Time Parallel Simulation and hv-Monotonicity

Conference paper

Abstract

We show how we can make more efficient the time parallel simulation of monotone systems adapting Nicol’s approach. We use the monotonicity of a model related to the initial state of the simulation and we prove an algorithm with fix-up computations which minimises the number of runs before we get a consistent sample-path. We obtain proved upper or lower bounds of the sample-path of the simulation and bounds of some estimates as well.

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Notes

Acknowledgments

We thank UVSQ for a partial support (grant BQR 2010).

References

  1. 1.
    Andradottir, S., Hosseini-Nasab, M.: Parallel simulation of transfer lines by time segmentation. Eur. J. Oper. Res. 159(2), 449–469 (2004)CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    Fourneau, J.M., Kadi, I., Pekergin, N.: Improving time parallel simulation for monotone systems. In: Turner, S.J., Roberts, D., Cai, W., El-Saddik, A. (eds.) DS-RT, pp. 231–234. IEEE Computer Society, Singapore (2009)Google Scholar
  3. 3.
    Fourneau, J.M., Pekergin, N.: An algorithmic approach to stochastic bounds. In: Calzarossa, M., Tucci, S. (eds.) Performance Evaluation of Complex Systems: Techniques and Tools, Performance 2002, Tutorial Lectures, Rome, Italy. LNCS, vol. 2459, pp. 64–88. Springer, London (2002)Google Scholar
  4. 4.
    Fujimoto, R.M.: Parallel and Distributed Simulation Systems. Wiley Series on Parallel and Distributed Computing. John Wiley & Sons, New York (2000)Google Scholar
  5. 5.
    Fujimoto, R.M., Cooper, C.A., Nikolaidis, I.: Parallel simulation of statistical multiplexers. J. Discret. Event Dyn. Syst. 5, 115–140 (1994)CrossRefGoogle Scholar
  6. 6.
    Greenberg, A.G., Lubachevsky, B.D., Mitrani, I.: Algorithms for unboundedly parallel simulations. ACM Trans. Comput. Syst. 9(3), 201–221 (1991)CrossRefGoogle Scholar
  7. 7.
    Nicol, D., Greenberg, A., Lubachevsky, B.: Massively parallel algorithms for trace-driven cache simulations. IEEE Trans. Parallel Distrib. Syst. 5(8), 849–859 (1994)CrossRefGoogle Scholar
  8. 8.
    Turgut, D., Wang, G., Boloni, L., Marinescu, D.C.: Speedup-precision tradeoffs in time-parallel simulation of wireless ad hoc networks. In: DS-RT ’06: Proceedings of the 10th IEEE International Symposium on Distributed Simulation and Real-Time Applications, pp. 265–268. IEEE Computer Society, Malaga (2006)Google Scholar

Copyright information

© Springer-Verlag London Limited  2011

Authors and Affiliations

  1. 1.PRiSM, Université de Versailles-Saint-Quentin, CNRS UMR 8144VersaillesFrance

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