@conference{Wang2015, author = {X. Wang and S.M. Disney}, title = {Reducing order and inventory variability under stochastic lead-time and correlated demand}, booktitle = {Proceedings of the 6th International Conference on Industrial Engineering and Systems Management}, year = {2015}, pages = {312–321}, address = {Seville, Spain}, month = {21st–23rd October}, isbn = {978-2-9600532-6-5}, url = {https://www.researchgate.net/publication/304291404_Reducing_order_and_inventory_variability_under_stochastic_lead-time_and_correlated_demand}, abstract = {Logistic volatility is considered to be an important contributor to supply chain inefficiency. In this paper we investigate the amplification of order and inventory fluctuations in a state-space model with stochastic lead time, ARMA(p, q) demand and a proportional order-up-to policy. We derive the exact distribution functions for order and inventory. For i.i.d. Gaussian demand, we prove that the proportional outperforms the classical order-up-to policy in reducing inventory and order variances simultaneously. Numerical experiments are carried out to show the complex interaction between demand correlation and stochastic lead-time.} }