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On product-form approximations of cooperating stochastic models

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Computer and Information Sciences

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 62))

Abstract

The main focus of this paper is to enlarge the applicability of product-form solutions by regarding models that yield this property as approximations of models that do not. To achieve this, we make use of Reversed Compound Agent Theorem (RCAT)[2, 3] and devise a useful and practical method to modify non-product form models into productform ones. Our technique provides meaningful approximations of the original models.

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References

  1. K. M. Chandy and A. J. Martin. A characterization of product-form queuing networks. J. ACM, 30(2):286–299, 1983.

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  2. P. G. Harrison. Turning back time in Markovian process algebra. Theoretical Computer Science, 290(3):1947–1986, January 2003.

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  3. A. Marin and M. G. Vigliotti. A general result for deriving product-form solutions of markovian models. In Proc. of First Joint WOSP/SIPEW Int. Conf. on Perf. Eng., pages 165–176, San Jos`e, CA, USA, 2010.

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  4. M. F. Neuts. Matrix Geometric Solutions in Stochastic Models. John Hopkins, Baltimore, Md, 1981.

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  5. N. van Dijk. Queueing networks and product forms. John Wiley, 1993.

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Marin, A., Vigliotti, M.G. (2011). On product-form approximations of cooperating stochastic models. In: Gelenbe, E., Lent, R., Sakellari, G., Sacan, A., Toroslu, H., Yazici, A. (eds) Computer and Information Sciences. Lecture Notes in Electrical Engineering, vol 62. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9794-1_13

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  • DOI: https://doi.org/10.1007/978-90-481-9794-1_13

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9793-4

  • Online ISBN: 978-90-481-9794-1

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