research-article

Dirichlet's principle on multiclass multihop wireless networks: minimum cost routing subject to stability

Authors:

Edmond Jonckheere,

Bhaskar KrishnamachariAuthors Info & Claims

MSWiM '14: Proceedings of the 17th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems

Pages 31 - 40

https://doi.org/10.1145/2641798.2641808

Published: 21 September 2014 Publication History

Abstract

Minimum cost routing is considered on multiclass multihop wireless networks influenced by stochastic arrivals, inter-channel interference, and time-varying topology. Endowing each air link with a cost factor, possibly time-varying and different for different classes, we define the Dirichlet routing cost as the square of the link packet transmissions weighted by the link cost-factors. Our recently-proposed Heat-Diffusion (HD) routing protocol [3] is extended to minimize this cost, while ensuring queue stability for all stabilizable traffic demands, and without requiring any information about network topology or packet arrivals. This is the first time in literature that such a multiclass routing penalty can be minimized at network layer subject to queue stability. Further, when all links are of unit cost factor, our protocol here reduces to the one in our recent paper [4], leading to minimum average network delay among all routing protocols that act based only on current queue congestion and current channel states. Our approach is based on mapping a communication network into an electrical network by showing that the fluid limit of wireless network under our routing protocol follows Ohm's law on a nonlinear resistive network.

References

[1]

N. Baccour, A. Koubaa, L. Mottola, M. Zuniga, Y. Habib, C. Boano, and M. Alves. Radio link quality estimation in wireless sensor networks: a survey. ACM Tr. Senor Networks, 34:1{33, 2012.

Digital Library

[2]

R. Banirazi, E. Jonckheere, and B. Krishnamachari. Heat diffusion algorithm for resource allocation and routing in multihop wireless networks. In GLOBECOM, 2012.

[3]

R. Banirazi, E. Jonckheere, and B. Krishnamachari. Heat-Diffusion: Pareto optimal dynamic routing for time-varying wireless networks. In INFOCOM, 2014.

[4]

R. Banirazi, E. Jonckheere, and B. Krishnamachari. Minimum delay in class of throughput-optimal control policies on wireless networks. In ACC, 2014.

[5]

R. Banirazi, E. Jonckheere, and B. Krishnamachari. Dirichlet's principle on multiclass multihop wireless networks: minimum cost routing subject to stability. Available at http://eudoxus2.usc.edu, USC, 2014.

Digital Library

[6]

R. Banirazi, E. Jonckheere, and B. Krishnamachari. Wireless network thermodynamics: interfering stochastic multiclass diffusion on limited capacity. Available at http://eudoxus2.usc.edu, USC, 2014.

[7]

M. Bramson. Stability of queueing networks. Probability Surveys, 5:169--345, 2008.

[8]

L. Bui, S. Sanghavi, and R. Srikant. Distributed link scheduling with constant overhead. IEEE/ACM Tr. Networking, 17:1467--1480, 2009.

Digital Library

[9]

J. Dai. Stability of fluid and stochastic processing networks. MaPhySto Misc. Pub., no. 9, 1999.

[10]

A. Eryilmaz and R. Srikant. Fair resource allocation wireless networks using queue-length-based scheduling and congestion control. In INFOCOM, 2005.

[11]

L. Evans. Partial Differential Equations. American Mathematical Society, 1998.

[12]

L. Jiang and J. Walrand. Approaching throughput optimality in distributed csma scheduling algorithms with collisions. IEEE/ACM Tr. Networking, 19:816{829, 2011.

Digital Library

[13]

L. Lin, N. Shroff, and R. Srikant. Asymptotically optimal power-aware routing for multihop wireless networks with renewable energy sources. In INFOCOM, 2005.

[14]

X. Lin and N. Shroff. Joint rate control and scheduling in multihop wireless networks. In CDC, 2004.

[15]

S. Moeller, A. Sridharan, B. Krishnamachari, and O. Gnawali. Routing without routes: the backpressure collection protocol. In IPSN, 2010.

Digital Library

[16]

M. Neely. Energy optimal control for time varying wireless networks. In INFOCOM, 2005.

[17]

M. Neely. Stochastic Network Optimization with Application to Communication and Queuing Systems. Morgan & Claypool, 2010.

Digital Library

[18]

M. Neely. Optimal energy and delay tradeoffs for multiuser wireless downlinks. IEEE Tr. Information Theory, 53:3095{3113, 2007.

Digital Library

[19]

M. Neely, E. Modiano, and C. Li. Fairness and optimal stochastic control for heterogeneous networks. In INFOCOM, 2005.

[20]

M. Neely, E. Modiano, and C. Rohrs. Dynamic power allocation and routing for time varying wireless networks. In INFOCOM, 2003.

[21]

E. Stai, J. Baras, and S. Papavassiliou. Throughput-delay tradeoff in wireless multi-hop networks via greedy hyperbolic embedding. In MTNS, 2012.

[22]

A. Stolyar. Maximizing queueing network utility subject to stability: greedy primal-dual algorithm. Queueing Systems, 50:401--457, 2005.

Digital Library

[23]

L. Tassiulas and A. Ephremides. Stability of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks. IEEE Tr. Automatic Control, 37:1936--1949, 1992.

[24]

F. Wu, S. Zhong, and C. Qiaoi. Globally optimal channel assignment for non-cooperative wireless networks. In INFOCOM, 2008.

[25]

L. Ying, S. Shakkottai, A. Reddy, and S. Liu. On combining shortest-path and back-pressure routing over multi-hop wireless networks. IEEE/ACM Tr. Networking, 19:841--854, 2011.

Digital Library

[26]

Y. Yu, B. Krishnamachari, and V. Prasanna. Energy-latency tradeoffs for data gathering in wireless sensor networks. In INFOCOM, 2004.

Cited By

Banirazi RJonckheere EKrishnamachari B(2020)Heat-Diffusion: Pareto Optimal Dynamic Routing for Time-Varying Wireless NetworksIEEE/ACM Transactions on Networking10.1109/TNET.2020.2991745(1-14)Online publication date: 2020
https://doi.org/10.1109/TNET.2020.2991745
Chi ZLi YSun HYao Zhu T(2019)Concurrent Cross-Technology Communication Among Heterogeneous IoT DevicesIEEE/ACM Transactions on Networking (TON)10.1109/TNET.2019.290875427:3(932-947)Online publication date: 15-Jul-2019
https://dl.acm.org/doi/10.1109/TNET.2019.2908754
Sia JJonckheere EBogdan P(2019)Ollivier-Ricci Curvature-Based Method to Community Detection in Complex NetworksScientific Reports10.1038/s41598-019-46079-x9:1Online publication date: 5-Jul-2019
https://doi.org/10.1038/s41598-019-46079-x
Show More Cited By

Index Terms

Dirichlet's principle on multiclass multihop wireless networks: minimum cost routing subject to stability
1. Computer systems organization
  1. Architectures
    1. Distributed architectures
2. Networks

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cover image ACM Conferences

MSWiM '14: Proceedings of the 17th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems

September 2014

352 pages

ISBN:9781450330305

DOI:10.1145/2641798

General Chairs:
Ravi Prakash
University of Texas at Dallas, USA
,
Azzedine Boukerche
University of Ottawa, Canada
,
Program Chairs:
Cheng Li
Memorial University of Newfoundland, Canada
,
Falko Dressler
University of Paderborn, Germany

Copyright © 2014 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 21 September 2014

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MSWiM'14: 17th ACM International Conference on Modeling, Analysis and Simulation of Wireless and Mobile Systems

September 21 - 26, 2014

QC, Montreal, Canada

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MSWiM '14 Paper Acceptance Rate 32 of 128 submissions, 25%;

Overall Acceptance Rate 398 of 1,577 submissions, 25%

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Cited By

Banirazi RJonckheere EKrishnamachari B(2020)Heat-Diffusion: Pareto Optimal Dynamic Routing for Time-Varying Wireless NetworksIEEE/ACM Transactions on Networking10.1109/TNET.2020.2991745(1-14)Online publication date: 2020
https://doi.org/10.1109/TNET.2020.2991745
Chi ZLi YSun HYao Zhu T(2019)Concurrent Cross-Technology Communication Among Heterogeneous IoT DevicesIEEE/ACM Transactions on Networking (TON)10.1109/TNET.2019.290875427:3(932-947)Online publication date: 15-Jul-2019
https://dl.acm.org/doi/10.1109/TNET.2019.2908754
Sia JJonckheere EBogdan P(2019)Ollivier-Ricci Curvature-Based Method to Community Detection in Complex NetworksScientific Reports10.1038/s41598-019-46079-x9:1Online publication date: 5-Jul-2019
https://doi.org/10.1038/s41598-019-46079-x
Wang CJonckheere E(2019)Simulated versus reduced noise quantum annealing in maximum independent set solution to wireless network schedulingQuantum Information Processing10.1007/s11128-018-2117-118:1(1-25)Online publication date: 1-Jan-2019
https://dl.acm.org/doi/10.1007/s11128-018-2117-1
Ghosh PGasparri AJin JKrishnamachari B(2019)Robotic Wireless Sensor NetworksMission-Oriented Sensor Networks and Systems: Art and Science10.1007/978-3-319-92384-0_16(545-595)Online publication date: 19-Sep-2019
https://doi.org/10.1007/978-3-319-92384-0_16
Ghosh PRen HBanirazi RKrishnamachari BJonckheere E(2017)Empirical evaluation of the heat-diffusion collection protocol for wireless sensor networksComputer Networks: The International Journal of Computer and Telecommunications Networking10.1016/j.comnet.2017.08.018127:C(217-232)Online publication date: 9-Nov-2017
https://dl.acm.org/doi/10.1016/j.comnet.2017.08.018
Chi ZLi YSun HYao YLu ZZhu T(2016)B2W2Proceedings of the 14th ACM Conference on Embedded Network Sensor Systems CD-ROM10.1145/2994551.2994561(245-258)Online publication date: 14-Nov-2016
https://dl.acm.org/doi/10.1145/2994551.2994561

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