The full text of this article


Controlling bullwhip and inventory variability with the golden smoothing rule
by Stephen M. Disney, Ingrid Farasyn, Marc R. Lambrecht, Denis R. Towill, Wim Van De Velde
European J. of Industrial Engineering (EJIE), Vol. 1, No. 3, 2007


Abstract: A major cause of supply chain deficiencies is the bullwhip effect. Supply chain managers experience this variance amplification in both inventory levels and replenishment orders. In this paper, we analyse a major cause of the bullwhip effect, namely the classical Order-Up-To (OUT) policy and suggest a remedy (a smoothing replenishment rule). In general, dampening variability in orders may have a negative impact on customer service due to increase in inventory variance. We quantify the variance of the Net Stock (NS) levels and compute the required safety stock as a function of the smoothing required. The contribution of this paper is the analysis of the tradeoff between bullwhip and inventory variance resulting in a 'golden smoothing rule'. The golden smoothing rule refers to the fact that the values of two proportional feedback controllers are set equal to the Golden Ratio. [Received 5 September 2006; Revised 22 January 2007; Accepted 13 March 2007]

Online publication date: Wed, 25-Jul-2007


is only available to individual subscribers or to users at subscribing institutions.

Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the European J. of Industrial Engineering (EJIE):
Login with your Inderscience username and password:


    Username:        Password:         

Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email