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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… (More)

- Reza Banirazi, Edmond A. Jonckheere, Bhaskar Krishnamachari
- IEEE INFOCOM 2014 - IEEE Conference on Computer…
- 2014

A new routing policy, named Heat-Diffusion (HD), is developed for multihop wireless networks subject to stochastic arrivals, time-varying topology, and inter-channel interference, using only current queue congestion and current channel states, without requiring the knowledge of topology and arrivals. Besides throughput optimality, HD minimizes a quadratic… (More)

- Reza Banirazi, Edmond A. Jonckheere, Bhaskar Krishnamachari
- GLOBECOM
- 2012

We propose a new scheduling and routing approach, the Heat Diffusion (HD) protocol, using combinatorial analogue of the heat equation in mathematical physics. The algorithm holds for systems subject to time-varying network conditions with general packet arrivals and random topology states, including ad-hoc networks with mobility. Compared to the well-known… (More)

- Chi Wang, Edmond A. Jonckheere, Reza Banirazi
- ACC
- 2014

Negative curvature in the relatively new OllivierRicci sense of a wireless network graph is shown to be the culprit behind large queue occupancy, large routing energy, and restricted capacity region under any throughput optimal protocol. This is the wireless counterpart of the congestion phenomenon occurring in a Gromov negatively curved wired network under… (More)

- Reza Banirazi, Edmond A. Jonckheere
- CDC
- 2010

Motivated by the concept of the smart power grid, reliability of a power network is investigated from a topological viewpoint. Inspired from Riemannian geometry of manifolds, it is claimed that extreme load at specific parts of a large power grid can occur as a consequence of the local negative curvature in its hidden metric space. This paper contributes to… (More)

This paper considers the problem of average network delay minimization on multiclass, multihop, stochastic wireless networks subject to inter-channel interference and timevarying topology. We present a network control policy that solves this problem in the class of all policies whose control decision is a function only of current queue congestion and… (More)

- Chi Wang, Edmond A. Jonckheere, Reza Banirazi
- ACC
- 2016

This paper proceeds from the premise that the topology of interference constrained wireless networks heavily impacts their node-to-node delay, routing energy, and capacity region. We quantitatively analyze how the discrete OllivierRicci curvature of a network affects the performance metrics of several routing protocols. Since different protocols are optimal… (More)

In this paper, we develop a continuousgeometry/continuous-time model of a sensor network, which under a variant of the back-pressure protocol—the so-called diffusion protocol—sends data received from the various sensors to a central “sink.” This model is motivated by the necessity to understand how the wireless link graph topology affects network stability.… (More)

Heat-Diffusion (HD) routing is our recently-developed queue-aware routing policy for multi-hop wireless networks inspired by Thermodynamics. In the prior theoretical studies, we have shown that HD routing guarantees throughput optimality, minimizes a quadratic routing cost, minimizes queue congestion on the network, and provides a trade-off between routing… (More)

- Yashar Madjidi, Bijan Shirinzadeh, Reza Banirazi, Yanling Tian, Julian Smith, Yongmin Zhong
- 2009 2nd International Conference on Biomedical…
- 2009

This paper evaluates the ability of a gradient-free estimation method using genetic algorithm (GA) to model the elastic stress response of the anterior cruciate ligament (ACL) based on quasi-linear viscoelastic (QLV) theory. The improved GA simultaneously fits the ramping and relaxation experimental data to the QLV constitutive equation to obtain the soft… (More)