Demand evolution in stochastic inventory systems: Riskiness increase
This paper characterizes demand evolution in the steady state under common inventory policies in a single-location stochastic inventory system. Our results show that downstream demand nonstrictly second-degree stochastically dominates upstream orders and the bullwhip effect occurs. We provide the link between demand evolution and utility theory for stochastic inventory systems. Our model is general in that ultimate customer demand follows an arbitrary stationary distribution and the facility may arbitrarily select policy parameters.
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- Frank Milne & Edwin H. Neave, 1994.
"Dominance Relations Among Standardized Variables,"
INFORMS, vol. 40(10), pages 1343-1352, October.
- Frank Milne & Edwin H. Neave, 1993. "Dominance Relations Among Standardized Variable," Working Papers 877, Queen's University, Department of Economics.
- G. Hadley & T. M. Whitin, 1961. "A Family of Inventory Models," Management Science, INFORMS, vol. 7(4), pages 351-371, July.
- Andrew J. Clark & Herbert Scarf, 2004. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 50(12_supple), pages 1782-1790, December.
- Andrew J. Clark & Herbert Scarf, 1960. "Optimal Policies for a Multi-Echelon Inventory Problem," Management Science, INFORMS, vol. 6(4), pages 475-490, July.
- Wright, David & Yuan, Xin, 2008. "Mitigating the bullwhip effect by ordering policies and forecasting methods," International Journal of Production Economics, Elsevier, vol. 113(2), pages 587-597, June.
- Guillermo Gallego, 1998. "New Bounds and Heuristics for (Q, r) Policies," Management Science, INFORMS, vol. 44(2), pages 219-233, February.
- Porter, R Burr & Gaumnitz, Jabk E, 1972. "Stochastic Dominance vs. Mean-Variance Portfolio Analysis: An Empirical Evaluation," American Economic Review, American Economic Association, vol. 62(3), pages 438-446, June.
- Andrew Caplin & John Leahy, 1997. "Aggregation and Optimization with State-Dependent Pricing," Econometrica, Econometric Society, vol. 65(3), pages 601-626, May.
- Caplin, A. & Leahy, J., 1992. "Aggregation and Optimization with State-Dependent Pricing," Harvard Institute of Economic Research Working Papers 1595, Harvard - Institute of Economic Research.
- Andrzej Ruszczynski & Robert J. Vanderbei, 2003. "Frontiers of Stochastically Nondominated Portfolios," Econometrica, Econometric Society, vol. 71(4), pages 1287-1297, 07.
- Disney, S. M. & Towill, D. R., 2003. "The effect of vendor managed inventory (VMI) dynamics on the Bullwhip Effect in supply chains," International Journal of Production Economics, Elsevier, vol. 85(2), pages 199-215, August.
- Dejonckheere, J. & Disney, S. M. & Lambrecht, M. R. & Towill, D. R., 2003. "Measuring and avoiding the bullwhip effect: A control theoretic approach," European Journal of Operational Research, Elsevier, vol. 147(3), pages 567-590, June.
- Towill, Denis R. & Zhou, Li & Disney, Stephen M., 2007. "Reducing the bullwhip effect: Looking through the appropriate lens," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 444-453, July.
- Haim Levy, 1992. "Stochastic Dominance and Expected Utility: Survey and Analysis," Management Science, INFORMS, vol. 38(4), pages 555-593, April.
- Caballero, Ricardo J & Engel, Eduardo M R A, 1991. "Dynamic (S, s) Economies," Econometrica, Econometric Society, vol. 59(6), pages 1659-1686, November.
- Ricardo J. Caballero & Eduardo M.R.A. Engel, 1991. "Dynamic (S,s) Economies," NBER Working Papers 3734, National Bureau of Economic Research, Inc.
- Hoberg, Kai & Bradley, James R. & Thonemann, Ulrich W., 2007. "Analyzing the effect of the inventory policy on order and inventory variability with linear control theory," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1620-1642, February.
- Hau L. Lee & V. Padmanabhan & Seungjin Whang, 1997. "Information Distortion in a Supply Chain: The Bullwhip Effect," Management Science, INFORMS, vol. 43(4), pages 546-558, April.
- Li, Xiaoming & Sridharan, V., 2008. "Characterizing order processes of using (R,nQ) inventory policies in supply chains," Omega, Elsevier, vol. 36(6), pages 1096-1104, December.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Frank Chen & Zvi Drezner & Jennifer K. Ryan & David Simchi-Levi, 2000. "Quantifying the Bullwhip Effect in a Simple Supply Chain: The Impact of Forecasting, Lead Times, and Information," Management Science, INFORMS, vol. 46(3), pages 436-443, March.
- Porter, R. Burr, 1973. "An Empirical Comparison of Stochastic Dominance and Mean-Variance Portfolio Choice Criteria," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(04), pages 587-608, September.
- Jean-Jacques Laffont, 1989. "The Economics of Uncertainty and Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262121360, July.
- Kelle, Peter & Milne, Alistair, 1999. "The effect of (s, S) ordering policy on the supply chain," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 113-122, March. Full references (including those not matched with items on IDEAS)
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