Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff

Jang Won Lee, Mung Chiang, A. Robert Calderbank

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

The current framework of network utility maximization for rate allocation and its price-based algorithms assumes that each link provides a fixed-size transmission 'pipe' and each user's utility is a function of transmission rate only. These assumptions break down in many practical systems, where, by adapting the physical layer channel coding or transmission diversity, different tradeoffs between rate and reliability can be achieved. In network utility maximization problems formulated in this paper, the utility for each user depends on both transmission rate and signal quality, with an intrinsic tradeoff between the two. Each link may also provide a higher (lower) rate on the transmission 'pipes' by allowing a higher (lower) decoding error probability. Despite non-separability and nonconvexity of these optimization problems, we propose new pricebased distributed algorithms and prove their convergence to the globally optimal rate-reliability tradeoff under readily-verifiable sufficient conditions. We first consider networks in which the rate-reliability tradeoff is controlled by adapting channel code rates in each link's physical layer error correction codes, and propose two distributed algorithms based on pricing, which respectively implement the 'integrated' and 'differentiated' policies of dynamic ratereliability adjustment. In contrast to the classical price-based rate control algorithms, in our algorithms each user provides an offered price for its own reliability to the network while the network provides congestion prices to users. The proposed algorithms converge to a tradeoff point between rate and reliability, which we prove to be a globally optimal one for channel codes with sufficiently large coding length and utilities whose curvatures are sufficiently negative. Under these conditions, the proposed algorithms can thus generate the Pareto optimal tradeoff curves between rate and reliability for all the users. The distributed algorithms and convergence proofs are extended for wireless MIMO multi-hop networks, in which diversity and multiplexing gains of each link are controlled to achieve the optimal ratereliability tradeoff.

Original languageEnglish
Title of host publicationProceedings - INFOCOM 2006
Subtitle of host publication25th IEEE International Conference on Computer Communications
DOIs
Publication statusPublished - 2006 Dec 1
EventINFOCOM 2006: 25th IEEE International Conference on Computer Communications - Barcelona, Spain
Duration: 2006 Apr 232006 Apr 29

Publication series

NameProceedings - IEEE INFOCOM
ISSN (Print)0743-166X

Other

OtherINFOCOM 2006: 25th IEEE International Conference on Computer Communications
CountrySpain
CityBarcelona
Period06/4/2306/4/29

Fingerprint

Parallel algorithms
Pipe
Channel coding
Error correction
Multiplexing
MIMO systems
Telecommunication links
Decoding
Costs

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Electrical and Electronic Engineering

Cite this

Lee, J. W., Chiang, M., & Calderbank, A. R. (2006). Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff. In Proceedings - INFOCOM 2006: 25th IEEE International Conference on Computer Communications [4146763] (Proceedings - IEEE INFOCOM). https://doi.org/10.1109/INFOCOM.2006.110
Lee, Jang Won ; Chiang, Mung ; Calderbank, A. Robert. / Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff. Proceedings - INFOCOM 2006: 25th IEEE International Conference on Computer Communications. 2006. (Proceedings - IEEE INFOCOM).
@inproceedings{7301cb55a5bb45799aa7beea563a2f34,
title = "Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff",
abstract = "The current framework of network utility maximization for rate allocation and its price-based algorithms assumes that each link provides a fixed-size transmission 'pipe' and each user's utility is a function of transmission rate only. These assumptions break down in many practical systems, where, by adapting the physical layer channel coding or transmission diversity, different tradeoffs between rate and reliability can be achieved. In network utility maximization problems formulated in this paper, the utility for each user depends on both transmission rate and signal quality, with an intrinsic tradeoff between the two. Each link may also provide a higher (lower) rate on the transmission 'pipes' by allowing a higher (lower) decoding error probability. Despite non-separability and nonconvexity of these optimization problems, we propose new pricebased distributed algorithms and prove their convergence to the globally optimal rate-reliability tradeoff under readily-verifiable sufficient conditions. We first consider networks in which the rate-reliability tradeoff is controlled by adapting channel code rates in each link's physical layer error correction codes, and propose two distributed algorithms based on pricing, which respectively implement the 'integrated' and 'differentiated' policies of dynamic ratereliability adjustment. In contrast to the classical price-based rate control algorithms, in our algorithms each user provides an offered price for its own reliability to the network while the network provides congestion prices to users. The proposed algorithms converge to a tradeoff point between rate and reliability, which we prove to be a globally optimal one for channel codes with sufficiently large coding length and utilities whose curvatures are sufficiently negative. Under these conditions, the proposed algorithms can thus generate the Pareto optimal tradeoff curves between rate and reliability for all the users. The distributed algorithms and convergence proofs are extended for wireless MIMO multi-hop networks, in which diversity and multiplexing gains of each link are controlled to achieve the optimal ratereliability tradeoff.",
author = "Lee, {Jang Won} and Mung Chiang and Calderbank, {A. Robert}",
year = "2006",
month = "12",
day = "1",
doi = "10.1109/INFOCOM.2006.110",
language = "English",
isbn = "1424402212",
series = "Proceedings - IEEE INFOCOM",
booktitle = "Proceedings - INFOCOM 2006",

}

Lee, JW, Chiang, M & Calderbank, AR 2006, Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff. in Proceedings - INFOCOM 2006: 25th IEEE International Conference on Computer Communications., 4146763, Proceedings - IEEE INFOCOM, INFOCOM 2006: 25th IEEE International Conference on Computer Communications, Barcelona, Spain, 06/4/23. https://doi.org/10.1109/INFOCOM.2006.110

Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff. / Lee, Jang Won; Chiang, Mung; Calderbank, A. Robert.

Proceedings - INFOCOM 2006: 25th IEEE International Conference on Computer Communications. 2006. 4146763 (Proceedings - IEEE INFOCOM).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

TY - GEN

T1 - Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff

AU - Lee, Jang Won

AU - Chiang, Mung

AU - Calderbank, A. Robert

PY - 2006/12/1

Y1 - 2006/12/1

N2 - The current framework of network utility maximization for rate allocation and its price-based algorithms assumes that each link provides a fixed-size transmission 'pipe' and each user's utility is a function of transmission rate only. These assumptions break down in many practical systems, where, by adapting the physical layer channel coding or transmission diversity, different tradeoffs between rate and reliability can be achieved. In network utility maximization problems formulated in this paper, the utility for each user depends on both transmission rate and signal quality, with an intrinsic tradeoff between the two. Each link may also provide a higher (lower) rate on the transmission 'pipes' by allowing a higher (lower) decoding error probability. Despite non-separability and nonconvexity of these optimization problems, we propose new pricebased distributed algorithms and prove their convergence to the globally optimal rate-reliability tradeoff under readily-verifiable sufficient conditions. We first consider networks in which the rate-reliability tradeoff is controlled by adapting channel code rates in each link's physical layer error correction codes, and propose two distributed algorithms based on pricing, which respectively implement the 'integrated' and 'differentiated' policies of dynamic ratereliability adjustment. In contrast to the classical price-based rate control algorithms, in our algorithms each user provides an offered price for its own reliability to the network while the network provides congestion prices to users. The proposed algorithms converge to a tradeoff point between rate and reliability, which we prove to be a globally optimal one for channel codes with sufficiently large coding length and utilities whose curvatures are sufficiently negative. Under these conditions, the proposed algorithms can thus generate the Pareto optimal tradeoff curves between rate and reliability for all the users. The distributed algorithms and convergence proofs are extended for wireless MIMO multi-hop networks, in which diversity and multiplexing gains of each link are controlled to achieve the optimal ratereliability tradeoff.

AB - The current framework of network utility maximization for rate allocation and its price-based algorithms assumes that each link provides a fixed-size transmission 'pipe' and each user's utility is a function of transmission rate only. These assumptions break down in many practical systems, where, by adapting the physical layer channel coding or transmission diversity, different tradeoffs between rate and reliability can be achieved. In network utility maximization problems formulated in this paper, the utility for each user depends on both transmission rate and signal quality, with an intrinsic tradeoff between the two. Each link may also provide a higher (lower) rate on the transmission 'pipes' by allowing a higher (lower) decoding error probability. Despite non-separability and nonconvexity of these optimization problems, we propose new pricebased distributed algorithms and prove their convergence to the globally optimal rate-reliability tradeoff under readily-verifiable sufficient conditions. We first consider networks in which the rate-reliability tradeoff is controlled by adapting channel code rates in each link's physical layer error correction codes, and propose two distributed algorithms based on pricing, which respectively implement the 'integrated' and 'differentiated' policies of dynamic ratereliability adjustment. In contrast to the classical price-based rate control algorithms, in our algorithms each user provides an offered price for its own reliability to the network while the network provides congestion prices to users. The proposed algorithms converge to a tradeoff point between rate and reliability, which we prove to be a globally optimal one for channel codes with sufficiently large coding length and utilities whose curvatures are sufficiently negative. Under these conditions, the proposed algorithms can thus generate the Pareto optimal tradeoff curves between rate and reliability for all the users. The distributed algorithms and convergence proofs are extended for wireless MIMO multi-hop networks, in which diversity and multiplexing gains of each link are controlled to achieve the optimal ratereliability tradeoff.

UR - http://www.scopus.com/inward/record.url?scp=39049093155&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39049093155&partnerID=8YFLogxK

U2 - 10.1109/INFOCOM.2006.110

DO - 10.1109/INFOCOM.2006.110

M3 - Conference contribution

AN - SCOPUS:39049093155

SN - 1424402212

SN - 9781424402212

T3 - Proceedings - IEEE INFOCOM

BT - Proceedings - INFOCOM 2006

ER -

Lee JW, Chiang M, Calderbank AR. Network utility maximization and price-based distributed algorithms for rate-reliability tradeoff. In Proceedings - INFOCOM 2006: 25th IEEE International Conference on Computer Communications. 2006. 4146763. (Proceedings - IEEE INFOCOM). https://doi.org/10.1109/INFOCOM.2006.110