We study a G/GI/1 single-server queuing model with i.i.d. service times that are independent of stationary process inter-arrival times. show the distribution waiting time converges to law as tends infinity provided satisfy Gärtner-Ellis type condition. A convergence rate is given and large numbers established. These results provide tools for statistical analysis such systems, transcending stand...

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...

Most of the real queuing systems include special properties and constraints, which can not be analyzed directly by using the results of solved classical queuing models. Lack of Markov chains features, unexponential patterns and service constraints, are the mentioned conditions. This paper represents an applied general algorithm for analysis and optimizing the queuing systems. The algorithm stag...

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....