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ABSTRACT
We study a price-based rate control mechanism for random access networks. The mechanism uses channel feedback information to control the aggregate packet arrival rate. For our analysis, we use the standard slotted Aloha model with an infinite set of nodes. We show that the resulting Markov chain is positive recurrent. In addition, we characterize the throughput and delay at the operating point of the system and show how the operating point can be set a priori by appropriately choosing the control parameters. We illustrate our results using numerical experiments.
REFERENCES
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1
|
|
 |
2
|
|
| |
3
|
{3} H. Wu, Y. Peng, K. Long, S. Cheng, and J. Ma, "Performance of reliable transport protocol over IEEE 802.11 wireless LAN: Analysis and enhancement," in Proc. IEEE INFOCOM, Jun. 2002, pp. 599-607.
|
| |
4
|
{4} S. Shenker, "Fundamental design issues for the future Internet," IEEE J. Sel. Areas Commun., vol. 13, no. 7, pp. 1176-1188, Sep. 1995.
|
| |
5
|
{5} F. Kelly, "Charging and rate control for elastic traffic," Eur. Trans. Telecommun., vol. 8, pp. 33-37, 1997.
|
| |
6
|
{6} F. Kelly, A. Maulloo, and D. Tan, "Rate control for communication networks: Shadow prices, proportional fairness, and stability," J. Oper. Res. Soc., vol. 49, pp. 237-252, 1998.
|
| |
7
|
|
| |
8
|
{8} S. Athuraliya and S. H. Low, "Optimization flowcontrol--II: Implementation," Caltech, May 2000. preprint, {Online.} http://netlab.caltech.edu.
|
| |
9
|
{9} S. Kunniyur and R. Srikant, "End-to-end congestion control schemes: Utility functions, random losses, and ECN marks," in Proc. 19th Annu. Joint Conf. IEEE Computer and Communications Societies, vol. 3, Tel Aviv, Israel, Mar. 2000, pp. 1323-1332.
|
| |
10
|
{10} C. Yuen and P. Marbach, "End-to-end rate control for networks with random access links," in Proc. IEEE CCECE, Niagra Falls, ON, Canada, Apr. 2004.
|
| |
11
|
{11} C. Yuen, "Rate control with pricing in contention-based access networks," M.S. thesis, Univ. of Toronto, Toronto, ON, Canada, 2002.
|
 |
12
|
|
| |
13
|
{13} A. G. Pakes, "Some conditions for ergodicity and recurrence of Markov chains," Oper. Res., vol. 17, pp. 1058-1061, 1969.
|
| |
14
|
{14} C. Yuen and P. Marbach, "Service Differentiation in Random Access Networks," Univ. Toronto, Toronto, ON, Canada, Tech. Rep. CSRG-472, Jul. 2003.
|
| |
15
|
{15} F. Kelly, "Stochastic models of computer communication systems," J. Royal Stat. Soc. B, vol. 47, no. 3, pp. 379-395, 1985.
|
| |
16
|
{16} IEEE Trans. Inf. Theory, vol. IT-31, Mar. 1985.
|
| |
17
|
{17} A. Ephremides and B. Hajek, "Information theory and communication networks: An unconsummated union," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2416-2434, Oct. 1998.
|
| |
18
|
|
| |
19
|
{19} B. S. Chlebus, Randomized Communication in Radio Networks, ser. Handbook of Randomized Computing. Norwell, MA: Kluwer, July 2001, vol. I, ch. 11, pp. 401-456.
|
| |
20
|
{20} L. Kleinrock and S. Lam, "Packet switching in a multiaccess broadcast channel: Dynamic control procedures," IEEE Trans. Commun., vol. COM-23, no. 9, pp. 891-904, Sep. 1975.
|
| |
21
|
{21} K. Mittal and A. N. Venetsanopoulos, "A note on optimal input control policy for an ALOHA access scheme," IEEE Trans. Commun., vol. 39, no. 2, pp. 197-199, Feb. 1991.
|
| |
22
|
{22} R. Battiti, M. Conti, E. Gregori, and M. Sabel, "Price-based congestion-control in Wi-Fi hot spots," in Proc. 1st IEEE/ACM WiOpt Workshop, INRIA Sophia-Antipolis, France, Mar. 2003, pp. 91-100.
|
| |
23
|
{23} Y. Jin and G. Kesidis, "A pricing strategy for an ALOHA network of heterogeneous users with inelastic bandwidth requirements," in Proc. Conf. Information Sciences and Systems (CISS), Princeton, NJ, Mar. 2002.
|
| |
24
|
{24} B. Hajek and T. van Loon, "Decentralized dynamic control of a multi-access broadcast channel," IEEE Trans. Autom. Control, vol. AC-27, no. 3, pp. 559-569, Jun. 1982.
|
 |
25
|
|
| |
26
|
|
| |
27
|
|
| |
28
|
{28} R. Bruno, M. Conti, and E. Gregori, "Throughput evaluation and enhancement of TCP clients in Wi-Fi hot spots," in Proc. Wireless On-Demand Network Systems, 2004, pp. 73-86.
|
| |
29
|
{29} F. G. Foster, "On the stochastic matrices associated with certain queuing processes," Ann. Math. Statistics, vol. 24, no. 3, pp. 355-360, Sept. 1953.
|
| |
30
|
{30} S. P. Meyn and R. L. Tweedie, Markov Chains and Stochastic Stability, ser. Communication and Control Engineering Series. London, U.K.: Springer-Verlag, 1993.
|
|