In this paper we consider a queuing system in which the service times of customers are independent and identically distributed random variables, the arrival process is stationary and has the property of orderliness, and the queue discipline is arbitrary. For this queuing system we obtain the steady state second moment of the queue size in terms of the stationary waiting time distribution of a s...

Bulk-service queueing systems have been widely applied in many areas real life. While single-server work some cases, multi-servers can efficiently handle most complex applications. Bulk-service, multi-server (compared to well-developed systems) are more and harder deal with, especially when the inter-arrival time distributions arbitrary. This paper deals with analytic computational analyses of ...

This Paper analyses a queuing model in which two type of customer units, one of single service (Unit I) and the other of bulk service (Unit II). Unit I has only one exponential server, which server singly. In Unit II, there are ‘c’ exponential server which serves par alley by general bulk service rule. These two units are connected in series for service but separated by a buffer of finite size ...

This report investigates the dynamics of RED queue management in the presence of FTP and Web-like TCP reno flows for scenarios with homogeneous and heterogeneous round trip times. We systematically derive quantitative guidelines and steady state models how to set the RED-parameters as a function of the scenario parameters bottleneck-bandwidth, round-trip-time, number of TCP flows in order to av...

This paper presents results for the queue-read, queue-write asynchronous parallel random access machine (qrqw asynchronous pram) model, which is the asynchronous variant of the qrqw pram model. The qrqw pram family of models, which was introduced earlier by the authors, permit concurrent reading and writing to shared memory locations, but each memory location is viewed as having a queue which c...

We obtain the queue length probability distribution at equilibrium for a multi-server, single queue with generalised exponential (GE) service time distribution and a Markov modulated compound Poisson arrival process (MMCPP)—i.e. a Poisson point process with bulk arrivals having geometrically distributed batch size whose parameters are modulated by a Markovian arrival phase process. This arrival...