Table 2 Most important notations used in CTRF.

From: A cluster-based trusted routing method using fire hawk optimizer (FHO) in wireless sensor networks (WSNs)

Notation

Description

\(sn_{i}\)

Sensor node i

N

Number of sensor nodes in the network

\(ID_{sn_{i}}\)

Identifier of \(sn_{i}\)

\(E_{TX}\)

Energy consumed by transmitter

\(E_{RX}\)

Energy consumed by receiver

\({E_{elec}}\)

Energy consumed by the electrical board of transmitter or receiver

\({E_{fs}}\)

Energy consumed by amplifier in the free space

\({E_{mp}}\)

Energy consumed by amplifier in the multi-path space

\(WDT_{ij}^{t}\)

Weighted direct trust of \(sn_{i}\) relative to \(sn_{j}\)

\(IT_{ij}^{t}\)

Indirect trust of \(sn_{i}\) relative to \(sn_{j}\)

\(FT_{ij}^{t}\)

Final trust of \(sn_{i}\) calculated by \(sn_{j}\)

\(WRR_{j}^{t}\)

Weighted reception rate of \(sn_{j}\) at a time interval \(\left[ t-1,t\right] \)

\(PDR_{j}^{t}\)

Packet delivery rate (PDR) of \(sn_{j}\) at a time interval \(\left[ t-1,t\right] \)

\(PK_{j}^{received}\left( t \right) \)

Number of packets received by \(sn_{j}\)

\(PK_{j}^{total}\left( t \right) \)

All packets transferred to \(sn_{j}\)

\(WRD_{j}^{t}\)

Weighted redundancy rate of \(sn_{j}\) at a time interval \(\left[ t-1,t\right] \)

\(RD_{j}^{t}\)

Redundancy rate of \(sn_{j}\) at a time interval \(\left[ t-1,t\right] \)

\(DupPK_{j}\left( t \right) \)

Number of duplicate packets obtained from \(sn_{j}\)

\(NewPK_{j}\left( t \right) \)

Number of non-repeated packets obtained from \(sn_{j}\)

\(ES_{j}^{t}\)

Energy state of \(sn_{j}\) at a time interval \(\left[ t-1,t\right] \)

\(EC_{j}^{t}\)

Total energy consumed by \(sn_{j}\)

\(rn_{k}\)

Recommended nodes

R

A set of all recommended nodes

k

Number of clusters in the network

\(C_{j}\)

Cluster j

\(S_{i}\)

Candidate solution i

CCH

A candidate CH set

\(f_{cost}\)

Cost function in the clustering mechanism

\(CM_r\)

Cluster member node r

\(CH_j\)

Cluster head node j

\(FH_l\)

Main fire in FHO

\(PR_q\)

l-th fire hawk in the search space

GB

q-th prey in the search space

\(CH_s\)

Source cluster head

\(E_R\)

Energy value of the route

\(Q_R\)

Quality of the path

\(T_R\)

Reliability of the path

\(Route_k\)

Route k

\(H_c\)

Number of hops in the path

\(S_R\)

Score of the route