Optimizing Information Freshness in Wireless Networks Under General Interference Constraints

Age of information (AoI) is a recently proposed metric for measuring information freshness. AoI measures the time that elapsed since the last received update was generated. We consider the problem of minimizing average and peak AoI in wireless networks under general interference constraints. When fresh information is always available for transmission, we show that a stationary scheduling policy is peak age optimal. We also prove that this policy achieves average age that is within a factor of two of the optimal average age. In the case where fresh information is not always available, and packet/information generation rate has to be controlled along with scheduling links for transmission, we prove an important separation principle: the optimal scheduling policy can be designed assuming fresh information, and independently, the packet generation rate control can be done by ignoring interference. Peak and average AoI for discrete time G/Ber/1 queue is analyzed for the first time, which may be of independent interest.

[1]  Roy D. Yates,et al.  Status updates over unreliable multiaccess channels , 2017, 2017 IEEE International Symposium on Information Theory (ISIT).

[2]  Anthony Ephremides,et al.  Controlling the age of information: Buffer size, deadline, and packet replacement , 2016, MILCOM 2016 - 2016 IEEE Military Communications Conference.

[3]  Lachlan L. H. Andrew,et al.  The Age of Information in Gossip Networks , 2013, ASMTA.

[4]  Roy D. Yates,et al.  Real-time status: How often should one update? , 2012, 2012 Proceedings IEEE INFOCOM.

[5]  Eytan Modiano,et al.  Can Determinacy Minimize Age of Information? , 2018, ArXiv.

[6]  Anthony Ephremides,et al.  Age of information with a packet deadline , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).

[7]  Roy D. Yates,et al.  Status updates through queues , 2012, 2012 46th Annual Conference on Information Sciences and Systems (CISS).

[8]  Ness B. Shroff,et al.  Minimizing the Age of Information Through Queues , 2017, IEEE Transactions on Information Theory.

[9]  Jingxian Wu,et al.  Optimal Status Update for Age of Information Minimization With an Energy Harvesting Source , 2017, IEEE Transactions on Green Communications and Networking.

[10]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[11]  Eytan Modiano,et al.  Distributed Scheduling Algorithms for Optimizing Information Freshness in Wireless Networks , 2018, 2018 IEEE 19th International Workshop on Signal Processing Advances in Wireless Communications (SPAWC).

[12]  Eytan Modiano,et al.  Scheduling Policies for Age Minimization in Wireless Networks with Unknown Channel State , 2018, 2018 IEEE International Symposium on Information Theory (ISIT).

[13]  Roy D. Yates,et al.  Lazy is timely: Status updates by an energy harvesting source , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).

[14]  Sanjit Krishnan Kaul,et al.  Minimizing age of information in vehicular networks , 2011, 2011 8th Annual IEEE Communications Society Conference on Sensor, Mesh and Ad Hoc Communications and Networks.

[15]  Sheldon M. Ross,et al.  Stochastic Processes , 2018, Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics.

[16]  Eytan Modiano,et al.  Minimizing the Age of Information in broadcast wireless networks , 2016, 2016 54th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[17]  Eytan Modiano,et al.  Age of information: Design and analysis of optimal scheduling algorithms , 2016, 2017 IEEE International Symposium on Information Theory (ISIT).

[18]  Sennur Ulukus,et al.  Age of Information in G/G/1/1 Systems: Age Expressions, Bounds, Special Cases, and Optimization , 2019, IEEE Transactions on Information Theory.

[19]  Eytan Modiano,et al.  Speed limits in autonomous vehicular networks due to communication constraints , 2016, 2016 IEEE 55th Conference on Decision and Control (CDC).

[20]  Eytan Modiano,et al.  Optimizing Information Freshness in Wireless Networks Under General Interference Constraints , 2020, IEEE/ACM Transactions on Networking.

[21]  Stephan Dempe,et al.  Directional differentiability of optimal solutions under Slater's condition , 1993, Math. Program..

[22]  Anthony Ephremides,et al.  Effect of message transmission diversity on status age , 2014, 2014 IEEE International Symposium on Information Theory.

[23]  Elif Uysal-Biyikoglu,et al.  Scheduling status updates to minimize age of information with an energy harvesting sensor , 2017, 2017 IEEE International Symposium on Information Theory (ISIT).

[24]  Tetsuya Takine,et al.  The stationary distribution of the age of information in FCFS single-server queues , 2017, 2017 IEEE International Symposium on Information Theory (ISIT).

[25]  Jean-Yves Le Boudec,et al.  The age of gossip: spatial mean field regime , 2009, SIGMETRICS '09.

[26]  Ilker Bekmezci,et al.  Flying Ad-Hoc Networks (FANETs): A survey , 2013, Ad Hoc Networks.

[27]  DAN GARBER,et al.  A Linearly Convergent Variant of the Conditional Gradient Algorithm under Strong Convexity, with Applications to Online and Stochastic Optimization , 2016, SIAM J. Optim..

[28]  Anthony Ephremides,et al.  Wireless networking , 1997, Proceedings Second IEEE Symposium on Computer and Communications.

[29]  H. Vincent Poor,et al.  Age-Minimal Transmission for Energy Harvesting Sensors With Finite Batteries: Online Policies , 2018, IEEE Transactions on Information Theory.

[30]  Finkel,et al.  Brief review: Stochastic Modeling and the Theory of Queues by Ronald W. Wolfe (Prentice-Hall, 1989) , 1992, PERV.

[31]  Kun Chen,et al.  Age-of-information in the presence of error , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).

[32]  Jens Vygen,et al.  The Book Review Column1 , 2020, SIGACT News.

[33]  Anthony Ephremides,et al.  Age of information under random updates , 2013, 2013 IEEE International Symposium on Information Theory.

[34]  R. Durrett Probability: Theory and Examples , 1993 .

[35]  Eytan Modiano,et al.  Optimizing age of information in wireless networks with perfect channel state information , 2018, 2018 16th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt).

[36]  Stefania Sesia,et al.  LTE - The UMTS Long Term Evolution, Second Edition , 2011 .

[37]  Eytan Modiano,et al.  Minimizing age-of-information in multi-hop wireless networks , 2017, 2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[38]  Qing He,et al.  Optimizing freshness of information: On minimum age link scheduling in wireless systems , 2016, 2016 14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt).

[39]  Yoshiaki Inoue,et al.  Analysis of the Age of Information with Packet Deadline and Infinite Buffer Capacity , 2018, 2018 IEEE International Symposium on Information Theory (ISIT).

[40]  Roy D. Yates,et al.  Status Updates through Networks of Parallel Servers , 2018, 2018 IEEE International Symposium on Information Theory (ISIT).

[41]  Ness B. Shroff,et al.  On the Complexity of Scheduling in Wireless Networks , 2006, MobiCom '06.

[42]  Neelesh B. Mehta,et al.  Joint Evaluation of Channel Feedback Schemes, Rate Adaptation, and Scheduling in OFDMA Downlinks With Feedback Delays , 2013, IEEE Transactions on Vehicular Technology.

[43]  Bruce E. Hajek,et al.  Link scheduling in polynomial time , 1988, IEEE Trans. Inf. Theory.

[44]  Eytan Modiano,et al.  Optimizing age-of-information in a multi-class queueing system , 2015, 2015 IEEE International Symposium on Information Theory (ISIT).

[45]  Roy D. Yates,et al.  Update or wait: How to keep your data fresh , 2016, IEEE INFOCOM 2016 - The 35th Annual IEEE International Conference on Computer Communications.

[46]  Sennur Ulukus,et al.  Age-Minimal Transmission in Energy Harvesting Two-Hop Networks , 2017, GLOBECOM 2017 - 2017 IEEE Global Communications Conference.

[47]  Rajai Nasser,et al.  Age of information: The gamma awakening , 2016, 2016 IEEE International Symposium on Information Theory (ISIT).

[48]  Ronald W. Wolff,et al.  Stochastic Modeling and the Theory of Queues , 1989 .

[49]  Panganamala Ramana Kumar,et al.  Cyber–Physical Systems: A Perspective at the Centennial , 2012, Proceedings of the IEEE.

[50]  Marian Codreanu,et al.  Age of information with packet management , 2014, 2014 IEEE International Symposium on Information Theory.

[51]  Elif Uysal-Biyikoglu,et al.  Age of information under energy replenishment constraints , 2015, 2015 Information Theory and Applications Workshop (ITA).