Some approximate equilibrium results for the no-queue system
Some Bivariate Models for Traffic Accidents
Some martingales in dams with Poisson input and release
Some reflections on the renewal-theory paradox in queueing theory.
Stationary inequalities for dams with content-dependent release rate
Steady state and scaling limit for a traffic congestion model
In a general model (AIMD) of transmission control protocol (TCP) used in internet traffic congestion management, the time dependent data flow vector x(t) > 0 undergoes a biased random walk on two distinct scales. The amount of data of each component xi(t) goes up to xi(t)+a with probability 1-ζi(x) on a unit scale or down to γxi(t), 0 < γ < 1 with probability ζi(x) on a logarithmic scale, where ζi depends on the joint state of the system x. We investigate the long time behavior, mean field...
Stochastic model of accelerated testing methods of fatigue