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Solving large sparse linear systems arising in queuing problems

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Numerical Integration of Differential Equations and Large Linear Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 968))

Abstract

In this paper we describe iterative methods for finding the null vectors of large sparse unsymmetric singular matrices which arise while modeling queuing networks. We find that these matrices often have some useful algebraic structure, and that classical methods often applied to solving nonsingular problems arising in the study of differential equations can be used for these types of problems.

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Bibliography

  1. L. Kaufman, J. B. Seery, and J. A. Morrison, "Overflow Models for Dimension PBX Feature Packages", Bell System Technical Journal, Vol 60, No. 5, May–June 1981.

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Juergen Hinze

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© 1982 Springer-Verlag

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Kaufman, L. (1982). Solving large sparse linear systems arising in queuing problems. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064901

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  • DOI: https://doi.org/10.1007/BFb0064901

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11970-8

  • Online ISBN: 978-3-540-39374-0

  • eBook Packages: Springer Book Archive

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