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Table 1 Abbreviations and notations

From: Energy-efficient renewable scheme for rechargeable sensor networks

WSN

Wireless sensor network

WET

Wireless energy transfer

ERSVC

Energy-efficient renewable scheme with variable cycle

 

(proposed scheme)

TSP

Traveling salesman problem

ECPM

Energy consumption per mile

MCV

Mobile charging vehicle

Emin

Minimum energy required to keep a sensor node operational

\(\mathcal {N}\)

The set of sensor nodes in the network

O

The service station

B

The base station

Emax

Full battery capacity at a sensor node

Ri

Data rate generated by node i

pi

The power consumption of node i

ti

Charging time of node i

V

Traveling speed of MCV

U

Energy transfer rate of MCV

T

Period of a trip cycle of MCV

Ti

Charging period of node i

Ti′

Time interval between two adjacent arrivals at node i

xij(or xiB)

Flow rate from node i to node j (or base station)

βij(or βiB)

Power consumption for transmitting a unit of data from node i

 

to node j (or base station)

βr

Power consumption for receiving a unit of data rate

dij

Distance between node i and node j

α

Path loss index

Ptotal

Total power consumption in the system

λ

Efficiency of non-radiative energy transfer

ηvac

The ratio of MCV’s vacation time

tvac

MCV’s vacation time at service station

r

The number of set needs to be classified

Sk

The defined set needs to be classified

Fj

The set of nodes which should be visited during the jth cycle

Pj

The traveling path of MCV during the jth cycle