Browsing by Author "Nelson, B. L."

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    The Ph-t/Ph-t/infinity (k) 100 (K) queueing system: Part II - the multiclass network
    Nelson, B. L.; Taaffe, Michael R. (INFORMS, 2004)
    We demonstrate a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in the multiclass [Ph-t/Ph-t/infinity](K) queueing network system, as well as at the individual network nodes. We allow for multiple, independent, time-dependent entity classes and develop time-dependent performance measures by entity class at the nodal and network levels. We also demonstrate a numerically exact method for evaluating the distribution function and moments of virtual sojourn time through the network for virtual entities, by entity class, arriving to the system at time t. We include an example using software that we have developed and have put in downloadable form in the Online Supplement to this paper on the journal's website.
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    The Ph-t/Ph-t/infinity queueing system: Part I - the single node
    Nelson, B. L.; Taaffe, Michael R. (INFORMS, 2004)
    We develop a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in a Ph-t/Ph-t/infinity queueing system. We also develop a numerically exact method for evaluating the distribution function and moments of the virtual sojourn time for any time t; in our setting, the virtual sojourn time is equivalent to the service time for virtual entities arriving to the system at that time t. We include several examples using software that we have developed and have put in downloadable form in the Online Supplement to this paper on the journal's website.