Circulant-Based Preconditioners for Queuing Systems with Markov-Modulated Poisson Process Inputs

  • Wai Ki Ching
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter, we study a queuing system which has a different arrival process compared with the queuing systems studied in Chapters 1 and 2. The arrival process is a Markov-Modulated Poisson Process (MMPP). An MMPP is a generalization of the Poisson process and is widely used as the input model of communication systems such as data traffic systems [72], Asynchronous Transfer Mode (ATM) networks [116].


Generator Matrix Queuing System Asynchronous Transfer Mode Fast Convergence Rate Preconditioned Matrix 
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Copyright information

© Springer-Verlag London 2001

Authors and Affiliations

  • Wai Ki Ching
    • 1
  1. 1.Faculty of Mathematical StudiesUniversity of SouthamptonHighfield SouthamptonUK

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