Optimal Parking Slots Reservation and Allocation Problem for Periodic Parking Platforms with Preference Constraints

Algorithm 3

TOPSIS-SA algorithm for OM.

(1)	Set the objective function as .
(2)	Input: , , .
(3)	Output: .
(4)	Set initial temperature , termination temperature , temperature attenuation coefficient , iteration number .
(5)	Initialize: ; randomly generate the initial solution and assign it as the optimal solution, which is .
(6)	for do
(7)	.
(8)	fordo
(9)	Perturb to produce a new solution which is .
(10)	if is better than then
(11)	.
(12)	.
(13)	else if
(14)	.
(15)	else
(16)	.
(17)	end
(18)	.
(19)	end
(20)	Set the objective function as .
(21)	Repeat Step 2 to Step 19 and the solution of is .
(22)	Set the objective function as .
(23)	Repeat Step 2 to Step 19.
(24)	The algorithm terminates and the optimal allocation scheme is output.