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Two-resource stochastic capacity planning employing a Bayesian methodology

Author

Listed:
  • E Stavrulaki

    (Bentley College)

  • D K H Fong

    (Penn State University, University Park)

  • D K J Lin

    (Penn State University, University Park)

Abstract

We examine a stochastic capacity-planning problem with two resources that can satisfy demand for two services. One of the resources can only satisfy demand for a specific service, whereas the other resource can provide both services. We formulate the problem of choosing the capacity levels of each resource to maximize expected profits. In addition, we provide analytic, easy-to-interpret optimal solutions, as well as perform a comparative statics analysis. As applying the optimal solutions effectively requires good estimates of the unknown demand parameters, we also examine Bayesian estimates of the demand parameters derived via a class of conjugate priors. We compare the optimal expected profits when demands for the two services follow independent distributions with informative and non-informative priors, and demonstrate that using good informative priors on demand can significantly improve performance.

Suggested Citation

  • E Stavrulaki & D K H Fong & D K J Lin, 2003. "Two-resource stochastic capacity planning employing a Bayesian methodology," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(11), pages 1198-1208, November.
    • Handle: RePEc:pal:jorsoc:v:54:y:2003:i:11:d:10.1057_palgrave.jors.2601607
    DOI: 10.1057/palgrave.jors.2601607
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    References listed on IDEAS

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    1. Bodily, S. E. & Weatherford, L. R., 1995. "Perishable-asset revenue management: Generic and multiple-price yield management with diversion," Omega, Elsevier, vol. 23(2), pages 173-185, April.
    2. Pammer, Scott E & Fong, Duncan K H & Arnold, Steven F, 2000. "Forecasting the Penetration of a New Product--A Bayesian Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(4), pages 428-435, October.
    3. Jeffrey I. McGill & Garrett J. van Ryzin, 1999. "Revenue Management: Research Overview and Prospects," Transportation Science, INFORMS, vol. 33(2), pages 233-256, May.
    4. Yehuda Bassok & Ravi Anupindi & Ram Akella, 1999. "Single-Period Multiproduct Inventory Models with Substitution," Operations Research, INFORMS, vol. 47(4), pages 632-642, August.
    5. Fong, Duncan K H & Bolton, Gary E, 1997. "Analyzing Ultimatum Bargaining: A Bayesian Approach to the Comparison of Two Potency Curves under Shape Constraints," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 335-344, July.
    6. Fong, Duncan K H, et al, 2002. "Reanalyzing Ultimatum Bargaining--Comparing Nondecreasing Curves without Shape Constraints," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(3), pages 423-430, July.
    7. Harrison, J. Michael & Van Mieghem, Jan A., 1999. "Multi-resource investment strategies: Operational hedging under demand uncertainty," European Journal of Operational Research, Elsevier, vol. 113(1), pages 17-29, February.
    8. S. L. Brumelle & J. I. McGill & T. H. Oum & K. Sawaki & M. W. Tretheway, 1990. "Allocation of Airline Seats between Stochastically Dependent Demands," Transportation Science, INFORMS, vol. 24(3), pages 183-192, August.
    9. Hill, Roger M., 1997. "Applying Bayesian methodology with a uniform prior to the single period inventory model," European Journal of Operational Research, Elsevier, vol. 98(3), pages 555-562, May.
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    Cited by:

    1. R J Ormerod, 2010. "Rational inference: deductive, inductive and probabilistic thinking," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(8), pages 1207-1223, August.
    2. Stavrulaki, Euthemia, 2011. "Inventory decisions for substitutable products with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 129(1), pages 65-78, January.

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