Table 1 Major notations
From: Fuzzy logic-based integrity-oriented file transfer for highway vehicular communications
Notation | Definition |
|---|---|
\(\mathbb {N}\) | The set of vehicles on the road |
\({\vec V}_{i}(t)\) | The velocity vector of vehicle i at time t |
\({\vec V}_{j}(t)\) | The velocity vector of vehicle j at time t |
\(\vec a_{i}(t)\) | Acceleration vector of vehicle i at time t |
γ1,γ2 | Random numbers between 0 and 1 |
d i,j (t0) | Initial distance between i and j |
d i,j (t) | Distance between i and j at time t |
SD | Safety distance between two adjacent vehicles |
V min | Minimum velocity of vehicles |
V max | Maximum velocity of vehicles |
r | Communication range of vehicles |
ρ | Vehicle density |
ρ max | Vehicle density during the traffic jam |
T i,j | Predicted connection time between i and j |
Γ(μ) | Gamma function |
Ω | Average received power of received vehicle |
N r | Thermal noise power |
c k | The kth modulation rate supported by transmitter of vehicle |
E(c) | Average transmission rate between two vehicles |
s | The size of each file piece |
\(\mathbb {M}\) | The set of file pieces |
n i | The number of pieces i exactly download from S |
\(C_{i,S}^{c}\) | Communication capability between i and S |
\(r_{i}^{\textsf {RVF}}\) | Related velocity factor |
\(d_{i}^{\textsf {DF}}\) | Distance factor |
\(t_{i}^{\textsf {PCTF}}\) | Predicted connection time factor |
μ 1 | Triangular membership function of input |
μ 2 | Triangular membership function of output |
N c | The size of cluster |