What do you do to start reading probability stochastic processes and queueing theory the mathematics of computer performance model? Searching the book that you love to read first or find an interesting book that will make you want to read? Everybody has difference with their reason of reading a book. Actuary, reading habit must be from earlier. Many people may be love to read, but not a book. I...

The use of feedback control theory for performance guarantees in QoS-aware systems has gained much attention in recent years. In this paper, we investigate merging, within a single framework, the predictive power of queueing theory with the reactive power of feedback control to produce software systems with a superior ability to achieve QoS specifications in highly unpredictable environments. T...

A number of time-shared systems have recently been analyzed in the literature with methods from queueing theory. The quantity usually solved for is the average time spent in the system, conditioned on the total service time required (and also conditional on the priority class, if priority distinctions are considered). In this paper we consider a large class of time-shared systems and solve for ...

Internet traffic data is characterized by some unusual statistical properties, in particular, the presence of heavy-tailed variables. In

We find combinatorially the probability of having n customers in an M/M/1/c queueing system at an arbitrary time t when the arrival rate λ and the service rate μ are equal, including the case c = ∞. Our method uses pathcounting methods and finds a bijection between the paths of the type needed for the queueing model and paths of another type which are easy to count. The bijection involves some ...