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math.PR2026
Volterra-Skorokhod Reflection and Fluid Limits of Loss Queues
Mingrui Wang, Prakash Chakraborty
In the loss queue, a customer blocked at time remains missing from the system for as long as it would have been served. A fraction of the blocking at t…
math.PR2025
Fluid Limits for Time-Varying Many-Server Loss Systems via Discontinuous Volterra Equations
Mingrui Wang, Prakash Chakraborty
This paper develops fluid limits for nonstationary many-server loss systems with general service-time distributions. For the zero-buffer queueing model, we prove a func…
math.PR2025
-Player Stochastic Differential Games with Regime Switching and Mean Field Convergence
Mingrui Wang, Prakash Chakraborty
In this study, we investigate -player stochastic differential games with regime switching, where the player dynamics are modulated by a finite-state Markov chain. We analyze the…