In this paper, we consider a queueing inventory system with batch arrival and service processes. Customers arrive in batches of sizes 1,2,…,k, according to marked compound Poisson process. We call customers as belonging j when there are individual that batch. The facility has waiting rooms for each category also room serve them. Except 1, all other have finite rooms. only limited number seats. ...

This article proposes a versatile model of a multiservice queueing system with elastic traffic. The model can provide a basis for an analysis of telecommunications and computer network systems, internet network systems in particular. The advantage of the proposed approach is a possibility of a determination of delays in network nodes for a number of selected classes of calls offered in modern t...

 In this paper, a bulk queueing system with multiple vacations under a restricted admissibility policy of arriving batches is considered. Arrivals occur in bulk according to Poisson process. But all the arrivals are not considered for service. During the busy period of the server, the arrivals are admitted with probability ‘ ’, whereas, with probability ‘  ’, they are admitted when the serve...

Robots are deployed by a Web search engine for collecting information from diierent Web servers in order to maintain the currency of its data base of Web pages. In this paper, we investigate the number of robots to be used by a search engine so as to maximize the currency of the data base without putting an unnecessary load on the network. We use a queueing model to represent the system. The ar...

We propose a traffic measurement system which uses trap and polling methods. To obtain its performance we consider a queueing model with a single server and evaluate a packet delay. In our multi-cast traffic, packets are modeled as a batch with a batch size distribution {gk}. The batch arrival process is observed as two processes on the basis of batch size. For a batch whose size is more than o...

Samorodnitsky, \Heavy tails and long range dependence in on/oo processes and associated uid models," preprint. JLA95g] P. R. Jelenkovi c and A. A. Lazar, \Subexponential asymptotics of a Markov-modulated random walk with queueing applications," \Stochastic theory of a data handling system with multiple sources," Bell Syst. Techn. \Tail probabilities for non-standard risk and queueing processes ...

Queueing models are widely used to establish stochastic models for QoS analysis of different communication environments. In [1] the authors created a queueing model to evaluate a sensor network environment with two quality classes of sources. The “Emergency” class represents the sources of very important communication (e.g. fire alarm), and the “Normal” class represents the standard communicati...

Dynamic scheduling problems consist of both challenging combinatorics, as found in classical scheduling problems, and stochastics due to uncertainty about the arrival times, resource requirements, and processing times of jobs. To address these two challenges, we investigate the integration of queueing theory and scheduling. The former reasons about long-run stochastic system characteristics, wh...