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Two-Hop Connectivity to the Roadside in a VANET Under the Random Connection Model
- Source :
- IEEE Transactions on Vehicular Technology. 72:5508-5512
- Publication Year :
- 2023
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2023.
-
Abstract
- In this paper, we compute the expected number of vehicles with at least one two-hop path to a fixed roadside unit (RSU) in a multi-hop, one-dimensional vehicular ad hoc network (VANET) where other cars can act as relays. The pairwise channels experience Rayleigh fading in the random connection model, and so exist, with a probability given by a function of the mutual distance between the cars, or between the cars and the RSU. We derive exact expressions for the expected number of cars with a two-hop connection to the RSU when the car density $\rho$ tends to zero and infinity, and determine its behaviour using an infinite oscillating power series in $\rho$, which is accurate for all regimes of traffic density. We also corroborate those findings with a realistic scenario, using snapshots of actual traffic data. Finally, a normal approximation is discussed for the probability mass function of the number of cars with a two-hop connection to the RSU.<br />Comment: 5 pages, 5 figures
- Subjects :
- Networking and Internet Architecture (cs.NI)
FOS: Computer and information sciences
Statistical Mechanics (cond-mat.stat-mech)
Computer Networks and Communications
Information Theory (cs.IT)
Computer Science - Information Theory
Probability (math.PR)
ComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKS
FOS: Physical sciences
Aerospace Engineering
Data_CODINGANDINFORMATIONTHEORY
Computer Science - Networking and Internet Architecture
ComputerSystemsOrganization_MISCELLANEOUS
Automotive Engineering
FOS: Mathematics
Computer Science::Networking and Internet Architecture
Mathematics - Combinatorics
Combinatorics (math.CO)
Electrical and Electronic Engineering
Condensed Matter - Statistical Mechanics
Mathematics - Probability
Subjects
Details
- ISSN :
- 19399359 and 00189545
- Volume :
- 72
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Vehicular Technology
- Accession number :
- edsair.doi.dedup.....cf2ead48ed3be2e1d3207669b36eddca