Up- and Downlink Admission/Congestion Control and Maximal Load in Large Homogeneous CDMA Networks

Baccelli, François; Błaszczyszyn, Bartłomiej; Karray, Mohamed Kadhem

doi:10.1023/b:mone.0000042499.64488.ba

Cited by 25 publications

(54 citation statements)

References 12 publications

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“…A simple sufficient condition for the spectral radius of F to be less than η is that each row sum of F is less than η. In general, we can set η strictly less than 1 as a safety margin, as suggested in [1]. Setting η = 1, γ is feasible if for all i we have…”

Section: Assignment Of Sinr Valuesmentioning

confidence: 99%

Wireless Channel Parameters Maximizing TCP Throughput

Baccelli¹,

Cruz²,

Nucci

2007

Wireless Communications

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Abstract-We consider a single TCP session traversing a wireless channel, with a constant signal to noise ratio (SINR) at the receiver. We consider the problem of determining the optimal transmission energy per bit, to maximize TCP throughput. Specifically, in the case where direct sequence spread spectrum modulation is used over a fixed bandwidth channel, we find the optimal processing gain m that maximizes TCP throughput. Block codes applied to each packet for forward error correction can also be used, and in that case we consider the joint optimization of the coding rate to maximize TCP throughput. Finally, we discuss the issue of assigning target SINR values. In order to carry out our analysis, we obtain a TCP throughput formula in terms of the packet transmission error probability p and the transmission capacity C, which is of independent interest. In our TCP model, the window size is cut in half for each packet transmission loss, and also cut in half whenever the window size exceeds the transmission capacity C.

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Section: Assignment Of Sinr Valuesmentioning

confidence: 99%

Wireless Channel Parameters Maximizing TCP Throughput

Baccelli¹,

Cruz²,

Nucci

2007

Wireless Communications

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“…Namely, as the probability, that the free process is close to the boundary of the truncated part of the space; 3 . However, for a complicated admission condition (complicated form of the space truncation) it is difficult or even impossible to evaluate analytically this probability, even in the (most simple) Poisson case of the stationary distribution of the free process.…”

Section: B Multi-rate Erlang Loss Model and Its Blocking Probabilitiesmentioning

confidence: 99%

“…The present work adopts the approach proposed in [6] (with a background in [2,3,12]) that is implemented in the dimensioning tool of Orange. It consists in proposing some "virtual" network control mechanism (not necessarily meant to be implemented in network controllers) that however is simple enough and can by studied by the classical tools of queueing theory.…”

Section: Related Workmentioning

confidence: 99%

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Dimensioning of the downlink in OFDMA cellular networks via an Erlang's loss model

Błaszczyszyn

Karray

2009

2009 European Wireless Conference

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In this paper we propose the following approach to the dimensioning of the radio part of the downlink in OFDMA networks. First, we use information theory to characterize the bitrate in the channel from a base station to its mobile. It depends on the power and bandwidth allocated to this mobile. Then, we describe the resource (power and bandwidth) allocation problem and characterise feasible configurations of bit-rates of all users. As the key element, we propose some particular sufficient condition (in a multi-Erlang form) for a given configuration of bit-rates to be feasible. Finally, we consider an Erlang's loss model, in which streaming arrivals whose admission would lead to the violation of this sufficient condition are blocked and lost. In this model, the blocking probabilities can be calculated using Kaufman-Roberts algorithm. We propose it to evaluate the minimal density of base stations assuring acceptable blocking probabilities for a streaming traffic of a given load per surface unit. We validate this approach by comparison of the blocking probabilities to these simulated in the similar model in which the admission control is based on the original feasibility property (instead of its sufficient condition). Our sufficient bit-rate feasibility condition can also be used to dimension the network with respect to the elastic traffic.

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“…To consider the random locations of nodes and the interference, we use stochastic geometry [6,7], which is recently widely used in the analysis of wireless networks. Interference depends upon the path loss and the fading characteristics of wireless channels.…”

Section: Introductionmentioning

confidence: 99%

Optimal Design for One-Dimensional ALOHA Ad Hoc Networks Based on Stochastic Geometry

Lee

Hwang

2015

International Journal of Distributed Sensor Networks

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The aims of this paper are to analyze the performance of a one-dimensional ALOHA ad hoc network and to investigate the impact of the access probability of the ALOHA protocol on the network performance. As a performance metric we consider the average number of nodes that successfully receive a packet from an arbitrary node. To mathematically model the random locations of nodes and the interference in the ad hoc network, we use stochastic geometry theory. With the help of stochastic geometry theory, we model the ad hoc network, derive an analytic form of the performance metric, and finally obtain the optimal access probability that maximizes the performance metric. Numerical examples are provided to validate our analysis and to investigate the performance behavior.

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Up- and Downlink Admission/Congestion Control and Maximal Load in Large Homogeneous CDMA Networks

Cited by 25 publications

References 12 publications

Wireless Channel Parameters Maximizing TCP Throughput

Wireless Channel Parameters Maximizing TCP Throughput

Dimensioning of the downlink in OFDMA cellular networks via an Erlang's loss model

Optimal Design for One-Dimensional ALOHA Ad Hoc Networks Based on Stochastic Geometry

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