H, S	Set of HNs and TN tasks
k, m	Number of HNs and number of TNs
$W_m$, r	TN task size and number of sub-tasks to offload (quota)
${\alpha }_{loc}$, ${\alpha }_k$	Percentage of task locally computed and offloaded to HNs
$T_m^{max}$, $T_m^{FL}$	Task deadline and task local computation time
$C_k$, $C_m$, $C_r$	HN CPU speed, TN CPU speed, and CPU cycles to compute one bit of task
$B_k$, $R_k$	Bandwidth between HN and TN and transmission rate
$\sigma$, $g_k$	White-noise power and channel gain
$P_m^t$	TN transmit power
$T_k^t$, $T_{seq}$	Sub-task transmission time and sequence time
$T_m^{tx}$, $T_m^l$	All sub-task transmission time and local computation time
$T_k^c$, $T_k^m$	HN computation time and HN latency for sub-task
$T_m$, q	Task total latency and quota of HN
${\succ }_H$, ${\succ }_S$	HN preference profile and TN task preference profile
$H_k^A$, $S_m^A$	Association set of $H_n$ with TN tasks and TN task $S_m$ with HNs