Some effects of nonstationarity on multiserver Markovian queueing systems
Operations Research
Strong approximations for Markovian service networks
Queueing Systems: Theory and Applications
Time-dependent queueing network approximations as simulation external control variates
Operations Research Letters
Nonstationary analysis of circuit-switched communication networks
Performance Evaluation
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Motivated by the development of complex telephone call center networks, we present a general framework for decompositions to approximately solve Markovian queueing networks with time-dependent and state-dependent transition rates. The decompositions are based on assuming either full or partial product form for the time-dependent probability vectors at each time. These decompositions reduce the number of time-dependent ordinary differential equations that must be solved. We show how special structure in the transition rates can be exploited to speed up computation. There is extra theoretical support for the decomposition approximation when the steady-state distribution of the time-homogeneous version of the model has product form.