吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (3): 966-972.doi: 10.13229/j.cnki.jdxbgxb201503041

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Analytical queuing model with time-varying Markov modulated service rate for M2M small data service

CHI Xue-fen, HU Guang, CHEN Jie, DONG Wen, WANG Chun-yue   

  1. College of Telecommunication Engineering, Jilin University, Changchun 130012,China
  • Received:2013-11-27 Online:2015-05-01 Published:2015-05-01

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Abstract: A packet-level queuing system with time-varying Markov modulated service rate was established to model the process that network serves Machine to Machine (M2M) Small Data Services (SDS) when M2M Surveillance Video Services (SVS) use network bandwidth preferentially. The main goal was to investigate the service capability of the network for SDS and the restrictions of SVS on SDS. Stochastic process theory, queuing theory and probability theory were used to analyze the environmental state probability space of the multi-state Markov-modulated Poisson Process (MMPP) attached to the random arrival process of SDS. Then first step analysis and Laplace-Stieltjes(LS) were applied to analyze the complex random service process of SDS under the multi-state MMPP random environment process, and the average and variance of the service time for SDS packets were calculated. Numerical simulation results demonstrate the impacts of burstiness, arrival rate and service rate of SVS on the service features of SDS.

Key words: communication technology, communication network modeling, Machine-type communication, beta distribution, time-varying service rate, Markov process, queuing theory

CLC Number: 

  • TN915
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