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Performance analysis of multi-server tandem queues with finite buffers and blocking

In: Stochastic Modeling of Manufacturing Systems

Author

Listed:
  • Marcel Vuuren

    (Eindhoven University of Technology)

  • Ivo J.B.F. Adan

    (Eindhoven University of Technology)

  • Simone A.E. Resing-Sassen

    (CQM BV)

Abstract

In this paper we study multi-server tandem queues with finite buffers and blocking after service. The service times are generally distributed. We develop an efficient approximation method to determine performance characteristics such as the throughput and mean sojourn times. The method is based on decomposition into two-station subsystems, the parameters of which are determined by iteration. For the analysis of the subsystems we developed a spectral expansion method. Comparison with simulation shows that the approximation method produces accurate results. So it is useful for the design and analysis of production lines.

Suggested Citation

  • Marcel Vuuren & Ivo J.B.F. Adan & Simone A.E. Resing-Sassen, 2006. "Performance analysis of multi-server tandem queues with finite buffers and blocking," Springer Books, in: George Liberopoulos & Chrissoleon T. Papadopoulos & Barış Tan & J. M. Smith & Stanley B. Gershwin (ed.), Stochastic Modeling of Manufacturing Systems, pages 169-192, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-29057-5_8
    DOI: 10.1007/3-540-29057-5_8
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