Analysis of stability and bullwhip effect in production-inventory systems

被引：0

作者：

Zhang C. ^{[1
]}

Wang H. ^{[1
]}

机构：

[1] School of Economics and Management, Southeast University

来源：

Journal of Southeast University (English Edition) | 2011年 / 27卷 / 01期

关键词：

Bullwhip effect; Production-inventory systems; Stability analysis; Z-transform;

D O I：

10.3969/j.issn.1003-7985.2011.01.021

中图分类号：

学科分类号：

摘要：

To discuss the relationship between stability and bullwhip effect in the supply chain system, a basic model in a production-inventory control system is developed using difference equations. Z-transform techniques are applied to investigate the production ordering and inventory dynamics. For the two operational regimes of sufficient inventory coverage and insufficient inventory coverage, the scope of decision parameters which make the system stable or instable is investigated. Under two operational regimes and the actual system, production release rates, stability/instability and bullwhip effect in the stable region and instable region are examined based on different demand functions, and then the numerical simulation results are given. The results show that reasonable choices of fractional adjustment of inventory and supply line can make the system stable and decrease bullwhip effect. It is summarized that the piecewise linearization based on the stability analysis approach is a valid approximation to the analysis of production-inventory ordering systems with nonlinearities. Some interesting results are obtained and they have important implications for improving inventory and order decisions in supply chain systems.

引用

页码：101 / 106

页数：5

共 13 条

[1] Lee H.L., Padmanabhan P., Whang S., Information distortion in a supply chain: The bullwhip effect, Management Science, 50, 12, pp. 1875-1886, (2004)
[2] Sterman J.D., Modeling managerial behavior: Misperceptions of feedback in a dynamic decision making experiment, Management Science, 135, 3, pp. 321-339, (1989)
[3] Springer M., Kim I., Managing the order pipeline to reduce supply chain volatility, European Journal of Operational Research, 203, 2, pp. 380-392, (2010)
[4] Wang J.L., Kuo J.K., Chou S.Y., Et al., A comparison of bullwhip effect in a single-stage supply chain for autocorrelated demands when using Correct, MA, and EWMA methods, Expert Systems with Applications, 37, 7, pp. 4726-4736, (2010)
[5] Strozzi F., Noe C., Zaldivar J.M., Stability control in supply chain: Total costs and bullwhip effect reduction, The Open Operational Research Journal, 2, 7, pp. 51-59, (2008)
[6] Sipahi R., Delice I.I., Stability of inventory dynamics in supply chains with three delays, International Journal of Production Economics, 123, 1, pp. 107-117, (2010)
[7] Ortega M., Lin L., Control theory applications to the production-inventory problem: A review, International Journal of Production Research, 42, 11, pp. 2303-2322, (2004)
[8] Sarimveis H., Patrinos P., Tarantilis C.D., Et al., Dynamic modeling and control of supply chain systems: A review, Computers and Operations Research, 35, 11, pp. 3530-3561, (2008)
[9] Disney S.M., Towill D.R., van de Velde W., Variance amplification and golden ratio in production and inventory control, International Journal of Production Economics, 90, 3, pp. 295-309, (2004)
[10] Disney S.M., Towill D.R., Eliminating drift in inventory and order based production control systems, International Journal of Production Economics, 93-94, 1, pp. 331-344, (2005)

← 1 2 →