A generalized measure of bullwhip effect in supply chain with ARMA demand process under various replenishment policies

The measure of bullwhip effect (BWE) has always been a challenging task to the researchers. BWE is one of the main performance measures for a supply chain. In the existing literature, the measurement of BWE has been performed based on the simple demand processes such as Moving Average, AR(1) (AutoRegression), AR(2), Exponential Smoothing and ARMA(1,1) (AutoRegressive Moving Average). In this paper, we have derived generalized expressions of BWE based on the generalized ARMA (p,q) demand process under the various replenishment policies. The expressions have been compared both algebraically and numerically in order to find out the appropriate replenishment policy that leads to minimum valued expression for BWE.

[1]  R. J. Henery,et al.  Inventory Replenishment Policy for Increasing Demand , 1979 .

[2]  Abdul Raouf,et al.  Inventory Models Involving Lead Time as a Decision Variable , 1994 .

[3]  Richard A. Davis,et al.  Introduction to time series and forecasting , 1998 .

[4]  Suresh Kumar Goyal,et al.  The Trended Inventory Lot Sizing Problem with Shortages Under a New Replenishment Policy , 1996 .

[5]  Hau L. Lee,et al.  Information distortion in a supply chain: the bullwhip effect , 1997 .

[6]  Carlos B. Cerdaramirez,et al.  Evaluation of a (R,s,Q,c) multi-item inventory replenishment policy through simulation , 1997 .

[7]  Frank Y. Chen,et al.  Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information.: The Impact of Forecasting, Lead Times, and Information. , 2000 .

[8]  D. Simchi-Levi,et al.  The impact of exponential smoothing forecasts on the bullwhip effect , 2000 .

[9]  Y. Feng,et al.  Computing the Optimal Replenishment Policy for Inventory Systems with Random Discount Opportunities , 2001, Oper. Res..

[10]  Philip Melchiors,et al.  Calculating can-order policies for the joint replenishment problem by the compensation approach , 2002, Eur. J. Oper. Res..

[11]  Siwook Ryu,et al.  A stochastic inventory model of dual sourced supply chain with lead-time reduction , 2003 .

[12]  Xiaolong Zhang.  The impact of forecasting methods on the bullwhip effect , 2004 .

[13]  Christina Nielsen,et al.  An analytical study of the Q , 2005, Eur. J. Oper. Res..

[14]  W. M. Chan,et al.  Joint replenishment policy in inventory-production systems , 2005 .

[15]  Loo Hay Lee,et al.  Production , Manufacturing and Logistics A dynamic joint replenishment policy with auto-correlated demand , 2005 .

[16]  Stephen Michael Disney,et al.  State space investigation of the bullwhip problem with ARMA(1,1) demand processes , 2006 .

[17]  Terry P. Harrison,et al.  Quantifying the bullwhip effect in a supply chain with stochastic lead time , 2006, Eur. J. Oper. Res..

[18]  Huynh Trung Luong,et al.  Measure of bullwhip effect in supply chains with autoregressive demand process , 2007, Eur. J. Oper. Res..

[19]  S. Kara,et al.  A simulation model of bullwhip effect in a multi-stage supply chain , 2007, 2007 IEEE International Conference on Industrial Engineering and Engineering Management.

[20]  Habib Chabchoub,et al.  Nonlinear goal programming models quantifying the bullwhip effect in supply chain based on ARIMA parameters , 2007, Eur. J. Oper. Res..

[21]  Huynh Trung Luong,et al.  Measure of bullwhip effect in supply chains: The case of high order autoregressive demand process , 2007, Eur. J. Oper. Res..

[22]  Marko Jaksic,et al.  The effect of replenishment policies on the bullwhip effect: A transfer function approach , 2008, Eur. J. Oper. Res..

[23]  A model to quantify the Bullwhip Effect in systems with stochastic demand and lead time , 2008, 2008 IEEE International Conference on Industrial Engineering and Engineering Management.

[24]  Lizhen Huang,et al.  Supply Chain Dynamics Under the Sustainable Development , 2008, 2008 4th International Conference on Wireless Communications, Networking and Mobile Computing.

[25]  H. T. Luong,et al.  A measure of the bullwhip effect in supply chains with stochastic lead time , 2008 .

[26]  Yeong-Dae Kim,et al.  A measure of bullwhip effect in supply chains with a mixed autoregressive-moving average demand process , 2008, Eur. J. Oper. Res..

[27]  Hong Chen,et al.  Joint replenishment and pricing decisions in inventory systems with stochastically dependent supply capacity , 2008, Eur. J. Oper. Res..

[28]  Chuanxu Wang,et al.  Quantitative Analysis on the Bullwhip Effect in a Supply Chain Using Double Moving Average and Double Exponential Smoothing Forecasts , 2008, 2008 International Symposiums on Information Processing.

[29]  Jafar Heydari,et al.  A study of lead time variation impact on supply chain performance , 2009 .

[30]  Gp Gudrun Kiesmüller.  A multi-item periodic replenishment policy with full truckloads , 2009 .

[31]  Yang Wen,et al.  The Optimal Replenishment Policies under VMI System with Multi-retailer and Multi-period Random Demand , 2009, 2009 International Conference on Information Management, Innovation Management and Industrial Engineering.

[32]  Eric Sucky,et al.  The bullwhip effect in supply chains—An overestimated problem? , 2009 .

[33]  Osman Alp,et al.  A joint replenishment policy with individual control and constant size orders , 2010 .

[34]  H. T. Lee.  Statistical Inventory Management in Two-Echelon, Multiple-Retailer Supply Chain Systems , 2010 .

[35]  Roberto Rossi,et al.  Computing the non-stationary replenishment cycle inventory policy under stochastic supplier lead-times , 2010 .

[36]  Roberto Rossi,et al.  A state space augmentation algorithm for the replenishment cycle inventory policy , 2011 .

[37]  Susmita Bandyopadhyay,et al.  A review of the causes of bullwhip effect in a supply chain , 2011 .

[38]  Hau L. Lee,et al.  The bullwhip effect in supply chains , 2015, IEEE Engineering Management Review.