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Optimization flow control. I. Basic algorithm and convergence
Abstract
We propose an optimization approach to flow control where the objective is to maximize the aggregate source utility over their transmission rates. We view network links and sources as processors of a distributed computation system to solve the dual problem using a gradient projection algorithm. In this system, sources select transmission rates that maximize their own benefits, utility minus bandwidth cost, and network links adjust bandwidth prices to coordinate the sources' decisions. We allow feedback delays to be different, substantial, and time varying, and links and sources to update at different times and with different frequencies. We provide asynchronous distributed algorithms and prove their convergence in a static environment. We present measurements obtained from a preliminary prototype to illustrate the convergence of the algorithm in a slowly time-varying environment. We discuss its fairness property.
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Cited by
Distributed Subgradient Methods for Multi-Agent Optimization
Nedic, A., & Ozdaglar, A. (2009) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2008.2009515 · Cited by 3,719
Convex Optimization in Signal Processing and Communications
(2009) · Cambridge University Press eBooks · doi:10.1017/cbo9780511804458 · Cited by 554
NEXT: In-Network Nonconvex Optimization
Lorenzo, P. D., & Scutari, G. (2016) · IEEE Transactions on Signal and Information Processing over Networks · doi:10.1109/tsipn.2016.2524588 · Cited by 473
Subgradient Methods for Saddle-Point Problems
Nedić, A., & Ozdaglar, A. (2009) · Journal of Optimization Theory and Applications · doi:10.1007/s10957-009-9522-7 · Cited by 438
Distributed Subgradient Methods for Convex Optimization Over Random Networks
Lobel, I., & Ozdaglar, A. (2011) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2010.2091295 · Cited by 351
Metadata
- Authors
- Low, S. H., & Lapsely, D. E.
- Venue
- IEEE/ACM Transactions on Networking
- Published
- 1999
- Volume
- 7
- Issue
- 6
- Pages
- 861-874
- ISSN
- 1063-6692 (ISSN-L)
- OpenAlex
- W2037710455
- Cited by
- 1,972
- References
- 0
- FWCI
- 64.65
- Type
- journal article
- Language
- en
- Open access
- closed
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