@conference{Disney2006, author = {S.M. Disney and P. McCullen and R.J. Saw}, title = {Dynamic supply chain design: square root law for Bullwhip}, booktitle = {Proceedings of the International Symposium on Logistics}, year = {2006}, pages = {8 pages}, address = {Beijing, China}, month = {19th-12th July}, url = {https://www.researchgate.net/publication/305319221_Dynamic_supply_chain_design_Square_root_law_for_bullwhip}, abstract = {We present a methodology to dynamically design supply chain networks taking into account both inventory and capacity (bullwhip) related costs. We assume i.i.d. demand and the " order-up-to " policy is used to place replenishment orders with a lead-time of one period. Our methodology is complete, analytical and exact. We illustrate its application via a " toy " numerical example that seems to suggest that a 'square root law for bullwhip costs' exists. We provide a sketch of a proof that shows this is indeed the case.}}