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On the Complexity of Verifying Structural Properties of Discrete Event Simulation Models

Author

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  • Sheldon H. Jacobson

    (University of Illinois at Urbana-Champaign, Urbana, Illinois)

  • Enver Yücesan

    (INSEAD, Fontainebleau Cedex, France)

Abstract

This paper uses computational complexity theory to assess the difficulty of various discrete event simulation problems. More specifically, accessibility of states, ordering of events, noninterchangeability of model implementations, and execution stalling for discrete event simulations are formally stated as search problems and proven to be NP -hard. The consequences of these results cover a wide range of modeling and analysis problems in simulation. For example, problems associated with certain variance reduction techniques, model verification, model validation, and the applicability of infinitesimal perturbation analysis, among others, are deemed intractable.

Suggested Citation

  • Sheldon H. Jacobson & Enver Yücesan, 1999. "On the Complexity of Verifying Structural Properties of Discrete Event Simulation Models," Operations Research, INFORMS, vol. 47(3), pages 476-481, June.
    • Handle: RePEc:inm:oropre:v:47:y:1999:i:3:p:476-481
    DOI: 10.1287/opre.47.3.476
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    References listed on IDEAS

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    1. Tapas K. Som & Robert G. Sargent, 1989. "A Formal Development of Event Graphs as an Aid to Structured and Efficient Simulation Programs," INFORMS Journal on Computing, INFORMS, vol. 1(2), pages 107-125, May.
    2. Robert G. Sargent, 1988. "Event Graph Modelling for Simulation with an Application to Flexible Manufacturing Systems," Management Science, INFORMS, vol. 34(10), pages 1231-1251, October.
    3. Paul Glasserman & David D. Yao, 1992. "Some Guidelines and Guarantees for Common Random Numbers," Management Science, INFORMS, vol. 38(6), pages 884-908, June.
    4. Ward Whitt, 1989. "Planning Queueing Simulations," Management Science, INFORMS, vol. 35(11), pages 1341-1366, November.
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    Cited by:

    1. Jacobson, Sheldon H. & McLay, Laura A., 2009. "Applying statistical tests to empirically compare tabu search parameters for MAX 3-SATISFIABILITY: A case study," Omega, Elsevier, vol. 37(3), pages 522-534, June.

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