Beta/M/1 Model for Machine Type Communication

Author

Xin Jian ; Xiaoping Zeng ; Yunjian Jia ; Li Zhang ; Yuan He

Author_Institution

Coll. of Commun. Eng., Chongqing Univ., Chongqing, China

Volume

17

Issue

3

fYear

2013

fDate

Mar-13

Firstpage

584

Lastpage

587

Abstract

In context of Machine Type Communication (MTC) applications, network has to face increased load as well as possible surges of MTC traffic due to massive concurrent data and signaling transmission, in which case the interarrival time distribution of MTC devices may follow Beta distribution. In this paper, we model the network with MTC applications as a Beta/M/1 queue model. By deducing the moment generation function´s analytical expression of Beta distributions with integral shape parameters, the full performance analysis of Beta/M/1 model is presented. The conclusions drawn from numerical analysis can be used as a preliminary guide to appropriately choose the model for different MTC application scenarios and promptly judge the effectiveness of the chosen model.

Keywords

mobile communication; queueing theory; statistical distributions; telecommunication traffic; Beta/M/1 queue model; MTC traffic; beta distribution; integral shape parameter; interarrival time distribution; machine type communication; moment generation function; Analytical models; Equations; Mathematical model; Numerical models; Performance analysis; Servers; Shape; G/M/1 queue model; Machine Type Communication; beta distribution;

fLanguage

English

Journal_Title

Communications Letters, IEEE

Publisher

ieee

ISSN

1089-7798

Type

jour

DOI

10.1109/LCOMM.2013.012213.122637

Filename

6423760