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  • multidimensional denumerable state Markov process  (1)
  • virtual waiting time  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Transient solutions for multidimensional denumerable state Markov processes (1996)
    Springer
    Queueing systems 23 (1996), S. 317-329 
    Details
    ISSN: 1572-9443
    Keywords: Transient solutions ; multidimensional denumerable state Markov process ; uniformization technique ; uniform error
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract The computational problem of transient solutions for denumerable state Markov Processes (MP's) has been solved by Hsu and Yuan [12], who derived an efficient algorithm with uniform error. However, when the state space of an MP is of two or more dimensions, even for computational methods dealing with stationary solutions, only the case where one of the dimensions is infinite and all the others are finite has been studied. In this paper, we study transient solutions for multidimensional denumerable state MP's and give an algorithm with uniform error. Some numerical results are presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01206564
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    Paper (German National Licenses)
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  • 2
    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)
    Fulltext
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