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Transient Analysis of a Single-Server Queue with Batch Arrivals Using Modeling and Functions akin to the Modified
| Content Provider | CiteSeerX |
|---|---|
| Author | Oduol, Vitalice K. Ardil, Cemal |
| Abstract | �Abstract—The transient analysis of a queuing system with fixed-size batch Poisson arrivals and a single server with exponential service times is presented. The focus of the paper is on the use of the functions that arise in the analysis of the transient behaviour of the queuing system. These functions are shown to be a generalization of the modified Bessel functions of the first kind, with the batch size B as the generalizing parameter. Results for the case of single-packet arrivals are obtained first. The similarities between the two families of functions are then used to obtain results for the general case of batch arrival queue with a batch size larger than one. Keywords—batch arrivals, generalized Bessel functions, queue transient analysis, time-varying probabilities. T I. |
| File Format | |
| Journal | Bessel Functions”, International Journal of Applied Science, Engineering and Technology |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Transient Analysis Single-server Queue Batch Arrival Using Modeling Queuing System Batch Size Single Server Modified Bessel Function Fixed-size Batch Poisson Arrival Exponential Service Time Batch Arrival Queue Single-packet Arrival General Case Time-varying Probability Queue Transient Analysis Generalizing Parameter Bessel Function Keywords Batch Arrival Transient Behaviour First Kind |
| Content Type | Text |
| Resource Type | Article |
