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Cycle times and fixed points of min-max functions

  • The Max-Plus Algebraic Approach
  • Conference paper
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11th International Conference on Analysis and Optimization of Systems Discrete Event Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 199))

Abstract

The main contribution of this paper is the identification of the Duality Conjecture and the demonstration of its significance for the deeper study of min-max functions.

Visiting Scholar at the Department of Computer Science from Hewlett-Packard's Stanford Science Centre.

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References

  1. F. Baccelli, G. Cohen, G. J. Olsder, and J.-P. Quadrat. Synchronization and Linearity. Wiley Series in Probability and Mathematical Statistics. John Wiley and Sons, 1992.

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  2. K. Goebel and W. A. Kirk. Topics in Metric Fixed Point Theory, volume 28 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, 1990.

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  3. J. Gunawardena. Min-max functions, Part I. Technical Report STAN-CS-93-1474, Department of Computer Science, Stanford University, May 1993. Submitted to Discrete Event Dynamic Systems.

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  4. J. Gunawardena. Timing analysis of digital circuits and the theory of min-max functions. In TAU'93, ACM International Workshop on Timing Issues in the Specification and Synthesis of Digital Systems, September 1993.

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  5. G. J. Olsder. Eigenvalues of dynamic max-min systems. Discrete Event Dynamic Systems, 1:177–207, 1991.

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Guy Cohen Jean-Pierre Quadrat

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© 1994 Springer-Verlag London Limited

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Gunawardena, J. (1994). Cycle times and fixed points of min-max functions. In: Cohen, G., Quadrat, JP. (eds) 11th International Conference on Analysis and Optimization of Systems Discrete Event Systems. Lecture Notes in Control and Information Sciences, vol 199. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033556

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  • DOI: https://doi.org/10.1007/BFb0033556

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19896-3

  • Online ISBN: 978-3-540-39345-0

  • eBook Packages: Springer Book Archive

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