Analysis of queueing-time distributions for MAP/D-N/1 queue

作者：Singh Gagandeep^*; Gupta U C; Chaudhry M L

来源：International Journal of Computer Mathematics, 2014, 91(9): 1911-1930.

DOI：10.1080/00207160.2013.867021

• deterministic
• queueing-time
• Markovian arrival process
• roots
• system-time

With the advent of highly integrated transmission networks, the transmission of data, such as audio, video, video streaming are transmitted over a common medium in smaller file sizes. These files have variable transmission time requirement which is of deterministic in nature. Further, the traffic generated from various sources is bursty and correlated. This particular scenario can be best modelled as a single-server queueing system with arrivals following a Markovian arrival process and service-time deterministic distribution taking one of the N possible values. For this model, we present a closed-form ( in terms of roots) analysis for evaluating queueing/system-time distributions using an inversion method which is based on the roots of associated characteristic equation. Several numerical examples are presented with complete discussion.

• 出版日期2014