A comparison of RESTART implementations

Marnix J.J. Garvels, Dirk P. Kroese

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Abstract

The RESTART method is a widely applicable simulation technique for the estimation of rare event probabilities. The method is based on the idea to restart the simulation in certain system states, in order to generate more occurrences of the rare event. One of the main questions for any RESTART implementation is {\em how} and {\em when} to restart the simulation, in order to achieve the most accurate results for a fixed simulation effort. In this paper we investigate and compare, both theoretically and empirically, different implementations of the RESTART method. We find that the original RESTART implementation, in which each path is split into a fixed number of copies, may not be the most efficient one. It is generally better to fix the total simulation effort for each stage of the simulation. Furthermore, given this effort, the best strategy is to restart an equal number of times from each state, rather than to restart each time from a randomly chosen state.
Original languageEnglish
Place of PublicationEnschede
PublisherCentre for Telematics and Information Technology (CTIT)
Number of pages24
Publication statusPublished - 1998

Publication series

NameCTIT technical report series
PublisherCentre for Telematics and Information Technology
No.98-09
ISSN (Print)1381-3625
  • A comparison of RESTART implementations

    Garvels, M. J. J. & Kroese, D. P., 20 Feb 1998, Proceedings of the 1998 Winter Simulation Conference. Medeiros, D. J., Watson, E. F., Carson, J. S. & Manivannan, M. S. (eds.). Enschede: IEEE, Vol. 1. p. 601-609

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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  • A comparison of RESTART implementations

    Garvels, M. J. J. & Kroese, D. P., 1998, Enschede: University of Twente. 24 p. (Memorandum; no. 1443)

    Research output: Book/ReportReportProfessional

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