A. Kurkova, I. et M. Suhov, Y., Malyshev's theory and JS-queues. Asymptotics of stationary probabilities, Annals of applied probability , 13(4), 2003, pp. 1313-1354
Malyshev's theory of asymptotics of stationary probabilities for a random walk in a quarter-plane is extended to cover the case of join-the-shorter-queues.