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Fluid Limits for Time-Varying Many-Server Loss Systems via Discontinuous Volterra Equations

Wang, Mingrui et al.
arXiv (All) · Papers
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probability
This paper develops fluid limits for nonstationary many-server loss systems with general service-time distributions. For the zero-buffer $M_t/G/n/n$ queueing model, we prove a functional strong law of large numbers for the fraction of busy servers and characterize the limit by a nonlinear Volterra i
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