Analyzing Variability, Cost, and Responsiveness of Base-Stock Inventory Policies with Linear Control Theory

References

• Balakrishnan, A., Geunes, J., Pangburn, M. S. 2004. Coordinating Supply Chains by Controlling Upstream Variability Propagation. Manufacturing & Service Operations Management 6(2)163–183.
   Google Scholar
• Burns, J.F. Sivazlian, B.D. 1978. Dynamic Analysis of Multi-Echelon Supply Systems. Computers & Industrial Engineering 2 181–193.
   Web of Science ®Google Scholar
• Boute, R.N., Disney, S.M., Lambrecht, M.R., Van Houdt, B. 2007. An Integrated Production and Inventory Model to Dampen Upstream Demand Variability in the Supply Chain. European Journal of Operational Research 178(1), 121–142.
   Web of Science ®Google Scholar
• Boute, R.N. Van Mieghem, J.A. 2012. Global Dual Sourcing and Order Smoothing: The Impact of Capacity and Leadtime. Working Paper
   Google Scholar
• Chen, F. 1999 Decentralized Supply Chains Subject to Information Delays. Management Science 45(8) 1076–1090.
   Web of Science ®Google Scholar
• Chen, Y.F., Drezner, Z., Ryan, J.K., Simchi-Levi, D. 2000. Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times and Information. Management Science 46 436–443.
   Web of Science ®Google Scholar
• Chen, Y.F. and Disney, S.M. 2007. The myopic order-up-to policy with a feedback controller. International Journal of Production Research 45(2), 351–368.
   Web of Science ®Google Scholar
• De Bruyne, F., Anderson, B.D.O., Gevers, M. 1995. Relating H2- and H∞-Norm for Definite-Dimensional Systems. Systems & Control Letters 24 173–181.
   Web of Science ®Google Scholar
• Dejonckheere, J., Disney, S. M., Lambrecht, M. R., Towill, D. R. 2002. Transfer Function Analysis of Forecasting Induced Bullwhip in Supply Chains. International Journal of Production Economics 78 133–144.
   Web of Science ®Google Scholar
• Dejonckheere, J., Disney, S.M., Lambrecht, M.R. and Towill, D.R. 2003. Measuring and Avoiding the Bullwhip Effect: A Control Theoretic Approach. European Journal of Operational Research 147 567–590.
   Web of Science ®Google Scholar
• Disney, S.M., Farasyn, I., Lambrecht, M., Towill, D.R., Van de Velde, W. 2006. Taming the bullwhip effect whilst watching customer service in a single supply chain echelon. European Journal of Operational Research 173(1) 151–172.
   Web of Science ®Google Scholar
• Disney, S.M., Lambrecht, M.R. 2007. On Replenishment Rules, Forecasting and the Bullwhip Effect in Supply Chains: Foundations and Trends. Technology, Information and Operations Management 2(1) pp 1–80.
   Google Scholar
• Disney, S. M., Grubbström, R. W. 2004. Economic Consequences of a Production and Inventory Control Policy. International Journal of Production Research 42(17), 3419–3431.
   Web of Science ®Google Scholar
• Disney, S.M., Naim M.M., D.R. Towill. 2000. Genetic Algorithm Optimization of a Class of Inventory Control Systems International Journal of Production Economics 68 259–278.
   Web of Science ®Google Scholar
• Disney, S.M., Towill, D.R. 2003. On the Bullwhip and Inventory Variance Produced by an Ordering Policy. Omega 31 157–167.
   Web of Science ®Google Scholar
• Disney, S.M., Towill, D.R. 2005. Eliminating Inventory Drift in Supply Chains. International Journal of Production Economics. 93--94, 331–344.
   Web of Science ®Google Scholar
• Disney, S.M., Towill D.R., Van de Velde W. 2004. Variance Amplification and the Golden Ratio in Production and Inventory Control. International Journal of Production Economics 90(3), 295–309.
   Web of Science ®Google Scholar
• Disney, S.M., Lambrecht, M., Towill, D.R. and Van de Velde, W. 2008. The value of coordination in a two echelon supply chain: Sharing information, policies and parameters. IIE Transactions Volume 40(3), 341–355.
   Web of Science ®Google Scholar
• Doyle, J. C., Francis, B., Tannenbaum, A. 1992. Feedback Control Theory. Macmillan, New York.
   Google Scholar
• Ernst, R., Pyke, D. F. 1993. Optimal Base Stock Policies and Truck Capacity in a Two-echelon System. Naval Research Logistics 40 879–904.
   Web of Science ®Google Scholar
• Forrester, J.W. Industrial Dynamics. M.I.T. Press. Cambridge, Mass.
   Google Scholar
• Franklin, G.F., Powell, J.D., Workman, M.L. 1997. Digital Control of Dynamic Systems. 3rd Ed., Prentice-Hall, New Jersey.
   Google Scholar
• Gaalman, G., S.M. Disney. 2009. On bullwhip in a family of order-up-to policies with ARMA(2,2) demand and arbitrary lead-times. International Journal of Production Economics 121(2), 454–463.
   Web of Science ®Google Scholar
• Gaur, V., Giloni, A., Seshadri, S. 2005. Information sharing in a supply chain under ARMA demand. Management Science 51(6), 961–969.
   Web of Science ®Google Scholar
• Giloni, A., Hurvich, C. Seshadri, S. 2014 Forecasting and information sharing in supply chains under ARMA demand. IIE Transactions 46(1), 35–54.
   Web of Science ®Google Scholar
• Graves, S. C. 1988. Safety stocks in manufacturing systems. Journal of Manufacturing and Operations Management 1(1) 67–101.
   Google Scholar
• Hoberg, K., Bradley, J.R. Thonemann, U.W. 2007 Analyzing the Effect of the Inventory Policy on Order and Inventory Variability with Linear Control Theory, European Journal of Operational Research 176(3) 1620–1642.
   Web of Science ®Google Scholar
• Hoberg, K., Thonemann, U.W., Bradley, J.R. 2007. Analyzing the Effect of Inventory Policies on the Nonstationary Performance with Transfer Functions. IIE Transactions 39(9) 911–924.
   Web of Science ®Google Scholar
• Hoberg, K. and Thonemann, U.A. 2014. Modeling and Analyzing Information Delays in Supply Chains Using Transfer Functions. International Journal of Production Economics 156(10) 132–134.
   Web of Science ®Google Scholar
• Hosoda, T., Disney, S. M. 2004. An Analysis of a Three Echelon Supply Chain Model with Minimum Mean Squared Error Forecasting. Omega 34(4) 344–358.
   Web of Science ®Google Scholar
• John, S., Naim, M.M., Towill, D.R. 1994. Dynamic Analysis of a WIP Compensated Decision Support System. International Journal of Manufacturing System Design, 1(4) 283–297.
   Google Scholar
• Jury, E.I. 1982. Inners and Stability of Dynamic Systems. 2nd edition. Krieger, Malabar.
   Google Scholar
• Lee, H.L., So, K.C., Tang, C.S. 2000. The Value of Information Sharing in a Two-Level Supply Chain. Management Science 46(5) 626–643.
   Web of Science ®Google Scholar
• Lee, H.L., Padmanabhan, V., Whang, S. 1997. Information Distortion in a Supply Chain: The Bullwhip Effect. Management Science, 43(4) 546–558.
   Web of Science ®Google Scholar
• Lee, H. L., Padmanabhan, V., Whang, S. 1997. The Bullwhip Effect in Supply Chains. Sloan Management Review, 38(3) 93–102.
   Google Scholar
• Zhou, L., Disney, S.M. 2006. Bullwhip and Inventory Variance in a Closed Loop Supply Chain. OR Spectrum 28(1) 127–149.
   Web of Science ®Google Scholar
• Melnick, E.L., Tenenbein, A. 1982. Misspecifications of the Normal Distribution, The American Statistician 36(4) 372–373.
   Web of Science ®Google Scholar
• Meyer, U., Groover, M.P. 1972. Multiechelon Inventory Systems Using Continuous Systems Analysis and Simulation, AIIE Transactions, 4(4) 318–327.
   Google Scholar
• Naim, M. M., Towill D. R. 1995. What is in the pipeline?. Proceedings of 2nd International Symposium on Logistics,Nottingham, UK, July 117–12, 1995.
   Google Scholar
• Nise, N.S. 2008. Control Systems Engineering. 5th edition, New York.
   Google Scholar
• Patel, J. K., Read, C. B. 1982. Handbook of the Normal Distribution. New York: Dekker.
   Google Scholar
• Riddalls, C.E. Bennett, S. 2002. The Stability of Supply Chains. International Journal of Production Research 40(2) 459–475.
   Web of Science ®Google Scholar
• Simon, H.A. 1952. On the Application of Servomechanism Theory in a Study of Production Control. Econometrica 20(2) 247–268.
   Web of Science ®Google Scholar
• Sterman, J. D. 1989. Modeling Managerial Behavior: Misperceptions of Feedback in a Dynamic Decision Making Experiment. Management Science 35(3) 321–339.
   Web of Science ®Google Scholar
• Towill, D.R. 1982. Dynamic Analysis of an Inventory and Order Based Production Control System. International Journal of Production Research 20 369–383.
   Web of Science ®Google Scholar
• Vassian, H.J. 1955. Application of Discrete Variable Servo Theory to Inventory Control. Operations Research 3 272–282.
   Web of Science ®Google Scholar
• Weisstein, E.M. 2010. Normal Distribution. From Math World – A Wolfram Web Resource. http://mathworld.wolfram.com/NormalDistribution.html, Last Accessed: August 10th, 2010.
   Google Scholar
• Warburton, R.D.H., Disney, S. M., Towill, D. R., Hodgson, J. P. E. 2004. Further Insights into the Stability of Supply Chains. International Journal of Production Research 42(3) 639–648.
   Web of Science ®Google Scholar
• Warburton, R.D.H., Disney, S.M. 2007. Order and inventory variance amplifications: The Equivalence of Discrete and Continuous Time Analysis. International Journal of Production Economics 110(1–2) 128–137.
   Web of Science ®Google Scholar