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Modeling supply-chain planning under demand uncertainty using stochastic programming: A survey motivated by asset-liability management

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  • Sodhi, ManMohan S.
  • Tang, Christopher S.

Abstract

We extend the linear programming (LP) model of deterministic supply-chain planning to take demand uncertainty and cash flows into account for the medium term. The resulting stochastic LP model is similar to that of asset-liability management (ALM), for which the literature using stochastic programming is extensive. As such, we survey various modeling and solution choices developed in the ALM literature and discuss their applicability to supply-chain planning. This survey can be a basis for making modeling/solution choices in research and in practice to manage the risks pertaining to unmet demand, excess inventory, and cash liquidity when demand is uncertain.

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  • Sodhi, ManMohan S. & Tang, Christopher S., 2009. "Modeling supply-chain planning under demand uncertainty using stochastic programming: A survey motivated by asset-liability management," International Journal of Production Economics, Elsevier, vol. 121(2), pages 728-738, October.
    • Handle: RePEc:eee:proeco:v:121:y:2009:i:2:p:728-738
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    1. Venu Nagali & Jerry Hwang & David Sanghera & Matt Gaskins & Mark Pridgen & Tim Thurston & Patty Mackenroth & Dwight Branvold & Patrick Scholler & Greg Shoemaker, 2008. "Procurement Risk Management (PRM) at Hewlett-Packard Company," Interfaces, INFORMS, vol. 38(1), pages 51-60, February.
    2. Manmohan S. Sodhi, 2001. "Applications and Opportunities for Operations Research in Internet-Enabled Supply Chains and Electronic Marketplaces," Interfaces, INFORMS, vol. 31(2), pages 56-69, April.
    3. Iassinovski, S. & Artiba, A. & Bachelet, V. & Riane, F., 2003. "Integration of simulation and optimization for solving complex decision making problems," International Journal of Production Economics, Elsevier, vol. 85(1), pages 3-10, July.
    4. Kenneth J. Worzel & Christiana Vassiadou-Zeniou & Stavros A. Zenios, 1994. "Integrated Simulation and Optimization Models for Tracking Indices of Fixed-Income Securities," Operations Research, INFORMS, vol. 42(2), pages 223-233, April.
    5. 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.
    6. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    7. Alexei Gaivoronski & Petter de Lange, 2000. "An Asset Liability Management Model for Casualty Insurers: Complexity Reduction vs. Parameterized Decision Rules," Annals of Operations Research, Springer, vol. 99(1), pages 227-250, December.
    8. Minner, Stefan, 2003. "Multiple-supplier inventory models in supply chain management: A review," International Journal of Production Economics, Elsevier, vol. 81(1), pages 265-279, January.
    9. R. T. Rockafellar & Roger J.-B. Wets, 1991. "Scenarios and Policy Aggregation in Optimization Under Uncertainty," Mathematics of Operations Research, INFORMS, vol. 16(1), pages 119-147, February.
    10. Paul R. Kleindorfer & D. J. Wu, 2003. "Integrating Long- and Short-Term Contracting via Business-to-Business Exchanges for Capital-Intensive Industries," Management Science, INFORMS, vol. 49(11), pages 1597-1615, November.
    11. Hau L. Lee & Kut C. So & Christopher S. Tang, 2000. "The Value of Information Sharing in a Two-Level Supply Chain," Management Science, INFORMS, vol. 46(5), pages 626-643, May.
    12. M S Sodhi & S Lee, 2007. "An analysis of sources of risk in the consumer electronics industry," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(11), pages 1430-1439, November.
    13. Paul H. Zipkin, 1980. "Bounds on the Effect of Aggregating Variables in Linear Programs," Operations Research, INFORMS, vol. 28(2), pages 403-418, April.
    14. Heath, David & Jarrow, Robert & Morton, Andrew, 1990. "Bond Pricing and the Term Structure of Interest Rates: A Discrete Time Approximation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(4), pages 419-440, December.
    15. Arthur M. Geoffrion & Richard F. Powers, 1995. "Twenty Years of Strategic Distribution System Design: An Evolutionary Perspective," Interfaces, INFORMS, vol. 25(5), pages 105-127, October.
    16. John M. Mulvey & Andrzej Ruszczyński, 1995. "A New Scenario Decomposition Method for Large-Scale Stochastic Optimization," Operations Research, INFORMS, vol. 43(3), pages 477-490, June.
    17. J. G. Kallberg & W. T. Ziemba, 1983. "Comparison of Alternative Utility Functions in Portfolio Selection Problems," Management Science, INFORMS, vol. 29(11), pages 1257-1276, November.
    18. Kjetil Høyland & Stein W. Wallace, 2001. "Generating Scenario Trees for Multistage Decision Problems," Management Science, INFORMS, vol. 47(2), pages 295-307, February.
    19. Klaassen, Pieter, 1997. "Discretized reality and spurious profits in stochastic programming models for asset/liability management," Serie Research Memoranda 0011, VU University Amsterdam, Faculty of Economics, Business Administration and Econometrics.
    20. Kouwenberg, Roy, 2001. "Scenario generation and stochastic programming models for asset liability management," European Journal of Operational Research, Elsevier, vol. 134(2), pages 279-292, October.
    21. John M. Mulvey & Hercules Vladimirou, 1992. "Stochastic Network Programming for Financial Planning Problems," Management Science, INFORMS, vol. 38(11), pages 1642-1664, November.
    22. Klaassen, Pieter, 1997. "Discretized reality and spurious profits in stochastic programming models for asset/liability management," European Journal of Operational Research, Elsevier, vol. 101(2), pages 374-392, September.
    23. S. E. Wright, 1994. "Primal-Dual Aggregation and Disaggregation for Stochastic Linear Programs," Mathematics of Operations Research, INFORMS, vol. 19(4), pages 893-908, November.
    24. David R. Cariño & David H. Myers & William T. Ziemba, 1998. "Concepts, Technical Issues, and Uses of the Russell-Yasuda Kasai Financial Planning Model," Operations Research, INFORMS, vol. 46(4), pages 450-462, August.
    25. G.Ch. Pflug & A. Świętanowski & E. Dockner & H. Moritsch, 2000. "The AURORA Financial Management System: Model and Parallel Implementation Design," Annals of Operations Research, Springer, vol. 99(1), pages 189-206, December.
    26. Pieter Klaassen, 1998. "Financial Asset-Pricing Theory and Stochastic Programming Models for Asset/Liability Management: A Synthesis," Management Science, INFORMS, vol. 44(1), pages 31-48, January.
    27. Paul H. Zipkin, 1980. "Bounds for Row-Aggregation in Linear Programming," Operations Research, INFORMS, vol. 28(4), pages 903-916, August.
    28. Tang, Christopher & Tomlin, Brian, 2008. "The power of flexibility for mitigating supply chain risks," International Journal of Production Economics, Elsevier, vol. 116(1), pages 12-27, November.
    29. John M. Mulvey, 1996. "Generating Scenarios for the Towers Perrin Investment System," Interfaces, INFORMS, vol. 26(2), pages 1-15, April.
    30. Bruce Kogut & Nalin Kulatilaka, 1994. "Operating Flexibility, Global Manufacturing, and the Option Value of a Multinational Network," Management Science, INFORMS, vol. 40(1), pages 123-139, January.
    31. Mula, J. & Poler, R. & Garcia-Sabater, J.P. & Lario, F.C., 2006. "Models for production planning under uncertainty: A review," International Journal of Production Economics, Elsevier, vol. 103(1), pages 271-285, September.
    32. Arnd Huchzermeier & Christoph H. Loch, 2001. "Project Management Under Risk: Using the Real Options Approach to Evaluate Flexibility in R...D," Management Science, INFORMS, vol. 47(1), pages 85-101, January.
    33. S C H Leung & Y Wu & K K Lai, 2006. "A stochastic programming approach for multi-site aggregate production planning," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(2), pages 123-132, February.
    34. Bruce C. Arntzen & Gerald G. Brown & Terry P. Harrison & Linda L. Trafton, 1995. "Global Supply Chain Management at Digital Equipment Corporation," Interfaces, INFORMS, vol. 25(1), pages 69-93, February.
    35. M. I. Kusy & W. T. Ziemba, 1986. "A Bank Asset and Liability Management Model," Operations Research, INFORMS, vol. 34(3), pages 356-376, June.
    36. Stephen P. Bradley & Dwight B. Crane, 1972. "A Dynamic Model for Bond Portfolio Management," Management Science, INFORMS, vol. 19(2), pages 139-151, October.
    37. John R. Birge, 2000. "Option Methods for Incorporating Risk into Linear Capacity Planning Models," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 19-31, August.
    38. Ho, Thomas S Y & Lee, Sang-bin, 1986. "Term Structure Movements and Pricing Interest Rate Contingent Claims," Journal of Finance, American Finance Association, vol. 41(5), pages 1011-1029, December.
    39. Soren S. Nielsen & Stavros A. Zenios, 1993. "A Massively Parallel Algorithm for Nonlinear Stochastic Network Problems," Operations Research, INFORMS, vol. 41(2), pages 319-337, April.
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