×

System modeling and performance analysis of the power saving class type II in BWA networks. (English) Zbl 1284.68090

Summary: For reducing the energy consumption of the Mobile Station in mobile Broadband Wireless Access networks, IEEE 802.16 offers three kinds of sleep mode operations called power saving classes type I, type II and type III. In order to investigate mathematically the inherent relationships between the performance measures and the system parameters, we propose in this paper a novel method for modeling the sleep mode with the power saving class type II in IEEE 802.16 and analyzing the performance of this sleep mode. Considering the attractive feature that some data frames can be transmitted during the listening state, we present a queueing model with two kinds of busy mechanisms to capture the working principle of the sleep mode operations with the power saving class type II. With the first and higher derivatives of the probability generating functions, we can give the averages and the standard deviations for the system performance using the diffusion approximation for the operating process of the system. We also propose methods for measuring the system performance in terms of the switching ratio, the energy saving ratio, and the average response time of data frames, as well as giving the expressions for these performance measures. Numerical results are provided with analysis and simulation to show the average performance measures, standard deviations and the cost function with different system loads. Moreover, we construct a cost function with the aim of determining the optimal time length of the sleep window to minimize the cost function.

MSC:

68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
49K35 Optimality conditions for minimax problems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Chen T., Chen J.: Extended maximizing unavailability interval (eMUI): maximizing energy saving in IEEE 802.16e for mixing Type I and Type II PSCs. IEEE Commun. Lett. 13(2), 151-153 (2009) · doi:10.1109/LCOMM.2009.081725
[2] Chen T., Chen J., Chen Y.: Maximizing unavailability interval for energy saving in IEEE 802.16e wireless MANs. IEEE Trans. Mob. Comput. 8(4), 465-487 (2009)
[3] Han, K., Choi, S.: Performance analysis of sleep mode operation in IEEE 802.16e mobile broadband wireless access systems. In: Proceedings of the Vehicular Technology Conference, pp. 1141-1145 (2006) · Zbl 1175.90108
[4] Hwang E., Kim K., Son J., Choi D.: The power saving mechanism with binary exponential traffic indications in the IEEE 802.16e/m. Queueing Syst. 62(3), 197-227 (2009) · Zbl 1175.90108 · doi:10.1007/s11134-009-9122-0
[5] IEEE 802.16-2009: IEEE Standard for Local and Metropolitan Area Networks, Part 16: Air Interface for Fixed and Mobile Broadband Wireless Access Systems, IEEE Standards Association (2009)
[6] Jin S., Yue W.: Performance analysis for power saving class type III of IEEE 802.16 in WiMAX. Comput. Netw. 55(16), 3734-3743 (2011) · doi:10.1016/j.comnet.2011.06.006
[7] Khaitan S., McCalley J., Raju M.: Numerical methods for on-line power system load flow analysis. Energy Syst. 1(3), 273-289 (2010) · doi:10.1007/s12667-010-0013-6
[8] Knopov P., Pardalos P.: Simulation and Optimization Methods in Risk and Reliability Theory. Nova Science Publishers, New York (2009) · Zbl 1184.62177
[9] Kong, L., Tsang, D.H.: Performance study of power saving classes of Types I and II in IEEE 802.16e. In: Proceedings of the 31st IEEE Conference on Local Computer Networks, pp. 20-27 (2006)
[10] Lee, B., Lee, H., Rhee, S., et al.: Cumulative-TIM method for the sleep mode in IEEE 802.16e wireless. In: Proceedings of the International Conference on Information Networking, pp. 502-511 (2006)
[11] Lee J., Cho D.: An optimal power-saving class II for VoIP traffic and its performance evaluations in IEEE 802.16e. Comput. Commun. 31(14), 3204-3208 (2008) · doi:10.1016/j.comcom.2008.04.029
[12] Min M., Pardalos P.: Total energy optimal multicasting in wireless ad hoc networks. J. Comb. Optim. 13(4), 365-378 (2007) · Zbl 1146.90361 · doi:10.1007/s10878-006-9033-5
[13] Resende M., Pardalos P.: Handbook of Optimization in Telecommunications. Springer, Berlin (2006) · Zbl 1100.90001 · doi:10.1007/978-0-387-30165-5
[14] Tian N., Zhang G.: Vacation Queueing Models—Theory and Applications. Springer, Dordrecht (2006) · Zbl 1104.60004
[15] Tseng Y., Chen J., Yang Y.: Managing power saving classes in IEEE 802.16 wireless MANs: a fold-and-demultiplex method. IEEE Trans. Mob. Comput. 10(9), 1237-1247 (2011) · doi:10.1109/TMC.2010.215
[16] Wu W., Gao X., Pardalos P., Du D.: Wireless networking, dominating and packing. Optim. Lett. 4(3), 347-358 (2010) · Zbl 1201.90046 · doi:10.1007/s11590-009-0151-8
[17] Xiao Y.: Energy saving mechanism in the IEEE 802.16e wireless MAN. IEEE Commun. Lett. 9(7), 595-597 (2005) · doi:10.1109/LCOMM.2005.1461675
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.