44 citations · 90 across the 6 of their papers we have counts for
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math.PR2005★ 34 cited
Bridges and networks: Exact asymptotics
Robert D. Foley, David R. McDonald
We extend the Markov additive methodology developed in [Ann. Appl. Probab. 9 (1999) 110-145, Ann. Appl. Probab. 11 (2001) 596-607] to obtain the sharp asymptotics of the steady sta…
math.PR2005★ 44 cited
Large deviations of a modified Jackson network: stability and rough asymptotics
Robert D. Foley, David R. McDonald
Consider a modified, stable, two node Jackson network where server 2 helps server 1 when server 2 is idle. The probability of a large deviation of the number of customers at node o…