Asymptotically Optimal Controls for Time-Inhomogeneous Networks
SIAM Journal on Control and Optimization
Transient analysis of a queuing system with matrix-geometric methods
NEW2AN'06 Proceedings of the 6th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
The Impact of Dependent Service Times on Large-Scale Service Systems
Manufacturing & Service Operations Management
Transient analysis of general queueing systems via simulation-based transfer function modeling
Proceedings of the Winter Simulation Conference
Fitting the Pht/Mt/s/c Time-Dependent Departure Process for Use in Tandem Queueing Networks
INFORMS Journal on Computing
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We develop a numerically exact method for evaluating the time-dependent mean, variance, and higher-order moments of the number of entities in aPh t / Ph t /8 queueing system. We also develop a numerically exact method for evaluating the distribution function and moments of the virtual sojourn time for any timet; in our setting, the virtual sojourn time is equivalent to the service time for virtual entities arriving to the system at that timet. 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.