Transient Analysis of a Single-Server Queue with Batch Arrivals Using Modeling and Functions Akin to the Modified Bessel Functions, Vitalice K. Oduol, International Journal of Applied Science, Engineering and Technology, Vol.5, No.1, pp.34-39, 2009

Citation:
KALECHA DRODUOLVITALIS. "Transient Analysis of a Single-Server Queue with Batch Arrivals Using Modeling and Functions Akin to the Modified Bessel Functions, Vitalice K. Oduol, International Journal of Applied Science, Engineering and Technology, Vol.5, No.1, pp.34-39, 2009.". In: International Journal of Applied Science, Engineering and Technology, Vol.5, No.1, pp.34-39, May 2009. Kireti VM, Atinga JEO; 2009.

Abstract:

The paper considers a single-server queue with fixed-size batch Poisson arrivals and exponential service times, a model that is useful for a buffer that accepts messages arriving as fixed size batches of packets and releases them one packet at time. Transient performance measures for queues have long been recognized as being complementary to the steady-state analysis. 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. The paper exploits practical modelling to obtain a solution to the integral equation encountered in the analysis. Results obtained indicate that under heavy load conditions, there is significant disparity in the statistics between the transient and steady state values.

Notes:

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