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 & 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).   Google Scholar

[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, 13 (2009), 196.   Google Scholar

[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).   Google Scholar

[4]

C. Bontu and E. Illidge, DRX mechanism for power saving in LTE,, IEEE Communications magazine, 47 (2009), 48.  doi: 10.1109/MCOM.2009.5116800.  Google Scholar

[5]

, "Report ITU-R M.2134 Requirements Related to Technical Performance for IMT-Advanced Radio Interface(s),", 2008., ().   Google Scholar

[6]

, "Long Term Evolution (LTE): A Technical Overview,", Technical White Paper, (2007).   Google Scholar

[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), 520.   Google Scholar

[8]

, "Datasheet: SQN1130 System-on-Chip for WiMAX Mobile Stations,", Sequans Communications., ().   Google Scholar

[9]

H. Takagi, "Queueing Analysis,", vol. 1, (1991).   Google Scholar

[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, (2009), 1.   Google Scholar

[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.   Google Scholar

[12]

S. R. Yang, and Y. B. Lin, Modeling of UMTS discontinuous reception mechanism,, IEEE Transactions on Wireless Communications, 4 (2005), 312.  doi: 10.1109/TWC.2004.840259.  Google Scholar

[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.  doi: 10.1109/TMC.2007.1072.  Google Scholar

[14]

Y. Zhang and M. Fujise, Energy management in the IEEE 802.16e MAC,, IEEE Commun. Lett., 10 (2006), 311.  doi: 10.1109/LCOMM.2006.1613757.  Google Scholar

[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.   Google Scholar

show all references

References:
[1]

, "3GPP TS 36.321: E-UTRA Medium Access Control (MAC) Protocol Specificatio,", Rel. 8, (2009).   Google Scholar

[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, 13 (2009), 196.   Google Scholar

[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).   Google Scholar

[4]

C. Bontu and E. Illidge, DRX mechanism for power saving in LTE,, IEEE Communications magazine, 47 (2009), 48.  doi: 10.1109/MCOM.2009.5116800.  Google Scholar

[5]

, "Report ITU-R M.2134 Requirements Related to Technical Performance for IMT-Advanced Radio Interface(s),", 2008., ().   Google Scholar

[6]

, "Long Term Evolution (LTE): A Technical Overview,", Technical White Paper, (2007).   Google Scholar

[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), 520.   Google Scholar

[8]

, "Datasheet: SQN1130 System-on-Chip for WiMAX Mobile Stations,", Sequans Communications., ().   Google Scholar

[9]

H. Takagi, "Queueing Analysis,", vol. 1, (1991).   Google Scholar

[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, (2009), 1.   Google Scholar

[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.   Google Scholar

[12]

S. R. Yang, and Y. B. Lin, Modeling of UMTS discontinuous reception mechanism,, IEEE Transactions on Wireless Communications, 4 (2005), 312.  doi: 10.1109/TWC.2004.840259.  Google Scholar

[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.  doi: 10.1109/TMC.2007.1072.  Google Scholar

[14]

Y. Zhang and M. Fujise, Energy management in the IEEE 802.16e MAC,, IEEE Commun. Lett., 10 (2006), 311.  doi: 10.1109/LCOMM.2006.1613757.  Google Scholar

[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.   Google Scholar

[1]

Feimin Zhong, Jinxing Xie, Yuwei Shen. Bargaining in a multi-echelon supply chain with power structure: KS solution vs. Nash solution. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020172

[2]

Angelica Pachon, Federico Polito, Costantino Ricciuti. On discrete-time semi-Markov processes. Discrete & Continuous Dynamical Systems - B, 2021, 26 (3) : 1499-1529. doi: 10.3934/dcdsb.2020170

[3]

Zsolt Saffer, Miklós Telek, Gábor Horváth. Analysis of Markov-modulated fluid polling systems with gated discipline. Journal of Industrial & Management Optimization, 2021, 17 (2) : 575-599. doi: 10.3934/jimo.2019124

[4]

Puneet Pasricha, Anubha Goel. Pricing power exchange options with hawkes jump diffusion processes. Journal of Industrial & Management Optimization, 2021, 17 (1) : 133-149. doi: 10.3934/jimo.2019103

[5]

Gang Luo, Qingzhi Yang. The point-wise convergence of shifted symmetric higher order power method. Journal of Industrial & Management Optimization, 2021, 17 (1) : 357-368. doi: 10.3934/jimo.2019115

[6]

Kai Zhang, Xiaoqi Yang, Song Wang. Solution method for discrete double obstacle problems based on a power penalty approach. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2021018

[7]

Honglin Yang, Jiawu Peng. Coordinating a supply chain with demand information updating. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020181

[8]

Xin Zhao, Tao Feng, Liang Wang, Zhipeng Qiu. Threshold dynamics and sensitivity analysis of a stochastic semi-Markov switched SIRS epidemic model with nonlinear incidence and vaccination. Discrete & Continuous Dynamical Systems - B, 2020  doi: 10.3934/dcdsb.2021010

[9]

Sushil Kumar Dey, Bibhas C. Giri. Coordination of a sustainable reverse supply chain with revenue sharing contract. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020165

[10]

Xi Zhao, Teng Niu. Impacts of horizontal mergers on dual-channel supply chain. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020173

[11]

Mahir Demir, Suzanne Lenhart. A spatial food chain model for the Black Sea Anchovy, and its optimal fishery. Discrete & Continuous Dynamical Systems - B, 2021, 26 (1) : 155-171. doi: 10.3934/dcdsb.2020373

[12]

Wenyan Zhuo, Honglin Yang, Leopoldo Eduardo Cárdenas-Barrón, Hong Wan. Loss-averse supply chain decisions with a capital constrained retailer. Journal of Industrial & Management Optimization, 2021, 17 (2) : 711-732. doi: 10.3934/jimo.2019131

[13]

Noriyoshi Fukaya. Uniqueness and nondegeneracy of ground states for nonlinear Schrödinger equations with attractive inverse-power potential. Communications on Pure & Applied Analysis, 2021, 20 (1) : 121-143. doi: 10.3934/cpaa.2020260

[14]

Harrison Bray. Ergodicity of Bowen–Margulis measure for the Benoist 3-manifolds. Journal of Modern Dynamics, 2020, 16: 305-329. doi: 10.3934/jmd.2020011

[15]

Xuhui Peng, Rangrang Zhang. Approximations of stochastic 3D tamed Navier-Stokes equations. Communications on Pure & Applied Analysis, 2020, 19 (12) : 5337-5365. doi: 10.3934/cpaa.2020241

[16]

Yi An, Bo Li, Lei Wang, Chao Zhang, Xiaoli Zhou. Calibration of a 3D laser rangefinder and a camera based on optimization solution. Journal of Industrial & Management Optimization, 2021, 17 (1) : 427-445. doi: 10.3934/jimo.2019119

[17]

Jintai Ding, Zheng Zhang, Joshua Deaton. The singularity attack to the multivariate signature scheme HIMQ-3. Advances in Mathematics of Communications, 2021, 15 (1) : 65-72. doi: 10.3934/amc.2020043

[18]

Balázs Kósa, Karol Mikula, Markjoe Olunna Uba, Antonia Weberling, Neophytos Christodoulou, Magdalena Zernicka-Goetz. 3D image segmentation supported by a point cloud. Discrete & Continuous Dynamical Systems - S, 2021, 14 (3) : 971-985. doi: 10.3934/dcdss.2020351

[19]

Zonghong Cao, Jie Min. Selection and impact of decision mode of encroachment and retail service in a dual-channel supply chain. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020167

[20]

Wei Chen, Yongkai Ma, Weihao Hu. Electricity supply chain coordination with carbon abatement technology investment under the benchmarking mechanism. Journal of Industrial & Management Optimization, 2020  doi: 10.3934/jimo.2020175

2019 Impact Factor: 1.366

Metrics

  • PDF downloads (23)
  • HTML views (0)
  • Cited by (2)

Other articles
by authors

[Back to Top]