Table 2.

Problem Constraints and Notations.

Notations	Description
I	Number of fine-grained healthcare functions
i	Fine-grained function I
W	Amount of function data
$w_i$	Particular data of function i
$d_i$	Deadline of fine-grained function i
M	Number of client nodes
m	Particular node such as mobile
${ϵ}_m$	Resources of particular node
${\zeta }_m$	Speed of node m
K	Number of homogeneous fog nodes
k	Particular node such as fog node k
${ϵ}_k$	Resources of particular node
${\zeta }_c$	Cloud storage processing node
${\zeta }_k$	Speed of node k
$BC$	Number of blockchain blocks
$Hash$	Hash of the block
$Pre$-$hash$	Pre-Hash of the block
$Private$-$Key$	Private key of the block
$Public$-$Key$	Public key of the block
S	Number of cloud storage available
s	Particular storage of cloud
$logn\left(\frac{N}{noise}\right)$	Logarithm of inference N and network noise
$Bandwidth$	Available bandwidth network