The impact of consumer price forecasting behaviour on the bullwhip effect

As prices fluctuate over time, a strategic consumer may buy more in advance to reduce his or her future needs in anticipation of higher prices in the future, or may choose to postpone a purchase in anticipation of lower prices in the future. We investigate the bullwhip effect from a consumer price forecasting behavioural perspective in the context of a simple two-level supply chain composed of a supplier and a retailer. We consider two different forms for the demand function – linear and iso-elastic demand functions, both depending on the prices in multiple periods. Assuming that the retailer employs an order-up-to inventory policy with exponential smoothing forecasting technology, we derive analytical expressions for the bullwhip effect under the two demand functions, and extend the results to the multiple-retailer case. We find that consumer forecasting behaviour can reduce the bullwhip effect, most significantly when the consumer sensitivity to price changes is medium (approximately 0.5) for both the demand forms. In addition, for iso-elastic demand, the mitigation of the bullwhip effect induced by consumer price forecasting behaviour becomes more significant as the product price sensitivity coefficient and standard deviation of the price decrease. These findings are applicable to the development of managerial strategies by supply chain members that are conducive to bullwhip effect reduction through customer behaviour.

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

[2]  Li Chen,et al.  Bullwhip Effect Measurement and Its Implications , 2012, Oper. Res..

[3]  David Et.All. Simchi-Levi Designing and managing the supply chain: consepts, strategies and case , 2014 .

[4]  Nallan C. Suresh,et al.  The impact of pricing policy on sales variability in a supermarket retail context , 2008 .

[5]  Z. Shen,et al.  Customer Behavior Modeling in Revenue Management and Auctions: A Review and New Research Opportunities , 2007 .

[6]  Taylor Randall,et al.  In Search of the Bullwhip Effect , 2007, Manuf. Serv. Oper. Manag..

[7]  Vineet Padmanabhan,et al.  Comments on "Information Distortion in a Supply Chain: The Bullwhip Effect" , 1997, Manag. Sci..

[8]  Christopher S. Tang,et al.  Consumer-Driven Demand and Operations Management Models , 2009 .

[9]  Ioana Popescu,et al.  Dynamic Pricing Strategies with Reference Effects , 2007, Oper. Res..

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

[11]  Kenneth Gilbert,et al.  An ARIMA Supply Chain Model , 2005, Manag. Sci..

[12]  Stephen M. Disney,et al.  Measuring and avoiding the bullwhip effect: A control theoretic approach , 2003, Eur. J. Oper. Res..

[13]  L. LeeHau,et al.  Information Distortion in a Supply Chain , 1997 .

[14]  J. M. Hsiao,et al.  Evaluating the value of information sharing in a supply chain using an ARIMA model , 2006 .

[15]  Shu Jen Wang,et al.  Incorporating ARIMA forecasting and service-level based replenishment in RFID-enabled supply chain , 2010 .

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

[17]  Stephen C. Graves,et al.  A Single-Item Inventory Model for a Nonstationary Demand Process , 1999, Manuf. Serv. Oper. Manag..

[18]  Alex Coad On the distribution of product price and quality , 2009 .

[19]  Gérard P. Cachon,et al.  Managing Supply Chain Demand Variability with Scheduled Ordering Policies , 1999 .

[20]  Yossi Aviv,et al.  Optimal Pricing of Seasonal Products in the Presence of Forward-Looking Consumers , 2008, Manuf. Serv. Oper. Manag..

[21]  Xiaolong Zhang,et al.  Analysis of compound bullwhip effect causes , 2011, Eur. J. Oper. Res..

[22]  Ada Che,et al.  The bullwhip effect under different information-sharing settings: a perspective on price-sensitive demand that incorporates price dynamics , 2013 .

[23]  Chu‐Hua Kuei,et al.  Designing and Managing the Supply Chain Concepts, Strategies, and Case Studies , 2000 .

[24]  Christopher S. Tang,et al.  The Value of Information Sharing in a Two-Level Supply Chain , 2000 .

[25]  Gérard P. Cachon Supply Chain Coordination with Contracts , 2003, Supply Chain Management.

[26]  Yong-Pin Zhou,et al.  Strategic Consumer Response to Dynamic Pricing of Perishable Products , 2006 .

[27]  Layth C. Alwan,et al.  Stochastic characterization of upstream demand processes in a supply chain , 2003 .

[28]  Stephen Michael Disney,et al.  A delayed demand supply chain: Incentives for upstream players , 2012 .

[29]  Ying Rong Studying the impact of supply uncertainty on multi-echelon supply chains , 2008 .

[30]  Hau L. Lee,et al.  Information sharing in a supply chain , 2000, Int. J. Manuf. Technol. Manag..

[31]  D. Sterman,et al.  Misperceptions of Feedback in a Dynamic Decision Making Experiment , 1989 .

[32]  J. Forrester Industrial Dynamics: A Major Breakthrough for Decision Makers , 2012 .

[33]  Sunil Agrawal,et al.  Impact of information sharing and lead time on bullwhip effect and on-hand inventory , 2009, Eur. J. Oper. Res..

[34]  Paul Zipkin Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies , 1995 .

[35]  Oren Etzioni,et al.  To buy or not to buy: mining airfare data to minimize ticket purchase price , 2003, KDD '03.

[36]  Tek Tjing Lie,et al.  Management of price uncertainty in short-term generation planning , 2008 .

[37]  M. Khouja Optimal ordering, discounting, and pricing in the single-period problem , 2000 .

[38]  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..

[39]  W. Stahel,et al.  Log-normal Distributions across the Sciences: Keys and Clues , 2001 .

[40]  Haim Mendelson,et al.  Information Transmission and the Bullwhip Effect: An Empirical Investigation , 2012, Manag. Sci..

[41]  Yungao Ma,et al.  The bullwhip effect on product orders and inventory: a perspective of demand forecasting techniques , 2013 .

[42]  Christopher S. Tang,et al.  Rational Shopping Behavior and the Option Value of Variable Pricing , 1998 .

[43]  P. Kopalle,et al.  Asymmetric Reference Price Effects and Dynamic Pricing Policies , 1996 .

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

[45]  S. Disney,et al.  On the bullwhip and inventory variance produced by an ordering policy , 2003 .

[46]  Tian-Shyr Dai,et al.  Efficient option pricing on stocks paying discrete or path-dependent dividends with the stair tree , 2009 .

[47]  Hyun-Soo Ahn,et al.  Pricing and Manufacturing Decisions When Demand is a Function of Prices in Multiple Periods , 2007, Oper. Res..

[48]  Tarikere T. Niranjan,et al.  Measuring information distortion in real-world supply chains , 2011 .

[49]  Zuo-Jun Max Customer Behavior Modeling in Revenue Management and Auctions: A Review and New Research Opportunities , 2007 .

[50]  J. Fransoo,et al.  Measuring the bullwhip effect in the supply chain , 2000 .

[51]  Yao Zhao,et al.  The Impact of External Demand Information on Parallel Supply Chains with Interacting Demand , 2009 .

[52]  A. Lau,et al.  Considering asymmetrical manufacturing cost information in a two-echelon system that uses price-only contracts , 2006 .

[53]  Christopher S. Tang,et al.  The incremental bullwhip effect of operational deviations in an arborescent supply chain with requirements planning , 2011, Eur. J. Oper. Res..

[54]  H. Jacoby,et al.  Reversion, Timing Options, and Long-Term Decision-Making , 1993 .

[55]  Stephen M. Disney,et al.  The impact of information enrichment on the Bullwhip effect in supply chains: A control engineering perspective , 2004, Eur. J. Oper. Res..

[56]  Maqbool Dada,et al.  Pricing and the Newsvendor Problem: A Review with Extensions , 1999, Oper. Res..

[57]  Sridhar Seshadri,et al.  Information Sharing in a Supply Chain Under ARMA Demand , 2005, Manag. Sci..

[58]  Karl Ernst Osthaus Van de Velde , 1920 .

[59]  S. Disney,et al.  On variance amplification in a three-echelon supply chain with minimum mean square error forecasting , 2022 .

[60]  Stephen M. Disney,et al.  Taming the bullwhip effect whilst watching customer service in a single supply chain echelon , 2006, Eur. J. Oper. Res..

[61]  Terry P. Harrison,et al.  The Bullwhip Effect—Impact of Stochastic Lead Time, Information Quality, and Information Sharing: A Simulation Study , 2004 .

[62]  Z. Drezner,et al.  Quantifying the Bullwhip E ect in a Simple Supply Chain : The Impact of Forecasting , Lead Times and Information , 2007 .

[63]  Subhash Wadhwa,et al.  Inventory performance of some supply chain inventory policies under impulse demands , 2009 .