Cache increases the capacity of wireless networks

Caching in wireless ad hoc networks can reduce network traffic and content access delay, as nodes can retrieve contents from near neighbors rather than the faraway server. However, the fundamental performance limits of caching in wireless ad hoc networks have rarely been studied in an analytical manner. In this paper, we study the fundamental property of wireless networks with caching, i.e., the scaling laws of the network capacity based on cache size of individual node, the total size of unique content and the number of nodes in the network. We present an upper bound on network capacity, and present an achievable capacity lower bound, where we propose a caching scheme to show what capacity can actually be achievable. Our results suggest that the capacity of wireless ad hoc networks with caching can remain constant even as the number of nodes in the network increases. We also present numerical results and demonstrate that our results are consistent with existing analytical results under extreme conditions where the node communication scenario matches theirs.

[1]  H. Chernoff.  A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations , 1952 .

[2]  Vladimir Vapnik,et al.  Chervonenkis: On the uniform convergence of relative frequencies of events to their probabilities , 1971 .

[3]  Elwood S. Buffa,et al.  Graph Theory with Applications , 1977 .

[4]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[5]  P. Burrows.  Extreme Statistics from the Sine Distribution , 1986 .

[6]  Sandy Irani,et al.  Cost-Aware WWW Proxy Caching Algorithms , 1997, USENIX Symposium on Internet Technologies and Systems.

[7]  Li Fan,et al.  Web caching and Zipf-like distributions: evidence and implications , 1999, IEEE INFOCOM '99. Conference on Computer Communications. Proceedings. Eighteenth Annual Joint Conference of the IEEE Computer and Communications Societies. The Future is Now (Cat. No.99CH36320).

[8]  Panganamala Ramana Kumar,et al.  RHEINISCH-WESTFÄLISCHE TECHNISCHE HOCHSCHULE AACHEN , 2001 .

[9]  Robert Tappan Morris,et al.  Capacity of Ad Hoc wireless networks , 2001, MobiCom '01.

[10]  David Tse,et al.  Mobility increases the capacity of ad hoc wireless networks , 2002, TNET.

[11]  S. Shenker,et al.  Replication strategies in unstructured peer-to-peer networks , 2002, SIGCOMM '02.

[12]  Shudong Jin,et al.  Content and service replication strategies in multi-hop wireless mesh networks , 2005, MSWiM '05.

[13]  Guohong Cao,et al.  Supporting cooperative caching in ad hoc networks , 2004, IEEE Transactions on Mobile Computing.

[14]  Pablo Rodriguez,et al.  I tube, you tube, everybody tubes: analyzing the world's largest user generated content video system , 2007, IMC '07.

[15]  Ali I. Genç.  On Order Statistics from Sine Distribution , 2007 .

[16]  Bin Tang,et al.  Benefit-based Data Caching in Ad Hoc Networks , 2006, Proceedings of the 2006 IEEE International Conference on Network Protocols.

[17]  Urs Niesen,et al.  Caching in wireless networks , 2009, 2009 IEEE International Symposium on Information Theory.

[18]  Marco Fiore,et al.  To Cache or Not To Cache? , 2009, IEEE INFOCOM 2009.

[19]  Jing Zhao,et al.  Roadcast: A Popularity Aware Content Sharing Scheme in VANETs , 2009, 2009 29th IEEE International Conference on Distributed Computing Systems.

[20]  Chita R. Das,et al.  Cooperative Caching in Wireless P2P Networks: Design, Implementation, and Evaluation , 2010, IEEE Transactions on Parallel and Distributed Systems.

[21]  Herbert A. David,et al.  Order Statistics , 2011, International Encyclopedia of Statistical Science.

[22]  Philippe Robert,et al.  A versatile and accurate approximation for LRU cache performance , 2012, 2012 24th International Teletraffic Congress (ITC 24).

[23]  Leandros Tassiulas,et al.  Asymptotic laws for content replication and delivery in wireless networks , 2012, 2012 Proceedings IEEE INFOCOM.

[24]  Guoqiang Zhang,et al.  Caching in information centric networking: A survey , 2013, Comput. Networks.

[25]  Leandros Tassiulas,et al.  Asymptotic Laws for Joint Content Replication and Delivery in Wireless Networks , 2012, IEEE Transactions on Information Theory.

[26]  James F. Kurose,et al.  On the steady-state of cache networks , 2013, 2013 Proceedings IEEE INFOCOM.

[27]  Hamid R. Sadjadpour,et al.  On the throughput capacity of information-centric networks , 2013, Proceedings of the 2013 25th International Teletraffic Congress (ITC).

[28]  Donald F. Towsley,et al.  Performance evaluation of hierarchical TTL-based cache networks , 2014, Comput. Networks.

[29]  J. J. Garcia-Luna-Aceves,et al.  Understanding optimal caching and opportunistic caching at "the edge" of information-centric networks , 2014, ICN '14.

[30]  Mehdi Bennis,et al.  Living on the edge: The role of proactive caching in 5G wireless networks , 2014, IEEE Communications Magazine.

[31]  Benyuan Liu,et al.  Capacity of Cache Enabled Content Distribution Wireless Ad Hoc Networks , 2014, 2014 IEEE 11th International Conference on Mobile Ad Hoc and Sensor Systems.

[32]  Emilio Leonardi,et al.  Least recently used caches under the Shot Noise Model , 2014, 2015 IEEE Conference on Computer Communications (INFOCOM).

[33]  Donald F. Towsley,et al.  On the complexity of optimal routing and content caching in heterogeneous networks , 2014, 2015 IEEE Conference on Computer Communications (INFOCOM).

[34]  Giuseppe Caire,et al.  Fundamental Limits of Caching in Wireless D2D Networks , 2014, IEEE Transactions on Information Theory.

[35]  Franziska Hoffmann,et al.  Spatial Tessellations Concepts And Applications Of Voronoi Diagrams , 2016 .

[36]  Li Qiu,et al.  Popularity-aware caching increases the capacity of wireless networks , 2017, IEEE INFOCOM 2017 - IEEE Conference on Computer Communications.

[37]  Min Sheng,et al.  Learning-Based Content Caching and Sharing for Wireless Networks , 2017, IEEE Transactions on Communications.

[38]  Anja Klein,et al.  Context-Aware Proactive Content Caching With Service Differentiation in Wireless Networks , 2016, IEEE Transactions on Wireless Communications.

[39]  Gang Feng,et al.  Optimal Cooperative Content Caching and Delivery Policy for Heterogeneous Cellular Networks , 2017, IEEE Transactions on Mobile Computing.

[40]  Xiaofei Wang,et al.  Hierarchical Edge Caching in Device-to-Device Aided Mobile Networks: Modeling, Optimization, and Design , 2018, IEEE Journal on Selected Areas in Communications.

[41]  K. Schittkowski,et al.  NONLINEAR PROGRAMMING , 2022 .