3,587 research outputs found
Stable Wireless Network Control Under Service Constraints
We consider the design of wireless queueing network control policies with
particular focus on combining stability with additional application-dependent
requirements. Thereby, we consequently pursue a cost function based approach
that provides the flexibility to incorporate constraints and requirements of
particular services or applications. As typical examples of such requirements,
we consider the reduction of buffer underflows in case of streaming traffic,
and energy efficiency in networks of battery powered nodes. Compared to the
classical throughput optimal control problem, such requirements significantly
complicate the control problem. We provide easily verifyable theoretical
conditions for stability, and, additionally, compare various candidate cost
functions applied to wireless networks with streaming media traffic. Moreover,
we demonstrate how the framework can be applied to the problem of energy
efficient routing, and we demonstrate the aplication of our framework in
cross-layer control problems for wireless multihop networks, using an advanced
power control scheme for interference mitigation, based on successive convex
approximation. In all scenarios, the performance of our control framework is
evaluated using extensive numerical simulations.Comment: Accepted for publication in IEEE Transactions on Control of Network
Systems. arXiv admin note: text overlap with arXiv:1208.297
Optimal Control of Software Ensuring Safety and Functionality
Existing verification and validation methodologies can detect software violations very effectively but fail to provide any mechanism for correcting faults once they are detected. Detection of faults, their diagnosis and corrective actions are all essential components of any software rectification framework. In this paper, we propose a framework for correction of violations in software systems ensuring that the desired goals of the system are achieved. We describe a stochastic finite state machine used to abstract a software system along with the uncertainty in its operating environment. Safety property violations and satisfaction of functionalities are abstracted using penalties and rewards on the states, respectively. Rectification of software is then formulated as a stochastic optimal control problem over this abstraction. Algorithms polynomial in the size of the abstraction have been developed for solving this optimization problem exactly. The paper also applies the developed framework to a variety of examples from different domains
On Resource Allocation in Fading Multiple Access Channels - An Efficient Approximate Projection Approach
We consider the problem of rate and power allocation in a multiple-access
channel. Our objective is to obtain rate and power allocation policies that
maximize a general concave utility function of average transmission rates on
the information theoretic capacity region of the multiple-access channel. Our
policies does not require queue-length information. We consider several
different scenarios. First, we address the utility maximization problem in a
nonfading channel to obtain the optimal operating rates, and present an
iterative gradient projection algorithm that uses approximate projection. By
exploiting the polymatroid structure of the capacity region, we show that the
approximate projection can be implemented in time polynomial in the number of
users. Second, we consider resource allocation in a fading channel. Optimal
rate and power allocation policies are presented for the case that power
control is possible and channel statistics are available. For the case that
transmission power is fixed and channel statistics are unknown, we propose a
greedy rate allocation policy and provide bounds on the performance difference
of this policy and the optimal policy in terms of channel variations and
structure of the utility function. We present numerical results that
demonstrate superior convergence rate performance for the greedy policy
compared to queue-length based policies. In order to reduce the computational
complexity of the greedy policy, we present approximate rate allocation
policies which track the greedy policy within a certain neighborhood that is
characterized in terms of the speed of fading.Comment: 32 pages, Submitted to IEEE Trans. on Information Theor
A rolling-horizon quadratic-programming approach to the signal control problem in large-scale congested urban road networks
The paper investigates the efficiency of a recently developed signal control methodology, which offers a computationally feasible technique for real-time network-wide signal control in large-scale urban traffic networks and is applicable also under congested traffic conditions. In this methodology, the traffic flow process is modeled by use of the store-and-forward modeling paradigm, and the problem of network-wide signal control (including all constraints) is formulated as a quadratic-programming problem that aims at minimizing and balancing the link queues so as to minimize the risk of queue spillback. For the application of the proposed methodology in real time, the corresponding optimization algorithm is embedded in a rolling-horizon (model-predictive) control scheme. The control strategy’s efficiency and real-time feasibility is demonstrated and compared with the Linear-Quadratic approach taken by the signal control strategy TUC (Traffic-responsive Urban Control) as well as with optimized fixed-control settings via their simulation-based application to the road network of the city centre of Chania, Greece, under a number of different demand scenarios. The comparative evaluation is based on various criteria and tools including the recently proposed fundamental diagram for urban network traffic
Efficient Simulation and Conditional Functional Limit Theorems for Ruinous Heavy-tailed Random Walks
The contribution of this paper is to introduce change of measure based
techniques for the rare-event analysis of heavy-tailed stochastic processes.
Our changes-of-measure are parameterized by a family of distributions admitting
a mixture form. We exploit our methodology to achieve two types of results.
First, we construct Monte Carlo estimators that are strongly efficient (i.e.
have bounded relative mean squared error as the event of interest becomes
rare). These estimators are used to estimate both rare-event probabilities of
interest and associated conditional expectations. We emphasize that our
techniques allow us to control the expected termination time of the Monte Carlo
algorithm even if the conditional expected stopping time (under the original
distribution) given the event of interest is infinity -- a situation that
sometimes occurs in heavy-tailed settings. Second, the mixture family serves as
a good approximation (in total variation) of the conditional distribution of
the whole process given the rare event of interest. The convenient form of the
mixture family allows us to obtain, as a corollary, functional conditional
central limit theorems that extend classical results in the literature. We
illustrate our methodology in the context of the ruin probability , where is a random walk with heavy-tailed increments that have
negative drift. Our techniques are based on the use of Lyapunov inequalities
for variance control and termination time. The conditional limit theorems
combine the application of Lyapunov bounds with coupling arguments
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