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math.PR2025★ 1 cited
Finite-Time Behavior of Erlang-C Model: Mixing Time, Mean Queue Length and Tail Bounds
Hoang Huy Nguyen, Sushil Mahavir Varma, Siva Theja Maguluri
Service systems like data centers and ride-hailing are popularly modeled as queueing systems in the literature. Such systems are primarily studied in the steady state due to their…
math.PR2020
Logarithmic Heavy Traffic Error Bounds in Generalized Switch and Load Balancing Systems
Daniela Hurtado-Lange, Sushil Mahavir Varma, Siva Theja Maguluri
Motivated by application in wireless networks, cloud computing, data centers etc, Stochastic Processing Networks have been studied in the literature under various asymptotic regime…