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Mean-Risk Analysis: An Introduction

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Book cover Risk Analysis in Stochastic Supply Chains

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 178))

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Abstract

Risk is a term commonly used in business. In a supply chain, risk is associated with the decision making problems whenever there exist uncertain outcomes and some of the outcomes are unfavorable (Lowrance 1976; Haimes 2004; Tuncel and Alpan 2010). There are different perspectives of supply chain risk analysis and management (Tang 2006; Sodhi et al. 2012). One of these perspectives focuses on examining the supply chain disruption risk which is defined as the supply chain risk associated with anthropogenic or natural disruptions such as earthquakes, hurricanes, terrorist attacks, big storms, economic crises, diseases, etc. Another perspective links risk in the supply chain with some “normal uncertainties” such as demand volatility, supply uncertainty, and cost–revenue variation; this kind of risk is termed as the supply chain operational risk, and it is the major area of supply chain risk that we examine in this book.

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Notes

  1. 1.

    It is known that there is very diverse perception towards the field of “supply chain risk management.” See Sodhi et al. (2012) for some consolidated recent views and findings from researchers in this emerging area.

  2. 2.

    The interested reader is referred to Tang (2006) and Zsidisin and Ritchie (2008) for more comprehensive views on different perspectives on supply chain risks. For the review on operational hedging, refer to Van Mieghem (2003), Boyabath and Toktay (2004), Gaur and Seshadri (2005), and Van Mieghem (2007).

  3. 3.

    Notice that the following review only covers a few key related areas and is not meant to be an exhaustive one. For example, the coherent measures of risk and the loss aversion issues are not reviewed here. Interested reader can refer to Artzner et al. (1999), Choi and Ruszczynski (2008) and Choi (2012) for more details on the coherent measures of risk, and Wang and Webster (2009) and Wang (2010) for more discussions on the inventory problems related to loss aversion.

  4. 4.

    Interested reader is also referred to Borgonovo and Peccati (2009) for a comparison among various risk averse inventory models.

References

  • Agrawal, V., & Seshadri, S. (2000). Risk intermediation in supply chains. IIE Transactions, 32, 819–831.

    Google Scholar 

  • Artzner, P., Delbaen, F., Eber, J., & Heath, D. (1999). Coherent measures of risk. Mathematical Finance, 9, 203–228.

    Article  Google Scholar 

  • Atkinson, A. A. (1979). Incentives, uncertainty, and risk in the newsboy problem. Decision Science, 10, 341–357.

    Article  Google Scholar 

  • Borgonovo, E., & Peccati, L. (2009). Financial management in inventory problems: Risk averse vs risk neutral policies. International Journal of Production Economics, 118, 233–242.

    Article  Google Scholar 

  • Borgonovo, E., & Peccati, L. (2011). Finite change comparative statics for risk-coherent inventories. International Journal of Production Economics, 131, 52–62.

    Article  Google Scholar 

  • Bouakiz, M., & Sobel, M. J. (1992). Inventory control with an exponential utility criterion. Operations Research, 40, 603–608.

    Article  Google Scholar 

  • Boyabath, O., & Toktay L. B. (2004). Operational hedging: A review with extensions. Working paper, INSEAD.

    Google Scholar 

  • Buzacott, J., Yan, H., & Zhang, H. (2011). Risk analysis of commitment–option contracts with forecast updates. IIE Transactions, 43, 415–431.

    Article  Google Scholar 

  • Caliskan-Demirag, O., & Chen, Y. (2011). Customer and retailer rebates under risk aversion. International Journal of Production Economics, 133, 736–750.

    Article  Google Scholar 

  • Chahar, K., & Taaffe, K. (2009). Risk averse demand selection with all-or-nothing orders. Omega, 37, 996–1006.

    Article  Google Scholar 

  • Chen, F., & Federgruen, A. (2000). Mean-variance analysis of basic inventory models. Working paper, Columbia University.

    Google Scholar 

  • Chen, Y. J., & Seshadri, S. (2005). Supply chain structure and demand risk. Automatica, 42, 1291–1299.

    Article  Google Scholar 

  • Chen, X., Sim, M., Simchi-Levi, S., & Sun, P. (2007). Risk aversion in inventory management. Operations Research, 55, 828–842.

    Article  Google Scholar 

  • Chen, Y. F., Xu, M., & Zhang, Z. (2009). A risk-averse newsvendor model with CVaR criterion. Operations Research, 57, 1040–1044.

    Article  Google Scholar 

  • Chen, Y. F., & Yano, C. A. (2010). Improving supply chain performance and managing risk under weather-related demand uncertainty. Management Science, 56, 1380–1397.

    Article  Google Scholar 

  • Cheng, L., Wan, Z., & Wang, G. (2009). Bilevel newsvendor models considering retailer with CVaR objective. Computers and Industrial Engineering, 57, 310–318.

    Article  Google Scholar 

  • Chiu, C. H., & Choi, T. M. (2010). Optimal pricing and stocking decisions for newsvendor problem with value-at-risk consideration. IEEE Transactions on Systems, Man and Cybernetics, Part A, 40, 1116–1119.

    Article  Google Scholar 

  • Chiu, C. H., Choi, T. M., Hao, G., & Li, X. (2012a). Coordinating supply chains with a global-brand and multiple risk-averse retailers. Working paper, The Hong Kong Polytechnic University.

    Google Scholar 

  • Chiu, C. H., Choi, T. M., & Li, X. (2011°). Supply chain coordination with risk sensitive agent under target sales rebate contracts. Automatica, 47, 1617–1625.

    Article  Google Scholar 

  • Chiu, C. H., Choi, T. M., & Tang, C. S. (2011b). Price, rebate, and returns supply contracts for coordinating supply chains with price dependent demand. Production and Operations Management, 20, 81–91.

    Article  Google Scholar 

  • Chiu, C. H., Zheng, J., & Choi, T. M. (2011c). Optimal pricing and inventory decisions for fashion retailers under value-at-risk objective: Applications and review. In T.M. Choi (Ed.), Fashion supply chain management: Industry and business analysis (pp. 100–109). Hershey, PA: IGI Global.

    Chapter  Google Scholar 

  • Choi, T. M. (2011). Coordination and risk analysis of VMI supply chains with RFID technology. IEEE Transactions on Industrial Informatics, 7, 497–504.

    Article  Google Scholar 

  • Choi, S. (2012). A multi-product risk-averse newsvendor with law invariant coherent measures of risk. In T.M. Choi (Ed.), Handbook on newsvendor problems: Models, extensions and applications. New York: Springer.

    Chapter  Google Scholar 

  • Choi, T. M., & Chiu, C. H. (2012). Mean-downside-risk and mean-variance newsvendor models: Implications for sustainable fashion retailing. International Journal of Production Economics, 135, 552–560.

    Article  Google Scholar 

  • Choi, T. M., Chiu, C. H., & Fu, P. (2011). Periodic review multi-period inventory control under a mean-variance optimization objective. IEEE Transactions on Systems, Man, and Cybernetics, Part A - Systems and Humans, 41, 678–682.

    Article  Google Scholar 

  • Choi, T. M., & Chow, P. S. (2008). Mean-variance analysis of quick response program. International Journal of Production Economics, 114, 456–475.

    Article  Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (1999). Newsvendor problem with the safety-first objective. Working paper, The Chinese University of Hong Kong.

    Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (2001). Newsvendor problem with mean-variance objectives. Proceedings of the 5th International Conference on Optimization: Techniques and Applications (Vol. 4, pp. 1860–1867).

    Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (2003). Optimal two-stage ordering policy with Bayesian information updating. Journal of the Operational Research Society, 54, 846–859.

    Article  Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (2004). Optimal returns policy for supply chain with e-marketplace. International Journal of Production Economics, 88, 205–227.

    Article  Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (2008a). Mean-variance analysis of a single supplier and retailer supply chain under a returns policy. European Journal of Operational Research, 184, 356–376.

    Article  Google Scholar 

  • Choi, T. M., Li, D., & Yan, H. (2008b). Mean-variance analysis for the newsvendor problem. IEEE Transactions on Systems, Man, and Cybernetics, Part A - Systems and Humans, 38, 1169–1180.

    Article  Google Scholar 

  • Choi, T. M., Li, D., Yan, H., & Chiu, C. H. (2008c). Channel coordination in supply chains with members having mean-variance objectives. Omega, 36, 565–576.

    Article  Google Scholar 

  • Choi, T. M., Liu, N., Ng, F., & Yuen, M. (2012). Mean-risk analysis of fashion mass customization programme with demand-return correlation. Working paper, The Hong Kong Polytechnic University.

    Google Scholar 

  • Choi, S., & Ruszczynski, A. (2008). A risk-averse newsvendor with law-invariant coherent measures of risk. Operations Research Letters, 36, 77–82.

    Article  Google Scholar 

  • Choi, S., & Ruszczynski, A. (2011). A multi-product risk-averse newsvendor with exponential utility function. European Journal of Operational Research, 214, 78–84.

    Article  Google Scholar 

  • Eeckhoudt, L., Gollier, C., & Schlesinger, H. (1995). The risk-averse (and prudent) newsboy. Management Science, 41, 786–794.

    Article  Google Scholar 

  • Gan, X., Sethi, S. P., & Yan, H. (2004). Coordination of supply chains with risk-averse agents. Production and Operations Management, 13, 135–147.

    Article  Google Scholar 

  • Gan, X., Sethi, S. P., & Yan, H. (2005). Channel coordination with a risk-neutral supplier and a downside-risk-averse retailer. Production and Operations Management, 14, 80–89.

    Article  Google Scholar 

  • Gaur, V., & Seshadri, S. (2005). Hedging inventory risk through market instruments. Manufacturing and Service Operations Management, 7, 103–120.

    Article  Google Scholar 

  • Giri, B. C. (2011). Managing inventory with two suppliers under yield uncertainty and risk aversion. International Journal of Production Economics, 133, 80–85.

    Article  Google Scholar 

  • Gotoh, J., & Takano, Y. (2007). Newsvendor solutions via conditional value-at-risk minimization. European Journal of Operational Research, 179, 80–96.

    Article  Google Scholar 

  • Grootveld, H., & Hallerbach, W. (1999). Variance vs. downside risk: Is there really that much difference? European Journal of Operational Research, 114, 304–319.

    Article  Google Scholar 

  • Haimes, Y. Y. (2004). Risk modeling, assessment, and management (2nd ed.). New York: Wiley-Interscience.

    Book  Google Scholar 

  • Hsieh, C. C., & Lu, Y. T. (2010). Manufacturer’s return policy in a two-stage supply chain with two risk-averse retailers and random demand. European Journal of Operational Research, 207, 514–523.

    Article  Google Scholar 

  • Hung, Y. H., Li, L. Y. O., & Cheng, T. C. E. (2011). Transfer of newsvendor inventory and supply risks to sub-industry and the public by financial instruments. International Journal of Production Economics, in press.

    Google Scholar 

  • Ingersoll, J. C. (1987). Theory of financial decision making. Lanham, MD: Rowman and Littefield Publishers.

    Google Scholar 

  • Jammernegg, W., & Kischka, P. (2012). Newsvendor problems with VaR and CVaR consideration. In T.M. Choi (Ed.), Handbook on newsvendor problems: Models, Extensions and Applications. New York: Springer.

    Google Scholar 

  • Jornsten, K., Nonas, S. L., Sandal, L., & Uboe, J. (2012). Transfer of risk in the newsvendor model with discrete demand. Omega, 40, 404–414.

    Article  Google Scholar 

  • Keren, B., & Pliskin, J. S. (2006). A benchmark solution for the risk-averse newsvendor problem. European Journal of Operational Research, 174, 1643–1650.

    Article  Google Scholar 

  • Lau, H. S. (1980). The newsboy problem under alternative optimization objectives. Journal of the Operational Research Society, 31, 525–535.

    Google Scholar 

  • Lau, H. S., & Lau, A. H. L. (1999). Manufacturer’s pricing strategy and returns policy for a single-period commodity. European Journal of Operational Research, 116, 291–304.

    Article  Google Scholar 

  • Levy, H., & Markowitz, H. M. (1979). Approximated expected utility by a function of mean and variance. American Economics Review, 69, 308–317.

    Google Scholar 

  • Liu, N., Choi, T. M., Yuen, M. C. W., & Ng, F. (2011). Optimal pricing, modularity and return policy under mass customization. IEEE Transactions on Systems, Man, and Cybernetics, Part A. doi:10.1109/TSMCA.2011.2170063. published online.

  • Liu, Z., & Nagurney, A. (2011). Supply chain outsourcing under exchange rate risk and competition. Omega, 39, 539–549.

    Article  Google Scholar 

  • Lowrance, W. W. (1976). Of acceptable risk. Los Altos, CA: William Kaufmann.

    Google Scholar 

  • Luciano, E., Peccati, L., & Cifarelli, D. M. (2003). VaR as a risk measure for multiperiod static inventory models. International Journal of Production Economics, 81–82, 375–384.

    Article  Google Scholar 

  • Ma, L., Liu, F., Li, S., & Yan, H. (2010). Channel bargaining with risk-averse retailer. International Journal of Production Economics, in press http://dx.doi.org/10.1016/j.ijpe.2010.08.016.

  • Markowitz, H. M. (1959). Portfolio selection: Efficient diversification of investment. New York: John Wiley & Sons.

    Google Scholar 

  • Martinez-de-Albeniz, V., & Simchi-Levi, D. (2006). Mean-variance trade-offs in supply contracts. Naval Research Logistics, 53, 603–616.

    Article  Google Scholar 

  • Ogryczak, W., & Ruszczynski, A. (2001). On consistency of stochastic dominance and mean–semideviation models. Mathematical Programming, Series B, 89, 217–232.

    Article  Google Scholar 

  • Özler, A., Tan, B., & Karaesmen, F. (2009). Multi-product newsvendor problem with value-at-risk considerations. International Journal of Production Economics, 117, 244–255.

    Article  Google Scholar 

  • Parlar, M., & Weng, Z. K. (2003). Balancing desirable but conflicting objectives in the newsvendor problem. IIE Transactions, 35, 131–142.

    Article  Google Scholar 

  • Sankarasubramanian, E., & Kumaraswamy, S. (1983). Optimal ordering quantity for pre-determined Level of profit. Management Science, 29, 512–514.

    Article  Google Scholar 

  • Shen, B., Choi, T. M., Wang, Y., & Lo, C. K. Y. (2012). Coordination of fashion supply chains with risk averse supplier by markdown money policy. Working paper, The Hong Kong Polytechnic University.

    Google Scholar 

  • Shi, C. V., & Chen, B. (2007). Pareto-optimal contracts for a supply chain with satisficing objectives. Journal of the Operational Research Society, 58, 751–760.

    Article  Google Scholar 

  • Shi, C. V., & Guo, L. (2012). Profit target setting for multiple divisions: A newsvendor perspective. In T.M. Choi (Ed.), Handbook on newsvendor problems: Models, extensions and applications. New York: Springer.

    Google Scholar 

  • Shi, C. V., Yang, S., Xia, Y., & Zhao, X. (2011). Inventory competition for newsvendors under the objective of profit satisficing. European Journal of Operational Research, 215, 367–373.

    Article  Google Scholar 

  • Sodhi, M. S., Son, B. G., & Tang, C. S. (2012). Researchers’ perspectives on supply chain risk management. Production and Operations Management, 21, 1–13.

    Article  Google Scholar 

  • Tang, C. S. (2006). Perspectives in supply chain risk management. International Journal of Production Economics, 103, 451–488.

    Article  Google Scholar 

  • Tapiero, C. S. (2005). Value at risk and inventory control. European Journal of Operational Research, 163, 769–775.

    Article  Google Scholar 

  • Tapiero, C. S., & Kogan, K. (2009). Risk-averse order policies with random prices in complete market and retailer’s private information. European Journal of Operational Research, 196, 594–599.

    Article  Google Scholar 

  • Thakkar, R. B., Finley, D. R., & Liao, W. M. (1983). A stochastic demand CVP model with return on investment criterion. Contemporary Accounting Research, 1, 77–86.

    Article  Google Scholar 

  • Tsay, A. A. (2002). Risk sensitivity in distribution channel partnerships: Implications for manufacturer return policies. Journal of Retailing, 78, 147–160.

    Article  Google Scholar 

  • Tuncel, G., & Alpan, G. (2010). Risk assessment and management for supply chain networks: A case study. Computers in Industry, 61, 250–259.

    Article  Google Scholar 

  • Vaagen, H., & Wallace, S. W. (2008). Product variety arising from hedging in the fashion supply chains. International Journal of Production Economics, 114, 431–455.

    Article  Google Scholar 

  • Van Mieghem, J. A. (2003). Capacity management, investment, and hedging: Review and recent developments. Manufacturing and Service Operations Management, 5, 269–301.

    Article  Google Scholar 

  • Van Mieghem, J. A. (2007). Risk mitigation in newsvendor network: Resource diversification, flexibility, sharing, and hedging. Management Science, 53, 1269–1288.

    Article  Google Scholar 

  • Wang, C. X. (2010). The loss-averse newsvendor game. International Journal of Production Economics, 124, 448–452.

    Article  Google Scholar 

  • Wang, C. X., & Webster, S. (2009). The loss-averse newsvendor problem. Omega, 37, 93–105.

    Article  Google Scholar 

  • Wang, C. X., Webster, S., & Suresh, N. C. (2009). Would a risk-averse newsvendor order less at a higher selling price? European Journal of Operational Research, 196, 544–553.

    Article  Google Scholar 

  • Wei, Y., & Choi, T. M. (2010). Mean-variance analysis of supply chains under wholesale pricing and profit sharing scheme. European Journal of Operational Research, 204, 255–262.

    Article  Google Scholar 

  • Wu, J., Li, J., Wang, S., & Cheng, T. C. E. (2009). Mean–variance analysis of the newsvendor model with stockout cost. Omega, 37, 724–730.

    Article  Google Scholar 

  • Wu, J., Wang, S., Chao, X., Ng, C. T., & Cheng, T. C. E. (2010). Impact of risk aversion on optimal decisions in supply contracts. International Journal of Production Economics, 128, 569–576.

    Article  Google Scholar 

  • Wu, J., Yue, W., Yamamoto, Y., & Wang, S. (2006). Risk analysis of a pay to delay capacity reservation contract. Optimization Methods and Software, 21, 635–651.

    Article  Google Scholar 

  • Xie, G., Yue, W., Wang, S., & Lai, K. K. (2011). Quality investment and price decision in a risk-averse supply chain. European Journal of Operational Research, 214, 403–410.

    Article  Google Scholar 

  • Zhang, D., Xu, H., & Wu, Y. (2009). Single and multi-period optimal inventory control models with risk-averse constraints. European Journal of Operational Research, 199, 420–434.

    Article  Google Scholar 

  • Zsidisin, G. A., & Ritchie, B. (2008). Supply chain risk. New York: Springer.

    Google Scholar 

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Choi, TM., Chiu, CH. (2012). Mean-Risk Analysis: An Introduction. In: Risk Analysis in Stochastic Supply Chains. International Series in Operations Research & Management Science, vol 178. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3869-4_1

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