American Institute of Mathematical Sciences

Advanced
July  2011, 7(3): 717-733. doi: 10.3934/jimo.2011.7.717

Performance evaluation of a power saving mechanism in IEEE 802.16 wireless MANs with bi-directional traffic

Shunfu Jin 1, , Wuyi Yue 2, and  Xuena Yan 1,

1. 

College of Information Science and Engineering, Yanshan University, Qinhuangdao 066004, China
2. 

Department of Intelligence and Informatics, Konan University, Kobe 658-8501

Received  September 2010 Revised  May 2011 Published  June 2011

One of the most important ways for extending the battery lifetime of Mobile Stations (MSs) in a wireless Metropolitan Area Network (MAN) is to conserve the power consumption effectively. When a power saving mechanism with the sleep mode in IEEE 802.16-2009 is used, the system will be in a sleep state and the energy will be saved if both the Uplink (UL) and the Downlink (DL) are idle. In this paper, we present a new mathematical analysis for the system model with synchronous multiple vacations to capture the working principle of the Power Saving Class (PSC) type III in IEEE 802.16-2009 by taking into account the bi-directional traffic (the UL traffic and DL traffic together). By using the methods of a semi-Markov process and a two-dimensional embedded Markov chain, we derive the steady-state probability distribution of the system. Noting that the transmission of UL data frame will not be influenced by the sleep mode, but the sleep mode can be terminated by the arrival of UL data frames, we give the formula for the average delay of the DL data frames taking the bi-directional traffic into consideration. Moreover, we also present the expression for the energy saving ratio. Analytical results and simulation results are provided to investigate and validate the influence of the system parameters on the system performance. Finally, considering the trade-off between the average delay of data frames and the energy saving ratio, we develop a cost function to determine the optimal length of the sleep window in order to maximize the energy saving ratio while satisfying the Quality of Service (QoS) constraint on the average delay of data frames.
Keywords: PSC type III, bi-directional traffic, Sleep mode, synchronous multiple vacations, IEEE 802.16-2009, semi-Markov process..
Mathematics Subject Classification: Primary: 68M10, 68M20; Secondary: 60K2.
Citation: Shunfu Jin, Wuyi Yue, Xuena Yan. Performance evaluation of a power saving mechanism in IEEE 802.16 wireless MANs with bi-directional traffic. Journal of Industrial and Management Optimization, 2011, 7 (3) : 717-733. doi: 10.3934/jimo.2011.7.717
References:
[1]

S. Ahmadi, An overview of next-generation mobile WiMAX technology, IEEE Communications Magazine, 6 (2009), 84-98. doi: 10.1109/MCOM.2009.5116805.

[2]

A. Anisimov, S. Andreev and A. Turlikov, IEEE 802.16m energy-efficient sleep mode operation analysis with mean delay restriction, Proc. of the International Conference on Ultra Modern Telecommunications, (2009), 1-4. doi: 10.1109/ICUMT.2009.5345481.

[3]

S. Baek and B. Choi, Performance analysis of power saving class of type I with both downlink and uplink traffics in IEEE 802.16e, Proc. of the Mobile Lightweight Wireless Systems, (2009), 196-209.

[4]

Q. Hu and W. Yue, Optimal control for resource allocation in discrete event systems, Journal of Industrial and Management Optimization, 2 (2006), 63-80.

[5]

Z. Huo, W. Yue, N. Tian and S. Jin, Performance evaluation for the sleep mode in the IEEE 802.16e based on a queueing model with close-down time and multiple vacations, Journal of Industrial and Management Optimization, 5 (2009), 511-524. doi: 10.3934/jimo.2009.5.511.

[6]

E. Hwang, K. Kim, J. Son and B. Choi, The power saving mechanism with periodic traffic indications in the IEEE 802.16e/m, IEEE Transactions on Vehicular Technology, 59 (2009), 319-334. doi: 10.1109/TVT.2009.2032193.

[7]

E. Hwang, K. Kim, J. Son and B. Choi, The power saving mechanism with binary exponential traffic indications in the IEEE 802.16e/m, Queueing Systems, 62 (2009), 197-227. doi: 10.1007/s11134-009-9122-0.

[8]

IEEE 802.16-2009, "IEEE Standard for Local and Metropolitan Area Networks, Part 16: Air Interface for Fixed and Mobile Broadband Wireless Access Systems," 2009.

[9]

S. Jin and W. Yue, Performance analysis and evaluation for power saving class type III in IEEE 802.16e network, Journal of Industrial and Management Optimization, 6 (2010), 691-708. doi: 10.3934/jimo.2010.6.691.

[10]

S. Jin and W. Yue, Performance analysis for a system of connection oriented Internet service with a release delay, IEICE Transactions on Communications, E90-B (2007), 3083-3094.

[11]

L. Kong and D. H. K. Tsang, Performance study of power saving classes of type I and II in IEEE 802.16e, Proc. of IEEE Vehicular Technology Conference, (2006), 20-27.

[12]

V. Paxson and S. Floyd, Wide area traffic: The failure of Poisson modeling, IEEE/ACM Transactions on Networking, 3 (1995), 226-244. doi: 10.1109/90.392383.

[13]

Z. Niu, Y. Zhu and B. Vilius, A phase-type based Markov chain model for IEEE 802.16e sleep mode and its performance analysis, Proc. of International Teletraffic Congress, (2007), 791-802.

[14]

Z. Saffer and M. Telek, Analysis of BMAP vacation queue and its application to IEEE 802.16e sleep mode, Journal of Industrial and Management Optimization, 6 (2010), 661-690. doi: 10.3934/jimo.2010.6.661.

[15]

H. Takagi, "Queueing Analysis: A Foundation of Performance Evaluation," Vol. 3, Discrete-Time Systems, North-Holland Publishing Co., Amsterdam, 1993.

[16]

N. Tian and G. Zhang, "Vacation Queueing Models. Theory and Applications," Insternational Series in Operations Research & Management Science, Springer, New York, 2006.

[17]

F. Tobagi and L. Kleinrock, Packet switching in radio channels: Part IV-stability considerations and dynamic control in carrier sense multiple access, IEEE Transactions on Communications, 10 (1977), 1103-1119. doi: 10.1109/TCOM.1977.1093733.

[18]

K. De Turck, S. Andreev, S. De Vuyst, et al., Performance of the IEEE 802.16e sleep mode mechanism in the presence of bidirectional traffic, Proc. of the International Conference on Communications, (2009), 1-5.

[19]

Y. Xiao, Energy saving mechanism in the IEEE 802.16e wireless MAN, IEEE Communications Letters, 9 (2005), 595-597. doi: 10.1109/LCOMM.2005.1461675.

show all references

References:
[1]

S. Ahmadi, An overview of next-generation mobile WiMAX technology, IEEE Communications Magazine, 6 (2009), 84-98. doi: 10.1109/MCOM.2009.5116805.

[2]

A. Anisimov, S. Andreev and A. Turlikov, IEEE 802.16m energy-efficient sleep mode operation analysis with mean delay restriction, Proc. of the International Conference on Ultra Modern Telecommunications, (2009), 1-4. doi: 10.1109/ICUMT.2009.5345481.

[3]

S. Baek and B. Choi, Performance analysis of power saving class of type I with both downlink and uplink traffics in IEEE 802.16e, Proc. of the Mobile Lightweight Wireless Systems, (2009), 196-209.

[4]

Q. Hu and W. Yue, Optimal control for resource allocation in discrete event systems, Journal of Industrial and Management Optimization, 2 (2006), 63-80.

[5]

Z. Huo, W. Yue, N. Tian and S. Jin, Performance evaluation for the sleep mode in the IEEE 802.16e based on a queueing model with close-down time and multiple vacations, Journal of Industrial and Management Optimization, 5 (2009), 511-524. doi: 10.3934/jimo.2009.5.511.

[6]

E. Hwang, K. Kim, J. Son and B. Choi, The power saving mechanism with periodic traffic indications in the IEEE 802.16e/m, IEEE Transactions on Vehicular Technology, 59 (2009), 319-334. doi: 10.1109/TVT.2009.2032193.

[7]

E. Hwang, K. Kim, J. Son and B. Choi, The power saving mechanism with binary exponential traffic indications in the IEEE 802.16e/m, Queueing Systems, 62 (2009), 197-227. doi: 10.1007/s11134-009-9122-0.

[8]

IEEE 802.16-2009, "IEEE Standard for Local and Metropolitan Area Networks, Part 16: Air Interface for Fixed and Mobile Broadband Wireless Access Systems," 2009.

[9]

S. Jin and W. Yue, Performance analysis and evaluation for power saving class type III in IEEE 802.16e network, Journal of Industrial and Management Optimization, 6 (2010), 691-708. doi: 10.3934/jimo.2010.6.691.

[10]

S. Jin and W. Yue, Performance analysis for a system of connection oriented Internet service with a release delay, IEICE Transactions on Communications, E90-B (2007), 3083-3094.

[11]

L. Kong and D. H. K. Tsang, Performance study of power saving classes of type I and II in IEEE 802.16e, Proc. of IEEE Vehicular Technology Conference, (2006), 20-27.

[12]

V. Paxson and S. Floyd, Wide area traffic: The failure of Poisson modeling, IEEE/ACM Transactions on Networking, 3 (1995), 226-244. doi: 10.1109/90.392383.

[13]

Z. Niu, Y. Zhu and B. Vilius, A phase-type based Markov chain model for IEEE 802.16e sleep mode and its performance analysis, Proc. of International Teletraffic Congress, (2007), 791-802.

[14]

Z. Saffer and M. Telek, Analysis of BMAP vacation queue and its application to IEEE 802.16e sleep mode, Journal of Industrial and Management Optimization, 6 (2010), 661-690. doi: 10.3934/jimo.2010.6.661.

[15]

H. Takagi, "Queueing Analysis: A Foundation of Performance Evaluation," Vol. 3, Discrete-Time Systems, North-Holland Publishing Co., Amsterdam, 1993.

[16]

N. Tian and G. Zhang, "Vacation Queueing Models. Theory and Applications," Insternational Series in Operations Research & Management Science, Springer, New York, 2006.

[17]

F. Tobagi and L. Kleinrock, Packet switching in radio channels: Part IV-stability considerations and dynamic control in carrier sense multiple access, IEEE Transactions on Communications, 10 (1977), 1103-1119. doi: 10.1109/TCOM.1977.1093733.

[18]

K. De Turck, S. Andreev, S. De Vuyst, et al., Performance of the IEEE 802.16e sleep mode mechanism in the presence of bidirectional traffic, Proc. of the International Conference on Communications, (2009), 1-5.

[19]

Y. Xiao, Energy saving mechanism in the IEEE 802.16e wireless MAN, IEEE Communications Letters, 9 (2005), 595-597. doi: 10.1109/LCOMM.2005.1461675.

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