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Solving the Capacity Optimization Problem under Demand Uncertainty

Author

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  • Jan Vlachý

    () (Czech Technical University, Prague and City University of Seattle)

Abstract

This paper provides theoretical and practical insight into the solution of the investment project optimization problem under uncertainty. A case study recommends the use of statistical simulation, which is shown to be a powerful, practical, flexible and comprehensive tool for managerial decision-making purposes, even as it takes into account exogeneous uncertainty, as well as endogeneous processes structurally vested in the project. Results show that excess capacity may have a value exceeding its cost, which can be assessed either through comparison of available variants, or by carrying out a full optimization. From the theoretical point of view, the relationship of the problem to real-option analysis is investigated in more detail. Even though it obviously does contain real options, in principle, as various project alternatives differ in terms of their flexibility to alter operating scale, the proposed solution clearly surmounts some of the limitations of prevalent realoption models.

Suggested Citation

  • Jan Vlachý, 2009. "Solving the Capacity Optimization Problem under Demand Uncertainty," Romanian Economic Journal, Department of International Business and Economics from the Academy of Economic Studies Bucharest, vol. 12(34), pages 97-116, (4).
  • Handle: RePEc:rej:journl:v:12:y:2009:i:34:p:97-116
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    References listed on IDEAS

    as
    1. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    2. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    4. Rendleman, Richard J, Jr & Bartter, Brit J, 1979. "Two-State Option Pricing," Journal of Finance, American Finance Association, vol. 34(5), pages 1093-1110, December.
    5. Lenos Trigeorgis, 1993. "Real Options and Interactions With Financial Flexibility," Financial Management, Financial Management Association, vol. 22(3), Fall.
    6. Hadar, Josef & Russell, William R, 1969. "Rules for Ordering Uncertain Prospects," American Economic Review, American Economic Association, vol. 59(1), pages 25-34, March.
    7. Boyle, Phelim P., 1977. "Options: A Monte Carlo approach," Journal of Financial Economics, Elsevier, vol. 4(3), pages 323-338, May.
    8. Henry, Claude, 1974. "Investment Decisions Under Uncertainty: The "Irreversibility Effect."," American Economic Review, American Economic Association, vol. 64(6), pages 1006-1012, December.
    9. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
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    More about this item

    Keywords

    capital budgeting; capacity optimization; real options; statistical simulation;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G31 - Financial Economics - - Corporate Finance and Governance - - - Capital Budgeting; Fixed Investment and Inventory Studies
    • M21 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Business Economics - - - Business Economics

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