A Network of Time-Varying Many-Server Fluid Queues with Customer Abandonment
Operations Research
Asymptotically Optimal Controls for Time-Inhomogeneous Networks
SIAM Journal on Control and Optimization
Transient analysis of general queueing systems via simulation-based transfer function modeling
Proceedings of the Winter Simulation Conference
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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 /8] Kqueueing 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 timet. 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.