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

• • 上一篇    下一篇

具有时变马尔可夫调制服务速率的M2M小数据业务排队分析模型

迟学芬, 胡广, 陈洁, 董雯, 王春悦   

  1. 吉林大学 通信工程学院,长春 130012
  • 收稿日期:2013-11-27 出版日期:2015-05-01 发布日期:2015-05-01
  • 作者简介:迟学芬(1962-),女,教授,博士生导师.研究方向:宽带无线IP网络的理论和技术,网络建模.
  • 基金资助:
    吉林省科技发展计划项目(20130413052GH)

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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摘要： 将机器类通信(M2M)监控视频类业务(SVS)优先占用网络带宽时,网络对M2M小数据类业务(SDS)的服务过程抽象为时变马尔可夫调制服务率的包级排队系统,研究了网络对SDS的服务能力以及SVS对SDS的制约。求解了叠加在SDS随机到达过程上的多态马尔可夫调制泊松过程(MMPP)环境状态概率空间。运用第一步分析法和LS变换,分析了在随机环境过程下SDS的复杂随机服务过程,求解了SDS包服务时间的均值和方差。最后,通过数值仿真给出了SVS的突发度、到达率和服务率对SDS服务特性的影响。

关键词: 通信技术, 通信网络建模, 机器类通信, beta分布, 时变服务率, 马尔可夫过程, 排队论

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

中图分类号: 

  • TN915
[1] Boxma O J,Kurkova I A. The M/G/1 queue with two service speeds[J]. Advances in Applied Probability, 2001,33(2):520-540.
[2] Pan Quan-ru. The research and application of M/M/1/N queuing model with variable input rates, variable service rates and impatient customers[J]. World Academy of Science, Engineering and Technology,2011,51:1037-1040.
[3] Lebedev E A, Ponomarov V D. Retrial queues with variable service rate[J]. Cybernetics and Systems Analysis,2011,47(3):434-441.
[4] Zhou Y P,Gans N. A single-server queue with Markov modulated service times[EB/OL].[2013-09-15].URL:http://fic.wharton.upenn.edu/fic/papers/99/9940.pdf.
[5] Allen F, Ming L. A queuing system with time varying rates[J]. Statistics and Probability Letters, 2009,80(5-6):386-389.
[6] Mahabhashyam S R,Gautam N. On queues with markov modulated service rates[J]. Queuing Systems, 2005,51:89-113.
[7] 迟学芬,石佳琳,张嘉盛,等. 异质业务到达下共享服务器系统服务模式研究[J]. 北京邮电大学学报,2013,36(6):75-78.
Chi Xue-fen,Shi Jia-lin, Zhang Jia-sheng,et al. On service mode of a server sharing system with heterogeneous services arrival[J]. Journal of Beijing University of Posts and Telecommunications,2013,36(6):75-78.
[8] 迟学芬,吴迪,刘丹. 带有门限的IBP+MMBP/Geo/1/K 休假排队系统[J]. 吉林大学学报:工学版,2013,43(3):781-787.
Chi Xue-fen, Wu Di, Liu Dan. IBP+MMBP/Geo/1/K vacation queuing system with threshold[J]. Journal of Jilin University (Engineering and Technology Edition),2013,43(3):781-787.
[9] Jian X,Zeng X P,Jia Y J,et al. Beta/M/1 model for machine type communication[J]. IEEE Communication Letters,2013,17(3):584-587.
[10] Kang S H, Kim Y H,Sung D K,et al. An application of markovian arrival process (MAP) to modeling superposed ATM cell streams[J]. IEEE Transactions on Communications,2002,50(4):633-642.
[11] Kulkarni V G. Modeling and Analysis of Stochastic Systems[M]. Second Edition.Boca Raton:CRC Press,1995.
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