MATLAB Simulation of Simulated Annealing Algorithm in Curriculum Table Optimization
With the continuous deepening of education reform, more and more courses are offered in schools, how to effectively formulate and arrange class schedules has become a very important issue. For a university or high school, every semester needs to design a reasonable schedule that satisfies all students. How to ensure the maximum utilization of resources and achieve a balance between all students and teachers is a difficult problem that needs to be solved.
This article will introduce how to use the simulated annealing algorithm to optimize the curriculum. The simulated annealing algorithm is a global optimization algorithm that searches for the optimal solution by simulating the physical annealing process. In this article, we will use MATLAB for simulation experiments.
First, we need to determine our objective function. In the design of the curriculum, we need to consider the following factors: there should be no conflict between courses, the same courses should be assigned to different time periods as much as possible, and the time arrangement of teachers and students should be as sufficient and even as possible. Therefore, we can define our objective function as:
min f ( x ) = ∑ i = 1 n