Task Allocation Optimization Scheme Based on Queuing Theory for Mobile Edge Computing in 5G Heterogeneous Networks

Algorithm 1

Newton algorithm

(1)	Initial feasible point , define as a sufficiently small positive real number, .
(2)	Calculate and .
(3)	If,
	it should stop iterating;
	else
	determine the search direction
(4)	Calculate next iteration points:
(5)	and turn to step 2.
	where is the gradient vector of the objective function, is the inverse of the Hessian matrix, and the Newton iteration direction is . Each iteration of the Newton algorithm needs to solve the inverse of the Hessian matrix of the objective function, so that the calculation is complicated.