$\mathcal{N}$	Consumer number
${\mathcal{A}}_i$	Appliance number
i	Consumer identifier
j	Appliance index
$a_{ij}$	Consumer i’s appliance identifier
t	Certain time
$\mathcal{RW}$	24-hour supply vector from renewables
$t_{beg}$	Earliest start time appliance
$t_{end}$	Latest final time appliance
$t_{sched}$	Scheduled start time of appliance
$\mathcal{D}$	Consumer demand
$v\mathcal{D}$	Variable demand
$f\mathcal{D}$	Fixed demand
$CF$	Consumer Flexibility
$\mathcal{L}$	Duration of the planned operation of appliance $a_{ij}$ in the next day
$SH$	Smart Home
$HEMS$	Home Energy Manager System
$HAN$	Home Arena Network
$NAN$	Neighbour Area Network
$WAN$	Wide Area Network
$IoT$	Internet Of Things
$ICT$	Information and Communication Technologies
$SG$	Smart Grid
$DSM$	Demand System Manager
$MILP$	Mixed Integer Linear Programming
$SA$	Simulates Annealing
$PSO$	Particle Search Optimisation
$GA$	Genetics Algorithm
$PS$	Pattern Search
$RR$	Round-Robin
$PLC$	Power Line Carries
$CC$	Computational Cost