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Scalability of wireless networks
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Source IEEE/ACM Transactions on Networking (TON) archive
Volume 15 ,  Issue 2  (April 2007) table of contents
Pages: 295 - 308  
Year of Publication: 2007
ISSN:1063-6692
Authors
Predrag R. Jelenković  Department of Electrical Engineering, Columbia University, New York, NY
Petar Momčilović  Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI
Mark S. Squillante  Mathematical Sciences Department, IBM Thomas J. Watson Research Center, Yorktown Heights, NY
Publisher
IEEE Press  Piscataway, NJ, USA
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DOI Bookmark: 10.1109/TNET.2007.892846

ABSTRACT

This paper investigates the existence of scalable protocols that can achieve the capacity limit of c/√N per source-destination pair in a large wireless network of N nodes when the buffer space of each node does not grow with the size of the network N. It is shown that there is no end-to-end protocol capable of carrying out the limiting throughput of c/√N with nodes that have constant buffer space. In other words, this limit is achievable only with devices whose buffers grow with the size of the network. On the other hand, the paper establishes that there exists a protocol which realizes a slightly smaller throughput of c/√N log N when devices have constant buffer space. Furthermore, it is shown that the required buffer space can be very small, capable of storing just a few packets. This is particularly important for wireless sensor networks where devices have limited resources. Finally, from a mathematical perspective, the paper furthers our understanding of the difficult problem of analyzing large queueing networks with finite buffers for which, in general, no explicit solutions are available.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
[1] P. Gupta and P. R. Kumar, "The capacity of wireless networks," IEEE Trans. Inf. Theory, vol. 46, no. 2, pp. 388-404, Mar. 2000.
 
2
[2] A. El Gamal, J. Mammen, B. Prabhakar, and D. Shah, "Throughput-delay trade-off in wireless networks," in Proc. IEEE INFOCOM 2004, Hong Kong, Mar. 2004, pp. 464-475.
 
3
 
4
[4] A. El Gamal, J. Mammen, B. Prabhakar, and D. Shah, "Optimal throughput-delay scaling in wireless networks--Part II: Constant-size packets," IEEE Trans. Inf. Theory, vol. 52, no. 11, pp. 5111-5116, Nov. 2006.
 
5
[5] M. Franceschetti, O. Dousse, D. Tse, and P. Thiran, "On the throughput capacity of random wireless networks." Preprint.
 
6
[6] S. Kulkarni and P. Viswanath, "A deternimistic approach to throughput scaling in wireless networks," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1041-1049, Jun. 2004.
 
7
[7] P. R. Kumar and L.-L. Xie, "A network information theory for wireless communications: Scaling laws and optimal operation," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 748-767, May 2004.
 
8
[8] O. Leveque and E. Telatar, "Information theoretic upper bounds on the capacity of ad hoc networks," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 858-865, Mar. 2005.
 
9
[9] A. Jovičič, P. Viswanath, and S. Kulkarni, "Upper bounds to transport capacity of wireless networks," IEEE Trans. Inf. Theory, vol. 50, no. 11, pp. 2555-2565, Nov. 2004.
10
 
11
[11] R. M. Loynes, "The stability of a queue with non-independent inter-arrival and service times," Proc. Cambr. Phil., Soc., vol. 58, pp. 497-520, 1962.
 
12
[12] F. Kelly, Reversibility and Stochastic Networks. New York: Wiley, 1979.
 
13
 
14
[14] P. Jelenković, P. Momčilović, and M. Squillante, "Buffer scalability of wireless networks," presented at the IEEE INFOCOM, Barcelona, Spain, Apr. 2006.
 
15
[15] T. Liggett, Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Berlin, Germany: Springer-Verlag, 1999.
 
16
 
17
 
18
[18] J. Herdtner and E. Chong, "Throughput-storage tradeoff in ad hoc networks," in Proc. IEEE INFOCOM, Miami, FL, Mar. 2005, vol. 4, pp. 2536-2542.
 
19
 
20
[20] M. Neely and E. Modiano, "Capacity and delay tradeoffs for ad hoc mobile networks," IEEE Trans. Inf. Theory, vol. 51, no. 6, pp. 1917-1937, Jun. 2005.
 
21
[21] P. Robert, Stochastic Networks and Queues. Berlin, Germany: Springer, 2003.
 
22
[22] X. Chao, M. Miyazawa, and M. Pinedo, Queueing Networks: Customers, Signals, and Product Form Solutions. Chichester, U.K.: Wiley, 1999.


Collaborative Colleagues:
Predrag R. Jelenković: colleagues
Petar Momčilović: colleagues
Mark S. Squillante: colleagues