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A Comparison of Graphical Techniques for Asymmetric Decision Problems


  • Concha Bielza

    (Universidad Politécnica de Madrid, Campus de Montegancedo, 28660 Madrid, Spain)

  • Prakash P. Shenoy

    (School of Business, University of Kansas, Lawrence, Kansas 66045)


We compare four graphical techniques for representation and solution of asymmetric decision problems---decision trees, influence diagrams, valuation networks, and sequential decision diagrams. We solve a modified version of Covaliu and Oliver's Reactor problem using each of the four techniques. For each technique, we highlight the strengths, weaknesses, and some open issues that perhaps can be resolved with further research.

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  • Concha Bielza & Prakash P. Shenoy, 1999. "A Comparison of Graphical Techniques for Asymmetric Decision Problems," Management Science, INFORMS, vol. 45(11), pages 1552-1569, November.
  • Handle: RePEc:inm:ormnsc:v:45:y:1999:i:11:p:1552-1569

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    References listed on IDEAS

    1. Guo, Rui & Shenoy, Prakash P., 1996. "A note on Kirkwood's algebraic method for decision problems," European Journal of Operational Research, Elsevier, vol. 93(3), pages 628-638, September.
    2. Smith, J. Q., 1989. "Influence diagrams for Bayesian decision analysis," European Journal of Operational Research, Elsevier, vol. 40(3), pages 363-376, June.
    3. Craig W. Kirkwood, 1993. "An Algebraic Approach to Formulating and Solving Large Models for Sequential Decisions Under Uncertainty," Management Science, INFORMS, vol. 39(7), pages 900-913, July.
    4. Zvi Covaliu & Robert M. Oliver, 1995. "Representation and Solution of Decision Problems Using Sequential Decision Diagrams," Management Science, INFORMS, vol. 41(12), pages 1860-1881, December.
    5. Prakash Shenoy, 1998. "Game Trees For Decision Analysis," Theory and Decision, Springer, vol. 44(2), pages 149-171, April.
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    Cited by:

    1. Borgonovo, Emanuele & Plischke, Elmar, 2016. "Sensitivity analysis: A review of recent advances," European Journal of Operational Research, Elsevier, vol. 248(3), pages 869-887.
    2. Demirer, Riza & Shenoy, Prakash P., 2006. "Sequential valuation networks for asymmetric decision problems," European Journal of Operational Research, Elsevier, vol. 169(1), pages 286-309, February.
    3. Bielza, Concha & Gómez, Manuel & Shenoy, Prakash P., 2011. "A review of representation issues and modeling challenges with influence diagrams," Omega, Elsevier, vol. 39(3), pages 227-241, June.
    4. Borgonovo, Emanuele & Tonoli, Fabio, 2014. "Decision-network polynomials and the sensitivity of decision-support models," European Journal of Operational Research, Elsevier, vol. 239(2), pages 490-503.
    5. Lopez-Diaz, Miguel & Rodriguez-Muniz, Luis J., 2007. "Influence diagrams with super value nodes involving imprecise information," European Journal of Operational Research, Elsevier, vol. 179(1), pages 203-219, May.


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