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math.PR2026
A Heavy Traffic Theory of Matching Queues
Sushil Mahavir Varma, Siva Theja Maguluri
Motivated by emerging applications in online matching platforms and marketplaces, we study a matching queue. Customers and servers that arrive in a matching queue depart as soon as…
math.PR2025
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.PR2025
Power-of- Choices Load Balancing in the Sub-Halfin Whitt Regime
Sushil Mahavir Varma, Francisco Castro, Siva Theja Maguluri
We consider the load balancing system under Poisson arrivals, exponential services, and homogeneous servers. Upon arrival, a job is to be routed to one of the servers, where it is…