2 papers
math.PR2025
Large Deviation Asymptotics for the Supermarket Model with Growing Choices
Amarjit Budhiraja, Ruoyu Wu
We consider the Markovian supermarket model with growing choices, where jobs arrive at rate and each of parallel servers processes jobs in its queue at rate . Each i…
math.PR2025
Moderate Deviation Principle for Join-The-Shortest-Queue-d Systems
Zhenhua Wang, Ruoyu Wu
The Join-the-Shortest-Queue-d routing policy is considered for a large system with servers. Moderate deviation principles (MDP) for the occupancy process and the empirical queu…