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math.PR2020★ 5 cited
High order steady-state diffusion approximations
Anton Braverman, J. G. Dai, Xiao Fang
We derive and analyze new diffusion approximations of stationary distributions of Markov chains that are based on second- and higher-order terms in the expansion of the Markov chai…
math.PR2016★ 17 cited
Empty-car routing in ridesharing systems
Anton Braverman, J. G. Dai, Xin Liu +1
This paper considers a closed queueing network model of ridesharing systems such as Didi Chuxing, Lyft, and Uber. We focus on empty-car routing, a mechanism by which we control car…