Abstract We provide a survey of so-called shot-noise queues: queueing models with the special feature that server speed is proportional to amount work it faces. Several results are derived for workload in an M / G /1 queue and some its variants. Furthermore, we give attention queues general workload-dependent service speed. also discuss linear stochastic fluid networks, which input process proc...

This paper investigates the queueing process of a bulk service queueing system under Bernoulli schedule. It also generalizes some known scenarios concerning the choice of service and re-service types. The queueing process is studied both in discrete time and in continuous time. Performance measures are derived and used to implement an optimal management policy of the system.

This paper deals with the Queueing theory and the analysis of queueing system by using probability curves. Starting with the basis of the distributions and important concepts of queueing theory, probability curves of Gamma distribution are used to analyse the banking service.

We propose and analyze a novel discrete-time queueing network model of a zero loss hub-based Optical Burst Switched (OBS) architecture, consisting of multiple input edge nodes and one destination edge node. The arrival process of bursts is slotted with bulk arrivals as generated by a Time and Burst-Length based burst aggregation algorithm. The queueing network is analyzed by decomposition. We o...

This paper studies the uid approximation (also known as the functional strong law-of-large-numbers) and the stability (positive Harris recurrent) for a multiclass queueing network. Both of these are related to the stabilities of a linear uid model, constructed from the rst-order parameters (i.e., long-run average arrivals, services and routings) of the queueing network. It is proved that the ui...

A queue is a waiting line (like customers waiting at a supermarket checkout counter); queueing theory is the mathematical theory of waiting lines. More generally, queueing theory is concerned with the mathematical modeling and analysis of systems that provide service to random demands. A queueing model is an abstract description of such a system. Typically, a queueing model represents (1) the s...

––This paper deals with the Queueing theory and the analysis of the efficiency of the queueing system of a bank in different locations. Starting with the historical back ground and important concepts of the queueing theory, we measured the effectiveness of banks in rural and town areas by using probability curves of arrivals and waiting times.