion in the literature is that longer lead-time increase the bullwhip effect, we show that this is not always the case. Indeed, it seems to be rather rare. We achieve this by first showing that a positive demand impulse response leads to a bullwhip effect that isalways increasing in the lead timewhen the order-up-to policy is used to make supply chain inventory replenishment decisions. By using the zeros and poles of the z-transform of the demand process, we reveal when this demand impulse is positive. To make concrete our approach in a nontrivial example we study the ARMA(2,2) demand process.
关键词：KeywordsBullwhip effectLead timesOrder-up-to policyAuto-regressive moving average demand processMinimum mean squared error forecasting
