Stochastic analysis of Aloha in vehicular ad hoc networks

Błaszczyszyn, Bartłomiej; Mühlethaler, Paul; Toor, Yasser

doi:10.1007/s12243-012-0302-2

Cited by 46 publications

(27 citation statements)

References 9 publications

(21 reference statements)

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“…The terms J 1 and J 2 would also include integrals of sums over the negative half-axis; instead of scaling by two the corresponding integrals over the positive half-axis. Due to the fact that the RV z ′ is also uniform, z ′ = U (0, c), the terms J 1 and J 2 for ǫ > 0 ends up equal to equations (18) and (19). The term J 3 contains the crossterms, over the two axes, thus it requires to average over the PMF of the RV z ′ given z.…”

Section: Interference Due To a Latticementioning

confidence: 99%

Moments of Interference in Vehicular Networks With Hardcore Headway Distance

Koufos

Dettmann

2018

IEEE Trans. Wireless Commun.

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Interference statistics in vehicular networks have long been studied using the Poisson Point Process (PPP) for the locations of vehicles. In roads with few number of lanes and restricted overtaking, this model becomes unrealistic because it assumes that the vehicles can come arbitrarily close to each other. In this paper, we model the headway distance (the distance between the head of a vehicle and the head of its follower) equal to the sum of a constant hardcore distance and an exponentially distributed random variable. We study the mean, the variance and the skewness of interference at the origin with this deployment model. Even though the pair correlation function becomes complicated, we devise simple formulae to capture the impact of hardcore distance on the variance of interference in comparison with a PPP model of equal intensity. In addition, we study the extreme scenario where the interference originates from a lattice. We show how to relate the variance of interference due to a lattice to that of a PPP under Rayleigh fading.

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Section: Interference Due To a Latticementioning

confidence: 99%

Moments of Interference in Vehicular Networks With Hardcore Headway Distance

Koufos

Dettmann

2018

IEEE Trans. Wireless Commun.

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“…Γ(a, x) = ∞ x t a−1 e −t dt is the incomplete Gamma function. Due to the fact that x ≥ r 0 and µ = λ 1−λc ≥ λ, when there are, on average, many vehicles inside the cell, or equivalently λr 0 ≫ 1, we may approximate the integrand in (7) for large w. After approximating up to w −1 order we have…”

Section: Approximation For the Covariancementioning

confidence: 99%

Temporal Correlation of Interference in Vehicular Networks With Shifted-Exponential Time Headways

Koufos

Dettmann

2019

IEEE Wireless Commun. Lett.

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We consider a one-dimensional vehicular network where the time headway (time difference between successive vehicles as they pass a point on the roadway) follows the shiftedexponential distribution. We show that neglecting the impact of shift in the deployment model, which degenerates the distribution of vehicles to a Poisson Point Process, overestimates the temporal correlation of interference at the origin. The estimation error becomes large at high traffic conditions and small time-lags.

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“…Stochastic geometry is a powerful mathematical tool for modeling random spatial events and has been applied to the area of vehicular networks [21], [22], [23], [24], [28], [29], [26], [27], [25]. By modeling the locations of communication devices, such as vehicles and road side units (RSUs), as a spatial point process, theoretical values of various performance metrics can be calculated.…”

Section: Related Workmentioning

confidence: 99%

“…Recall here that M RY (ρ) is negligible in this case due to the distance between the transmitter and the y-axis. Thus, by using (18), (20), (21), and Proposition III.2, we can approximate M Q (ρ) and M RX (ρ) as below. Approximate formulae of M in case (B):…”

Section: B Case (B): Transmitter At End Of Queuementioning

confidence: 99%

Theoretical Performance Analysis of Vehicular Broadcast Communications at Intersection and Their Optimization

Kimura

Saitō

2019

2019 31st International Teletraffic Congress (ITC 31)

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Cooperative vehicle safety (CVS) systems are a key application of intelligent transportation systems because they include many applications, such as cooperative collision warning. In CVS systems, vehicles periodically broadcast their information, e.g., position and speed. In this paper, we propose an optimization method for the broadcast rate in vehicle-to-vehicle (V2V) broadcast communications at an intersection on the basis of theoretical analysis. We consider a model in which locations of vehicles are modeled separately as queuing and running segments and derive key performance metrics of V2V broadcast communications via a stochastic geometry approach. Since these theoretical expressions are mathematically intractable, we developed closed-form approximate formulae for them. Using them, we optimize the broadcast rate such that the mean number of successful receivers per unit time is maximized. Because of the closed form approximation, the optimal rate can be used as a guideline for a real-time control-method, which is not achieved through time-consuming simulations. We evaluated our method through numerical examples and demonstrated the effectiveness of our method.

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Stochastic analysis of Aloha in vehicular ad hoc networks

Cited by 46 publications

References 9 publications

Moments of Interference in Vehicular Networks With Hardcore Headway Distance

Moments of Interference in Vehicular Networks With Hardcore Headway Distance

Temporal Correlation of Interference in Vehicular Networks With Shifted-Exponential Time Headways

Theoretical Performance Analysis of Vehicular Broadcast Communications at Intersection and Their Optimization

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