Multitask Offloading Strategy for Edge Computing in Time-Sensitive Networking

Table 1

Summary of notations and definitions.

Notation	Definition
	The edge device i,
	The ECS n,
	The set of edge devices,
	The set of ECSs,
	a task generated on
	The size of the unoffloadable tasks on , including code and data
	The size of the offloadable tasks on , including code and data
	The processing density of tasks in
	The arrival rate of the unoffloadable tasks generated on
	If , the arrival rate of tasks computed locally in if , the arrival rate of tasks offloaded from to
	The sum of arrival rates of offloadable tasks generated on ,
	The arrival rate of the original TSN stream of priority p to in the TSN gateway
	The available maximum offloading task arrival rate from all edge devices to
v	The bandwidth of the TSN network
	If , the execution time of tasks computed locally in if , the execution time of the tasks generated on and computed remotely in
	Mean of
	The average time that the members of the hybrid streams spend in queue
	If , the average time cost of the tasks computed locally in if , the average time cost of the tasks generated on and computed remotely in
	The average time cost when all tasks are processed locally in
	The average time cost of all tasks generated on
	The average waiting time of the tasks from all edge devices to spent in TSN gateway
	The length of the original TSN packages in queue
	The service interrupted time of queue
	The service time of the original the TSN substream in
	All the service time of the compound stream in
	The processing frequency of
	The processing frequency of
	The multi-task offloading game
	The task offloading strategy of the
	The task offloading strategy set of all edge devices except
	The task offloading strategy space of all edge devices
	The accuracy parameter