# American Institute of Mathematical Sciences

October  2012, 8(4): 841-860. doi: 10.3934/jimo.2012.8.841

## Analysis of discontinuous reception with both downlink and uplink packet arrivals in 3GPP LTE

 1 School of Electrical Engineering, Korea University, Inchon-ro, Seongbuk-gu, Seoul 136-713, South Korea 2 Department of Mathematics, Sungkyunkwan University, Seobu-ro, Jangan-gu, Suwon 440-746, South Korea

Received  September 2011 Revised  July 2012 Published  September 2012

We mathematically analyze the discontinuous reception (DRX), a power saving mechanism in 3GPP LTE where both downlink and uplink packet arrivals at a user equipment (UE) and an evolved node B (eNB) follow Poisson processes. We construct a 2-dimensional discrete time embedded Markov chain. We obtain the average power consumption, average downlink delay and average uplink delay. The analytical results match with the simulation results very well. We show that there is a tradeoff between the power consumption and the downlink delay, i.e., the average power consumption decreases and the average downlink delay increases as the DRX cycle increases or the inactivity time decreases. We also see that a presence of uplink packet decreases the downlink packet delay, but increases the power consumption.
Citation: Sangkyu Baek, Bong Dae Choi. Analysis of discontinuous reception with both downlink and uplink packet arrivals in 3GPP LTE. Journal of Industrial and Management Optimization, 2012, 8 (4) : 841-860. doi: 10.3934/jimo.2012.8.841
##### References:
 [1] , "3GPP TS 36.321: E-UTRA Medium Access Control (MAC) Protocol Specificatio,", Rel. 8, (2009). [2] S. Baek and B. D. Choi, Performance analysis of power saving class of type 1 with both downlink and uplink traffics in IEEE 802.16e, Mobile Lightweight Wireless Systems, Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 13 (2009), 196-209. [3] S. Baek and B. D. Choi, "Performance Analysis of Sleep Mode Operation in IEEE 802.16m with both Uplink and Downlink Packet Arrivals," Proc. IEEE CAMAD 2011, (2011). [4] C. Bontu and E. Illidge, DRX mechanism for power saving in LTE, IEEE Communications magazine, 47 (2009), 48-55. doi: 10.1109/MCOM.2009.5116800. [5] , "Report ITU-R M.2134 Requirements Related to Technical Performance for IMT-Advanced Radio Interface(s)," 2008. [6] , "Long Term Evolution (LTE): A Technical Overview,", Technical White Paper, (2007). [7] Y. Mihov, K. Kassev and B. Tsankov, Analysis and performance evaluation of the DRX Mmechanism for Ppower saving in LTE, Proc. IEEE 26th Convention of electrical and electronics engineers in israel (IEEEI), 2010, (2010), 520-524. [8] , "Datasheet: SQN1130 System-on-Chip for WiMAX Mobile Stations," Sequans Communications. [9] H. Takagi, "Queueing Analysis," vol. 1, Vacation and Priority Systems, North-Holland, Amsterdam, 1991. [10] J. Wigard, T. Kolding, L. Dalsgaard and C. Coletti, On the user performance of LTE UE power savings schemes with discontinuous reception in LTE, Proc. Communications workshops, ICC workshops 2009, (2009), 1-5. [11] Y. Xiao, Performance analysis of an energy saving mechanism in the IEEE 802.16e Wireless MAN, Proc. Consumer Communications and Networking Conference(CCNC), 1 (2006), 8-10. [12] S. R. Yang, and Y. B. Lin, Modeling of UMTS discontinuous reception mechanism, IEEE Transactions on Wireless Communications, 4 (2005), 312-319. doi: 10.1109/TWC.2004.840259. [13] S. Yang, S. Yan and H. Hung, Modeling UMTS power saving with bursty packet data traffic, IEEE Transactions on Mobile Computing, 6 (2007), 1398-1409. doi: 10.1109/TMC.2007.1072. [14] Y. Zhang and M. Fujise, Energy management in the IEEE 802.16e MAC, IEEE Commun. Lett., 10 (2006), 311-313. doi: 10.1109/LCOMM.2006.1613757. [15] L. Zhou, H. Xu, H. Tian, Y. Gao, L. Du and L. Chen, Performance analysis of power saving mechanism with adjustable DRX cycle in 3GPP LTE, Proc. IEEE VTC 2008-Fall, (2008), 1-5.

show all references

##### References:
 [1] , "3GPP TS 36.321: E-UTRA Medium Access Control (MAC) Protocol Specificatio,", Rel. 8, (2009). [2] S. Baek and B. D. Choi, Performance analysis of power saving class of type 1 with both downlink and uplink traffics in IEEE 802.16e, Mobile Lightweight Wireless Systems, Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, 13 (2009), 196-209. [3] S. Baek and B. D. Choi, "Performance Analysis of Sleep Mode Operation in IEEE 802.16m with both Uplink and Downlink Packet Arrivals," Proc. IEEE CAMAD 2011, (2011). [4] C. Bontu and E. Illidge, DRX mechanism for power saving in LTE, IEEE Communications magazine, 47 (2009), 48-55. doi: 10.1109/MCOM.2009.5116800. [5] , "Report ITU-R M.2134 Requirements Related to Technical Performance for IMT-Advanced Radio Interface(s)," 2008. [6] , "Long Term Evolution (LTE): A Technical Overview,", Technical White Paper, (2007). [7] Y. Mihov, K. Kassev and B. Tsankov, Analysis and performance evaluation of the DRX Mmechanism for Ppower saving in LTE, Proc. IEEE 26th Convention of electrical and electronics engineers in israel (IEEEI), 2010, (2010), 520-524. [8] , "Datasheet: SQN1130 System-on-Chip for WiMAX Mobile Stations," Sequans Communications. [9] H. Takagi, "Queueing Analysis," vol. 1, Vacation and Priority Systems, North-Holland, Amsterdam, 1991. [10] J. Wigard, T. Kolding, L. Dalsgaard and C. Coletti, On the user performance of LTE UE power savings schemes with discontinuous reception in LTE, Proc. Communications workshops, ICC workshops 2009, (2009), 1-5. [11] Y. Xiao, Performance analysis of an energy saving mechanism in the IEEE 802.16e Wireless MAN, Proc. Consumer Communications and Networking Conference(CCNC), 1 (2006), 8-10. [12] S. R. Yang, and Y. B. Lin, Modeling of UMTS discontinuous reception mechanism, IEEE Transactions on Wireless Communications, 4 (2005), 312-319. doi: 10.1109/TWC.2004.840259. [13] S. Yang, S. Yan and H. Hung, Modeling UMTS power saving with bursty packet data traffic, IEEE Transactions on Mobile Computing, 6 (2007), 1398-1409. doi: 10.1109/TMC.2007.1072. [14] Y. Zhang and M. Fujise, Energy management in the IEEE 802.16e MAC, IEEE Commun. Lett., 10 (2006), 311-313. doi: 10.1109/LCOMM.2006.1613757. [15] L. Zhou, H. Xu, H. Tian, Y. Gao, L. Du and L. Chen, Performance analysis of power saving mechanism with adjustable DRX cycle in 3GPP LTE, Proc. IEEE VTC 2008-Fall, (2008), 1-5.
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