 Elena Yudovina

Elena Yudovina is a mathematician whose work includes the theory of stochastic networks. With Frank Kelly, she wrote Stochastic Networks by Frank Kelly and Elena Yudovina, connecting queueing theory, loss networks, congestion control and distributed optimization. The author's book page verifies the joint authorship and 2014 publication.^[ref]

A central question is how local service or routing rules affect an entire network. The book's M/M/1 queue illustrates the danger of operating near capacity: with arrival rate $\lambda$, service rate $\mu$ and $\rho =\lambda /\mu <1$, mean queue population is $\rho /(1-\rho )$. Modest changes in load can therefore cause large changes in delay.^[ref]