Calcium [Ca] is an important second messenger which plays an important role in signal transduction. There are several parameters that affect its concentration profile like buffer source etc. The effect of stationary immobile buffer on Ca concentration has been incorporated which is a very important parameter needed to be taken into account in order to make the model more realistic. Interdepende...

A new expression for cell/packet loss probability in an ATM and packet switched queue system with a finite buffer is presented. Cell and packet loss analysis is based on the new concept of a “buffer overflow cluster” and the overflow probability for a queue with an infinite buffer. This approach holds for a wide variety of long-range dependent traffic sources typical of wide-area networks, as w...

We investigate a model for buffer management of multi-class traffic into a finite shared buffer. A hierarchy of increasingly stronger linear programming relaxations for this model is proposed. The number of hierarchies equals the number of job classes. Each relaxation in the hierarchy is constructed by projecting the original achievable performance region into a polytope with fewer variables an...

Multiple time scale models are an attractive alternative to longrange dependence models via heavy tails. They are Markovian models, hence analyzable, and capture some of the key phenomena manifest in long-range dependence. We analyze extensions of the AMS model of ATM traffic. The models includes both open types (where connection arrive and leave), and closed, fixed-population types. Connection...

A packet buffer limited to a fixed number of packets (regardless of their lengths) is considered. The buffer is described as a finite FIFO queuing system fed by a Markovian Arrival Process (MAP) with service times forming a Semi-Markov (SM) process (MAP/SM /1/b in Kendall’s notation). Such assumptions allow us to obtain new analytical results for the queuing characteristics of the buffer. In th...

We study a service facility modelled as a single server queueing system with Poisson arrivals and limited or unlimited buffer size. In systems with unlimited buffer size, the service times have general distributions, whereas in finite buffered systems service times are exponentially distributed. Arriving customers enter if there is room in the facility and if they are willing to pay the posted ...

The problem of transmission scheduling over a correlated time-varying wireless channel is formulated as a Constrained Markov Decision Process. The model includes a transmission buffer and finite state Markov model for time-varying radio channel and incoming traffic. The resulting cross-layer optimization problem is formulated to minimize the transmission cost under the constraint on a buffer co...

In this paper, an overview of different analytic queueing models for traffic on road networks is presented. In the literature, it has been shown that queueing models can be used to adequately model uninterrupted traffic flows. This paper gives a broad review on this literature. Moreover, it is shown that the developed published methodologies (which are mainly single node oriented) can be extend...

This paper studies the impact of long-range-dependent (LRD) traffic on the performance of a network multiplexer. The network multiplexer is characterized by a multiplexing queue with a finite buffer and an M/G/∞ input process. Our analysis expresses the loss probability bounds using a simple relationship between loss probability and buffer full probability. Our analysis also derives an exact ex...

Over the last decade, importance sampling has been a popular technique for the efficient estimation of rare event probabilities. This paper presents an approach for applying balanced likelihood ratio importance sampling to the problem of quantifying the probability that the content of the second buffer in a two node tandem Jackson network reaches some high level before it becomes empty. Heurist...