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  • 1
    Electronic Resource
    Electronic Resource
    The matched queueing network PH/M/c→oPH/PH/1 (1993)
    Springer
    Queueing systems 13 (1993), S. 315-333 
    Details
    ISSN: 1572-9443
    Keywords: Matched queueing network ; Markov process ; PH-renewal process ; PH-distribution ; state probability ; virtual waiting time
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract We consider a matched queueing network PH/M/c→oPH/PH/1, where the output of the first subsystem PH/M/c is regarded as one of the inputs of the second subsystem and matched with another input of PH-renewal process, and they are served by a single server with PH-service-distribution. The stationary state probabilities, the distribution of the virtual waiting times in the two subsystems, and the distribution of the total virtual waiting time are derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01149259
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Asymptotic distribution of the downtime of a monotone system (1997)
    Springer
    Mathematical methods of operations research 45 (1997), S. 355-375 
    Details
    ISSN: 1432-5217
    Keywords: Downtime Distribution ; Monotone System with Repairable Components ; Compound Poisson Approximation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract To compute the distribution of the downtime in a time interval [0,t] for a highly available monotone system, a Compound Poisson process (CP(t)) approximation is often used. In this paper we give sufficient conditions for when the distribution ofCP(t) is an asymptotic limit. We also study the convergence to the normal distribution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01194785
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    Paper (German National Licenses)
    Fulltext
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