Skip to main content

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 434))

  • 2830 Accesses

Abstract

This chapter puts together some of the applications of simultaneous perturbation-based approaches in the context of communication networks. Three applications are studied in particular: (i) the problem of tuning the parameters for the random early detection adaptive queue management scheme, (ii) finding the optimal retransmission probabilities for the slotted Aloha multi-access communication system and (iii) obtaining dynamic price allocation schemes for Internet traffic management.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bertsekas, D.P.: Nonlinear Programming. Athena Scientific, Belmont (1999)

    MATH  Google Scholar 

  2. Bertsekas, D.P., Gallager, R.G.: Data Networks. Prentice-Hall, New York (1991)

    Google Scholar 

  3. Bhatnagar, S., Fu, M.C., Marcus, S.I., Fard, P.J.: Optimal structured feedback policies for ABR flow control using two-timescale SPSA. IEEE/ACM Transactions on Networking 9(4), 479–491 (2001)

    Article  Google Scholar 

  4. Bhatnagar, S., Karmeshu, Mishra, V.: Optimal parameter trajectory estimation in parameterized sdes: an algorithmic procedure. ACM Transactions on Modeling and Computer Simulation (TOMACS) 19(2), 8 (2009)

    Article  Google Scholar 

  5. Bhatnagar, S., Kumar, S.: A simultaneous perturbation stochastic approximation based actor-critic algorithm for Markov decision processes. IEEE Transactions on Automatic Control 49(4), 592–598 (2004)

    Article  MathSciNet  Google Scholar 

  6. Bhatnagar, S., Patro, R.K.: A proof of convergence of the B-RED and P-RED algorithms in random early detection. IEEE Communication Letters 13(10), 809–811 (2009)

    Article  Google Scholar 

  7. Chakraborty, A., Bhatnagar, S.: Optimized policies for the retransmission probabilities in slotted aloha. Simulation 86(4), 247–261 (2010)

    Article  Google Scholar 

  8. Garg, D., Borkar, V.S., Manjunath, D.: Network pricing for QoS: A ‘regulation’ appproach. In: Abed, E.H. (ed.) Advances in Control, Communication Networks and Transportation Systems (in honour of Pravin Varaiya), pp. 137–157 (2005)

    Google Scholar 

  9. Floyd, S., Gummadi, R., Shenker, S., et al.: Adaptive red: An algorithm for increasing the robustness of reds active queue management (2001), http://www.icir.org/floyd/papers.html

  10. Floyd, S., Jacobson, V.: Random early detection gateways for congestion avoidance. IEEE/ACM Transactions on Networking 1(4), 397–413 (1993)

    Article  Google Scholar 

  11. Glasserman, P.: Monte Carlo methods in financial engineering, vol. 53. Springer (2004)

    Google Scholar 

  12. Gockenbach, M.: Analysis of the logarithmic barrier method (preprint), http://www.math.mtu.edu

  13. Issariyakul, T., Hossain, E.: Introduction to network simulator NS2. Springer (2008)

    Google Scholar 

  14. Kaj, I.: Stochastic modeling in broadband communications systems. Society for Industrial Mathematics, vol. 8 (2002)

    Google Scholar 

  15. Karmeshu, Bhatnagar, S., Mishra, V.: An optimized sde model for slotted aloha. IEEE Transactions on Communications 59(6), 1502–1508 (2011)

    Article  Google Scholar 

  16. Patro, R.K., Bhatnagar, S.: A probabilistic constrained nonlinear optimization framework to optimize RED parameters. Performance Evaluation 66(2), 81–104 (2009)

    Article  Google Scholar 

  17. Dube, P., Borkar, V.S., Manjunath, D.: Differential join prices for parallel queues: Social optimality, dynamic pricing algorithms and application to internet pricing. In: Proceedings of IEEE Infocom, N.Y., vol. 1, pp. 276–283 (2002)

    Google Scholar 

  18. Ramana Reddy, G., Bhatnagar, S., Rakesh, V., Chaturvedi, V.: An efficient algorithm for scheduling in bluetooth piconets and scatternets. Wireless Networks 16(7), 1799–1816 (2010)

    Article  Google Scholar 

  19. Rao, S., Rao, S.: Engineering optimization: theory and practice. Wiley (2009)

    Google Scholar 

  20. Tandra, R., Hemachandra, N., Manjunath, D.: Diffserv node with join minimum cost queue policy and multiclass traffic. Perform. Eval. 55(1-2), 69–91 (2004), http://dx.doi.org/10.1016/S0166-53160300105-6

    Article  Google Scholar 

  21. Spall, J.C.: Adaptive stochastic approximation by the simultaneous perturbation method. IEEE Trans. Autom. Contr. 45, 1839–1853 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  22. Taha, H., Taha, H.: Operations research: an introduction, vol. 8. Prentice Hall, Upper Saddle River (1997)

    MATH  Google Scholar 

  23. Uri, A.: Penalty, barrier and augmented lagrangian methods (preprint), www.cs.ubc.ca/spider/ascher/542/chap10.pdf

  24. Vaidya, R., Bhatnagar, S.: Robust optimization of random early detection. Telecommunication Systems 33(4), 291–316 (2006)

    Article  Google Scholar 

  25. Vemu, K., Bhatnagar, S., Hemachandra, N.: Link-Route Pricing for Enhanced QoS. Technical Report 2007-8, Department of Computer Science and Automation. Indian Institute of Science, Bangalore (2007); Shorter version in Proceedings of IEEE Conference on Decision and Control, New Orleans, USA, December 12-14, pp. 504–1509 (2007), http://archive.csa.iisc.ernet.in/TR/2007/8/

  26. Vemu, K.R., Bhatnagar, S., Hemachandra, N.: Optimal multi-layered congestion based pricing schemes for enhanced qos. Computer Networks (2011), http://dx.doi.org/10.1016/j.comnet.2011.12.004

  27. Borkar, V.S., Manjunath, D.: Charge-based control of diffserv-like queues. Automatica 40(12), 2043–2057 (2004)

    MathSciNet  MATH  Google Scholar 

  28. Zhu, X., Spall, J.C.: A modified second-order SPSA optimization algorithm for finite samples. Int. J. Adapt. Control Signal Process. 16, 397–409 (2002)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Bhatnagar .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag London

About this chapter

Cite this chapter

Bhatnagar, S., Prasad, H., Prashanth, L. (2013). Communication Networks. In: Stochastic Recursive Algorithms for Optimization. Lecture Notes in Control and Information Sciences, vol 434. Springer, London. https://doi.org/10.1007/978-1-4471-4285-0_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-4285-0_14

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-4284-3

  • Online ISBN: 978-1-4471-4285-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics