Non-Equilibrium Statistical Physics of Currents in Queuing Networks

Longest Path in Networks of Queues in the Steady-State

Due to the importance of longest path analysis in networks of queues, we develop an analytical method for computing the steady-state distribution function of longest path in acyclic networks of queues. We assume the network consists of a number of queuing systems and each one has either one or infinite servers. The distribution function of service time is assumed to be exponential or Erlang. Fu...

MODELLING AND ANALYSIS OF A DISCRETE-TIME PRIORITY QUEUING COMPUTER NETWORK WITH PRIORITY JUMPS USING PROBABILITY GENERATING FUNCTIONS

Priority queues have a great importance in the study of computer communication networks in which different types of traffic require different quality of service standards. The discrete-time non-preemptive priority queuing model with priority jumps is proposed in this paper. On the basis of probability generating functions mean system contents and mean queuing delay characteristics are obtained....

Phase Transitions in the Queuing Networks and the Violation of the Poisson Hypothesis

We present examples of queuing networks that never come to equilibrium. That is achieved by constructing certain non-linear Markov evolutions, which are non-ergodic and possess eternal transience property. 2000 Math. Subj. Class. Primary 82C20; Secondary 60J25.

The application of DEA and queuing models to large scale computer networks

Statistical physics modeling of equilibrium adsorption of cadmium ions onto activated carbon, chitosan and chitosan/activated carbon composite

The adsorption ability of activated carbon, chitosan, and chitosan/activated carbon composite for cadmium separation from aqueous solution was analyzed via statistical physical modeling. The equilibrium data were analyzed by Langmuir, Hill, double layer model, and the multi-layer model with saturation isotherm models. Results showed that the multi-layer model with saturation could well describe...