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Stationary Properties of Timed Vector Addition Systems

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Deterministic and Stochastic Scheduling

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 84))

Abstract

Vector addition systems, initially introduced by Karp and Miller, have been very successfully used for the description of complex concurrent behaviour. These models are essentially the same as Petri nets. Our purpose is to develop a quantitative “measurement” oriented theory of such systems in order to complement the existing qualitative theory. This paper is a first step in that direction.

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References

  1. R.M. Karp, R.E. Miller (1966) Properties of a model for parallel computations. SIAM J. Appl. Math. 14, 1390–1411.

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  2. J. Sifakis (1976) Thèse de Docteur-Ingénieur, Grenoble.

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  3. C.V. Ramamoorthy, G.S. Ho (1980) Performance evaluation of asynchronous concurrent systems using Petri nets. IEEE Trans. Software Engrg. SE-6, 440–449.

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  4. E. Gelenbe, I. Mitrani (1980) Analysis and Synthesis of Computer System Models, Academic Press, New York.

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  5. J.P. Buzen, P.J. Denning (1980) Measuring and calculating queue length distributions. Computer, IEEE, 13.4, 33–44.

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Author information

Authors and Affiliations

  1. Université de Paris Sud INRIA, Rocquencourt, France

    Erol Gelenbe

Authors
  1. Erol Gelenbe
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Dalhousie University, Halifax, Nova Scotia, Canada

    M. A. H. Dempster

  2. Balliol College, Oxford, England

    M. A. H. Dempster

  3. Mathematisch Centrum, P.O. Box 4079, 1009 AB, Amsterdam, The Netherlands

    J. K. Lenstra

  4. Econometric Institute H2-11, Erasmus University, P.O. Box 1738, 3000 DR, Rotterdam, The Netherlands

    A. H. G. Rinnooy Kan

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© 1982 D. Reidel Publishing Company

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Gelenbe, E. (1982). Stationary Properties of Timed Vector Addition Systems. In: Dempster, M.A.H., Lenstra, J.K., Rinnooy Kan, A.H.G. (eds) Deterministic and Stochastic Scheduling. NATO Advanced Study Institutes Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7801-0_12

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  • DOI: https://doi.org/10.1007/978-94-009-7801-0_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7803-4

  • Online ISBN: 978-94-009-7801-0

  • eBook Packages: Springer Book Archive

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