IIE Transactions

, Volume 34, Issue 8, pp 717–728

Supply chain capacity and outsourcing decisions: the dynamic interplay of demand and supply uncertainty

  • Panos Kouvelis
  • Joseph M. Milner


We study the interplay of demand and supply uncertainty in capacity and outsourcing decisions in multi-stage supply chains. We consider a firm's investment in two stages of a supply chain (Stage 1 models the “core” activities of the firm, while Stage 2 are the “non-core” activities). The firm invests in these two stages in order to maximize the multi-period, discounted profit. We consider how non-stationary stochastic demand affects the outsourcing decisions. We also consider how investment levels are affected by non-stationary stochastic supply when the market responds to the firm's investments. We characterize the optimal capacity investment decisions for the single- and multi-period versions of our model and focus on how changes in supply and demand uncertainty affect the extent of outsourcing. We find that as the responsiveness of the market to investments made by the firm increases, the reliance on outsourcing generally increases. While greater supply and greater demand have the expected effect on investments, decreases in variability are not as straightforward. Greater supply uncertainty increases the need for vertical integration while greater demand uncertainty increases the reliance on outsourcing. In the multi-period model, we find that the nature of adjustments in capacity based on changes in demand or supply follows from the comparative statics of the single-period model, although whether outsourcing increases or decreases depends on the costs of adjusting capacity.


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  1. Angelus, A. and Porteus, E. (2000) Simultaneous production and capacity management under stochastic demand for produced to stock goods. Research paper series. Graduate School of Business. Stanford University, Stanford CA.Google Scholar
  2. Bean, J.C., Higle, J.L. and Smith, R.L. (1992) Capacity expansions under stochastic demands. Operations Research, 40(S2), S210–S216.Google Scholar
  3. Chambers, C.G., Johnson, S. and Kouvelis, P. (1996) Zamech Ltd., in: Global Operations and Logistics: Text and Cases, Dornier, P.-P., Ernst, R., Fender, M. and Kouvelis, P. (eds), Wiley, New York, pp. 130–144.Google Scholar
  4. Ciarallo, F.W., Akella, R. and Morton, T.E. (1994) A periodic review, production planning model with uncertain capacity and uncertain demand optimality of extended myopic policies. Management Science, 40(3), 320–332.Google Scholar
  5. Davis, M.H.A., Dempster, M.A.H., Sethi, S.P. and Vermer, D. (1987) Optimal capacity expansion under uncertainty. Advances in Applied Probability, 19, 156–176.Google Scholar
  6. Dixit, A. (1997) Investment and employment dynamics in the short run and the long run. Oxford Economics Papers, 49(1), 1–20.Google Scholar
  7. Dornier, P.P., Ernst, R., Fender, M. and Kouvelis, P. (1998) Global Operations and Logistics: Text and Cases, Wiley, NY.Google Scholar
  8. Eberly, J.C. and Van Mieghem, J.A. (1997) Multifactor dynamic investment under uncertainty. Journal of Economic Theory, 75(8), 345–387.Google Scholar
  9. Emmons, W. (1991) Tambrands Inc.: the Femtech Soviet joint venture (B). Case study, 9-792-020, Harvard Business School, Cambridge, MA.Google Scholar
  10. Eppen, G.D., Martin, R.K. and Schrage, L. (1989) A scenario approach to capacity planning. Operations Research, 37(4), 517–527.Google Scholar
  11. Erlenkotter, D.S., Sethi, S.P. and Okada, N. (1989) Planning for surprise: water resources development under demand and supply uncertainty, I: the general model. Management Science, 35(2), 149–163.Google Scholar
  12. Fong, C.O. and Srinivasan, V. (1981) The multiregion dynamic capacity expansion problem, parts I & II. Operations Research, 29(4), 787–816.Google Scholar
  13. Gerchak, Y. and Mossman, D. (1992) On the effect of demand randomness on inventories and costs. Operations Research, 40(4), 804–808.Google Scholar
  14. Giffi, C., Roth, A. and Seal, G. (1990) Competing in World-class manufacturing: Americas 21st Century Challenge, Business One Irwin, Homewood, IL.Google Scholar
  15. Giglio, R.J. (1970) Stochastic capacity models. Management Science, 17(3), 174–184.Google Scholar
  16. Harrison, J.M. and Van Mieghem, J.A. (1999) Multi-resources investment strategies: operational hedging under demand uncertainty. European Journal of Operational Research 113(1), 17–29.Google Scholar
  17. Huchzermeier, A. and Cohen, M. (1996) Valuing operational flexibility under exchange rate uncertainty. Operations Research, 44(1), 100–113.Google Scholar
  18. Jain, K. and Silver, E.A. (1995) The single period procurement problem where dedicated supplier capacity can be reserved. Naval Research Logistics, 42, 915–934.Google Scholar
  19. Kall, P. and Wallace, S.W. (1994) Stochastic Programming, Wiley, New York.Google Scholar
  20. Klincewitz, J.G., Luss, H. and Yu, C.S. (1988) A large-scale multilocation capacity planning model. European Journal of Operational Research, 34(2), 178–190.Google Scholar
  21. Kogut, B. and Kulatilaka, N. (1994) Operating flexibility, global manufacturing and the option value of a multinational network. Management Science, 40(1), 123–139.Google Scholar
  22. Kouvelis, P. and Milner, J.M. (2000) Supply chain capacity expansion and outsourcing: the dynamic interplay of demand and supply uncertainty. Unabridged working paper. Washington University, St. Louis, MO.Google Scholar
  23. Li, C.L. and Kouvelis, P. (1998) Flexible and risk-sharing supply contracts under price uncertainty. Management Science, 45(10), 1378–1398.Google Scholar
  24. Li, S. and Tirupati, D. (1994) Dynamic capacity expansion problem with multiple products: technology selection and timing of capacity additions. Operations Research, 42(5), 958–976.Google Scholar
  25. Lieberman, D. (1999) LCD makers regroup after catastrophic year. Electronic Engineering Times. January 4, p. 14.Google Scholar
  26. Luss, H. (1982) Operations research and capacity expansion problems: a survey. Operations Research, 30(5), 907–947.Google Scholar
  27. Manne, A.S. (1961) Capacity expansion and probabilistic growth. Econometrica 29(4), 632–649.Google Scholar
  28. Paraskevopoulos, D., Karakitsos, E. and Rustem, B. (1991) Robust capacity planning under uncertainty. Management Science, 37(7), 787–800.Google Scholar
  29. Ross, S. (1983) Stochastic Processes, Wiley, New York.Google Scholar
  30. Van Mieghem, J.A. (1999) Coordinating investment, production, and subcontracting. Management Science, 45(7), 954–971.Google Scholar
  31. Yano, C.A. and Lee, H.L. (1995) Lot sizing with random yields: a review. Operations Research, 43(2), 311–334.Google Scholar

Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Panos Kouvelis
    • 1
  • Joseph M. Milner
    • 1
  1. 1.John M. Olin School of Business, Washington UniversitySt. LouisUSA

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