Towards a system theoretic approach to wireless network capacity in finite time and space

In asymptotic regimes, both in time and space (network size), the derivation of network capacity results is grossly simplified by brushing aside queueing behavior in nonJackson networks. This simplifying double-limit model, however, lends itself to conservative numerical results in finite regimes. To properly account for queueing behavior beyond a simple calculus based on average rates, we advocate a system theoretic methodology for the capacity problem in finite time and space regimes. This methodology also accounts for spatial correlations arising in networks with CSMA/CA scheduling and it delivers rigorous closed-form capacity results in terms of probability distributions. Unlike numerous existing asymptotic results, subject to anecdotal practical concerns, our transient results can be used in practical settings, e.g., to compute the time scales at which multi-hop routing is more advantageous than single-hop routing.

[1]  Anthony Ephremides,et al.  Information Theory and Communication Networks: An Unconsummated Union , 1998, IEEE Trans. Inf. Theory.

[2]  Felix Poloczek,et al.  Sharp bounds in stochastic network calculus , 2013, SIGMETRICS '13.

[3]  R. Srikant,et al.  The Multicast Capacity of Large Multihop Wireless Networks , 2007, IEEE/ACM Transactions on Networking.

[4]  Chuang Lin,et al.  Stochastic Performance Analysis of a Wireless Finite-State Markov Channel , 2013, IEEE Transactions on Wireless Communications.

[5]  Patrick Thiran,et al.  Self-Organization Properties of CSMA/CA Systems and Their Consequences on Fairness , 2009, IEEE Transactions on Information Theory.

[6]  Markus Fidler,et al.  WLC15-2: A Network Calculus Approach to Probabilistic Quality of Service Analysis of Fading Channels , 2006, IEEE Globecom 2006.

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

[8]  Anders Ahlén,et al.  Two Hops is One too Many in an Energy-Limited Wireless Sensor Network , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[9]  Florin Ciucu,et al.  Non-asymptotic throughput and delay distributions in multi-hop wireless networks , 2010, 2010 48th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[10]  Anthony Ephremides,et al.  Energy concerns in wireless networks , 2002, IEEE Wirel. Commun..

[11]  David M. Lucantoni,et al.  A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance , 1986, IEEE J. Sel. Areas Commun..

[12]  Jia Tang,et al.  Cross-layer modeling for quality of service guarantees over wireless links , 2007, IEEE Transactions on Wireless Communications.

[13]  Atm Switches,et al.  BUFFER OVERFLOW ASYMPTOTICS FOR A BUFFER HANDLING MANY TRAFFIC SOURCES , 1996 .

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

[15]  Ness B. Shroff,et al.  Joint Congestion Control and Distributed Scheduling for Throughput Guarantees in Wireless Networks , 2007, IEEE INFOCOM 2007 - 26th IEEE International Conference on Computer Communications.

[16]  Florin Ciucu,et al.  On Superlinear Scaling of Network Delays , 2011, IEEE/ACM Transactions on Networking.

[17]  Florin Ciucu,et al.  Perspectives on network calculus: no free lunch, but still good value , 2012, CCRV.

[18]  Felix Poloczek,et al.  Sharp per-flow delay bounds for bursty arrivals: The case of FIFO, SP, and EDF scheduling , 2014, IEEE INFOCOM 2014 - IEEE Conference on Computer Communications.

[19]  Norman M. Abramson,et al.  THE ALOHA SYSTEM: another alternative for computer communications , 1899, AFIPS '70 (Fall).

[20]  Edward A. Lee,et al.  Structure and interpretation of signals and systems , 2002 .

[21]  Lang Tong,et al.  Stability and capacity of regular wireless networks , 2005, IEEE Transactions on Information Theory.

[22]  Florin Ciucu,et al.  On the catalyzing effect of randomness on the per-flow throughput in wireless networks , 2014, IEEE INFOCOM 2014 - IEEE Conference on Computer Communications.

[23]  Eytan Modiano,et al.  Capacity and delay tradeoffs for ad hoc mobile networks , 2005, IEEE Trans. Inf. Theory.

[24]  Ward Whitt,et al.  Squeezing the Most Out of ATM , 1995, IEEE Trans. Commun..

[25]  Eytan Modiano,et al.  Capacity and delay tradeoffs for ad hoc mobile networks , 2004, IEEE Transactions on Information Theory.

[26]  Yan Gao,et al.  Determining the end-to-end throughput capacity in multi-hop networks: methodology and applications , 2006, SIGMETRICS '06/Performance '06.

[27]  John A. Silvester,et al.  Optimum transmission radii for packet radio networks or why six is a magic number , 1978 .

[28]  Wilton R. Abbott,et al.  Network Calculus , 1970 .

[29]  Robert Tappan Morris,et al.  Performance of multihop wireless networks: shortest path is not enough , 2003, CCRV.

[30]  Almut Burchard,et al.  A (min, ×) network calculus for multi-hop fading channels , 2013, 2013 Proceedings IEEE INFOCOM.

[31]  J. Schmitt,et al.  Perspectives on network calculus: no free lunch, but still good value , 2012, SIGCOMM '12.

[32]  Daniele Puccinelli,et al.  Routing in ad hoc networks: a case for long hops , 2005, IEEE Communications Magazine.

[33]  C S LuiJohn,et al.  Determining the end-to-end throughput capacity in multi-hop networks , 2006 .

[34]  Florin Ciucu,et al.  On the scaling of non-asymptotic capacity in multi-access networks with bursty traffic , 2011, 2011 IEEE International Symposium on Information Theory Proceedings.

[35]  Jeffrey G. Andrews,et al.  Rethinking information theory for mobile ad hoc networks , 2007, IEEE Communications Magazine.

[36]  Dapeng Wu,et al.  Effective capacity: a wireless link model for support of quality of service , 2003, IEEE Trans. Wirel. Commun..

[37]  Martin Haenggi,et al.  Towards an end-to-end delay analysis of wireless multihop networks , 2009, Ad Hoc Networks.

[38]  John A. Silvester,et al.  On the Capacity of Multihop Slotted ALOHA Networks with Regular Structure , 1983, IEEE Trans. Commun..

[39]  Robert G. Gallager,et al.  A perspective on multiaccess channels , 1984, IEEE Trans. Inf. Theory.

[40]  Lili Qiu,et al.  Impact of Interference on Multi-Hop Wireless Network Performance , 2003, MobiCom '03.

[41]  Kashif Mahmood,et al.  Delay constrained throughput analysis of CDMA using stochastic network calculus , 2011, 2011 17th IEEE International Conference on Networks.

[42]  Jean-Yves Le Boudec,et al.  Network Calculus , 2001, Lecture Notes in Computer Science.