Anton Braverman

Stein’s method for steady-state diffusion approximations of

We consider

M/\mathit{Ph}/n+M

M/Ph/n+M

systems

queueing systems in steady state. We prove that the Wasserstein distance between the stationary distribution of the normalized system size process and that of a piecewise Ornstein-Uhlenbeck (OU) process is bounded by

Networks of Common Asset Holdings: Aggregation and Measures of Vulnerability

C/\sqrt{\lambda}

Stein's method for steady-state diffusion approximations

, where the constant

Fluid-Model-Based Car Routing for Modern Ridesharing Systems

C

Heavy Traffic Approximation for the Stationary Distribution of a Generalized Jackson Network: The BAR Approach

is independent of the arrival rate

Stein’s method for steady-state diffusion approximations: An introduction through the Erlang-A and Erlang-C models

\lambda

Empty-car routing in ridesharing systems

and the number of servers

Steady-state analysis of the Join the Shortest Queue model in the Halfin-Whitt regime

n