Multi-server queuing analysis can be used to estimate average wait times and queue lengths at toll and parking exit plazas given arrival rates, number of servers, and service rates. These queuing models approximate the performance of queuing systems with multiple queues. While the queuing equations are useful where there are multiple servers, they do not fully reflect the operation of a toll pl...

In this work, we suggest an analytic technique with triangular fuzzy and intuitionistic numbers to compute the membership functions of considerable state-executing proportion in Erlang service models. The inter-entry rate, which is Poisson, admin (service) Erlang, are both fuzzy-natured case, FEk designating probabilistic deviation k exponentially phase. numeric antecedents shown validate model...

 In this paper we develop queuing model results for a single “automated” workstation that receives jobs from another automated workstation. An automated workstation is a server with deterministic processing times that experiences random operating times between failures, and then subsequent random repair times. We develop analytical expressions for the queue size distribution, the average numbe...

To overcome quality of experience degradation due to the saturation of the uplink of ADSL lines, we propose in this paper the Shortest Queue First (SQF) queuing discipline to sort packets out of the buffer associated with the uplink of a home gateway. SQF is a flow aware queuing discipline which consists of serving those flows creating the less backlog in the buffer. We show experimental result...

Video data forms the major traffic in today’s internet. Quality Of internet video has a great impact on user engagement. Video encoding and streaming over wireless networks become a big concern. Real time video service requires low end-to-end delay, which mainly consists of video encoding delay, queuing delay, and transmission delay. The major concern is to reduce the queuing delay which has hi...

In this paper we study the relations between multiclass BCMP-like service stations and generalized stochastic Petri nets (GSPN). Representing queuing discipline with GSPN models is not easy. We focus on representing multi-class queuing systems with different queuing disciplines by defining appropriate finite GSPN models. Note that queuing discipline in general affects performance measures in mu...

This paper defines the building blocks of and derives basic queuing systems. It begins with a review of some probability theory and then defines processes used to analyze queuing systems, in particular the birth-death process. A few simple queues are analyzed in terms of steady-state derivation before the paper discusses some attempted field research on the topic.

Many studies have indicated the importance of capturing scaling properties when modeling traffic loads; however, the influence of long-range dependence (LRD) and marginal statistics still remains on unsure footing. In this paper, we study these two issues by introducing a multiscale traffic model and a novel multiscale approach to queuing analysis. The multifractal wavelet model (MWM) is a mult...

Queuing theory is a major topic of applied mathematics that deals with phenomenon of waiting and arises from the use of powerful mathematical analysis to describe production processes. This study examines the use of production capacity of facilities in Fujitsu Components (M) Sdn. Bhd. based on queuing theory. The aim of this study is to achieve an appropriate queuing analytical model and determ...