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The bullwhip effect in supply chain networks. (English) Zbl 1173.90338
Summary: This paper analyzes the propagation and amplification of order fluctuations (i.e., the bullwhip effect) in supply chain networks operated with linear and time-invariant inventory management policies. The supply chain network is allowed to include multiple customers (e.g., markets), any network structure, with or without sharing information. The paper characterizes the stream of orders placed by any supplier for any stationary customer demand processes, and gives exact formulas for the variance of the orders placed and the amplification of order fluctuations. The paper also derives robust analytical conditions, based only on inventory management policies, to predict the presence of the bullwhip effect for any network structure, any inventory replenishment policies, and arbitrary customer demand processes. Numerical examples show that the analytical results accurately quantify the bullwhip effect; managerial insights are drawn from the analysis. The methodology presented in this paper generalizes those in previous studies for serial supply chains.
90B10Network models, deterministic (optimization)
[1]Baganha, M. P.; Cohen, M. A.: The stabilizing effect of inventory in supply chains, Operations research 46, No. 3, 572-583 (1998) · Zbl 0987.90003 · doi:10.1287/opre.46.3.S72
[2]Blinder, A. S.: Can the production smoothing model of inventory behavior be saved?, Quarterly journal of economics 101, 431-454 (1986)
[3]Boccadoro, M., Martinelli, F., Valigi, P., 2006. H-infinity control of a Supply Chain model. In: Proceedings of the 45th IEEE Conference on Decision and Control, pp. 4387 – 4392.
[4]Brockwell, P. J.; Davis, R. A.: Time series: theory and methods, (1998)
[5]Cachon, G.; Randall, T.; Schmidt, G. M.: In search of the bullwhip effect, Manufacturing and service operations management 9, No. 4, 457-479 (2007)
[6]Chen, F.; Drezner, Z.; Ryan, J.; Simchi-Levi, D.: Quantifying the bullwhip effect in a simple supply chain: the impact of forecasting, lead times, and information, Management science 46, No. 3, 436-443 (2000) · Zbl 1231.90019 · doi:10.1287/mnsc.46.3.436.12069
[7]Chen, F.; Ryan, J.; Simchi-Levi, D.: The impact of exponential smoothing forecasts on the bullwhip effect, Naval research logistics 47, No. 4, 271-286 (2000) · Zbl 0968.90006 · doi:10.1002/(SICI)1520-6750(200006)47:4<269::AID-NAV1>3.0.CO;2-Q
[8]Cooke, J. A.: The &dollar;30 billion promise, Traffic management 32, 57-59 (1993)
[9]Couch, L. W.: Digital and analog communications systems, (2001)
[10]Daganzo, C.F., 2001 A theory of supply chains. Institute of Transportation Studies Research Report, UCB-ITS-RR-2001-7, University of California, Berkeley, CA.
[11]Daganzo, C. F.: A theory of supply chains, (2003)
[12]Daganzo, C. F.: On the stability of supply chains, Operations research 52, No. 6, 909-921 (2004) · Zbl 1165.90346 · doi:10.1287/opre.1040.0147
[13]Dejonckheere, J.; Disney, S. M.; Lambrecht, M. R.; Towill, D. R.: Measuring and avoiding the bullwhip effect: A control theoretic approach, European journal of operational research 147, No. 3, 567-590 (2003) · Zbl 1026.90030 · doi:10.1016/S0377-2217(02)00369-7
[14]Dejonckheere, J.; Disney, S. M.; Lambrecht, M. R.; Towill, D. R.: The impact of information enrichment on the bullwhip effect in supply chains: A control engineering perspective, European journal of operational research 153, No. 3, 727-750 (2004) · Zbl 1099.90503 · doi:10.1016/S0377-2217(02)00808-1
[15]Disney, S. M.; Farasyn, I.; Lambrecht, M.; Towill, D. R.; Van De Velde, W.: Taming the bullwhip effect whilst watching customer service in a single echelon of a supply chain, European journal of operational research 173, 151-172 (2006) · Zbl 1125.90312 · doi:10.1016/j.ejor.2005.01.026
[16]Forrester, J.: Industrial dynamics, a major breakthrough for decision makers, Harvard business review 36, 37-66 (1958)
[17]Forrester, J.: Industrial dynamics, (1961)
[18]Gaur, V.; Giloni, A.; Seshadri, S.: Information sharing in a supply chain under ARMA demand, Management science 51, No. 6, 961-969 (2005) · Zbl 1232.90049 · doi:10.1287/mnsc.1050.0385
[19]Gavirneni, S.; Kapuscinski, R.; Tayur, S.: Value of information in capacitated supply chains, Management science 45, No. 1, 16-24 (1999) · Zbl 1231.90088 · doi:10.1287/mnsc.45.1.16
[20]Gilbert, K.: An ARIMA supply chain model, Management science 51, No. 2, 305-310 (2005) · Zbl 1232.90052 · doi:10.1287/mnsc.1040.0308
[21]Goodwin, J.; Franklin, S.: The beer distribution game: using simulation to teach systems thinking, Journal of management development 13, No. 8, 7-15 (1994)
[22]Graves, S.: A single item inventory model for a nonstationary demand process, Manufacturing and service operations management 1, 50-61 (1999)
[23]Holt, C. C.; Modigliani, F.; Muth, J.; Simon, H. A.: Planning production, inventories and work force, (1960)
[24]Kahn, J.: Inventories and the volatility of production, American economic review 77, 667-679 (1987)
[25]Kaminsky, P., Simchi-Levi, D., 1998. The Computerized Beer Game: Teaching the Value of Integrated Supply Chain Management. In: Lee, H., Ng, S.M. (Eds.), Supply Chain and Technology Management, The Production and Operations Management Society.
[26]Lee, H. L.; Padmanabhan, V.; Whang, S.: The bullwhip effect in supply chains, Sloan management review 38, No. 3, 93-102 (1997)
[27]Lee, H. L.; Padmanabhan, V.; Whang, S.: Information distortion in a supply chain: the bullwhip effect, Management science 43, No. 4, 546-558 (1997) · Zbl 0888.90047 · doi:10.1287/mnsc.43.4.546
[28]Lee, H. L.; So, K. C.; Tang, C. S.: The value of information sharing in a two level supply chain, Management science 46, No. 5, 628-643 (2000) · Zbl 1231.90044 · doi:10.1287/mnsc.46.5.626.12047
[29]Magee, J. F.: Guides to inventory control (Part II), Harvard business review, 106-116 (1956)
[30]Magee, J. F.; Boodman, D.: Production planning and inventory control, (1967)
[31]Naish, H. F.: Production smoothing in the linear quadratic inventory model, Economic journal 104, No. 425, 864-875 (1994)
[32]Ogata, K.: Discrete-time control systems, (1987)
[33]Ouyang, Y., 2005 System-level Stability and Optimality of Decentralized Supply Chains, Ph.D. Dissertation, University of California, Berkeley.
[34]Ouyang, Y.: The effect of information sharing on supply chain stability and the bullwhip effect, European journal of operational research 182, No. 3, 1107-1121 (2007) · Zbl 1121.90366 · doi:10.1016/j.ejor.2006.09.037
[35]Ouyang, Y.; Daganzo, C. F.: Characterization of the bullwhip effect in linear, time-invariant supply chains: some formulae and tests, Management science 52, No. 10, 1544-1556 (2006) · Zbl 1232.90082 · doi:10.1287/mnsc.1060.0573
[36]Ouyang, Y.; Daganzo, C. F.: Counteracting the bullwhip effect with decentralized negotiations and advance demand information, Physica A 363, No. 1, 14-23 (2006)
[37]Ouyang, Y., Daganzo, C.F., 2009. Robust stability analysis of decentralized supply chains. In: Kempf, K., et al. (Eds.), Production Planning Handbook, Springer’s International Series in Operations Research and Management Science, Springer, in press.
[38]Ouyang, Y.; Daganzo, C. F.: Robust tests for the bullwhip effect in supply chains with stochastic dynamics, European journal of operational research 185, No. 1, 340-353 (2008) · Zbl 1137.90334 · doi:10.1016/j.ejor.2006.10.046
[39]Ouyang, Y., Lago, A., Daganzo, C.F., 2006. Taming the bullwhip effect: from traffic to supply chains. In: Carranza, O., et al. (Eds.), Bullwhip Effect in Supply Chains: A Review of Methods, Components, and Cases, Palgrave-MacMilan Series.
[40]Ramey, V. A.: Nonconvex costs and the behavior of inventories, Journal of political economy 99, 306-334 (1991)
[41]Sterman, J.: Modelling managerial behaviour: misperceptions of feedback in a dynamic decision making experiment, Management science 35, No. 3, 321-339 (1989)
[42]Zhang, X.: Evolution of ARMA demand in supply chains, Manufacturing service and operations management 6, 195-198 (2004)
[43]Zipkin, P. H.: Foundations of inventory management, (2000)