A hybridized Lagrangian relaxation and simulated annealing method for the course timetabling problem

• Main Authors: GUNAWAN, Aldy, POH, Kim Leng
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2012
• Subjects: Timetabling; Mathematical programming; Lagrangian relaxation; Simulated annealing; Programming Languages and Compilers; Software Engineering
• Online Access: https://ink.library.smu.edu.sg/sis_research/3983; https://ink.library.smu.edu.sg/context/sis_research/article/4985/viewcontent/A_hybridized_Lagrangian_relaxation_and_simulated_annealing_method_for_the_course_timetabling_problem.pdf
• Institution: Singapore Management University

This paper describes a timetabling problem at universities, where a master course timetable is given extrinsically and conflicts due to students' course enrollment do not need to be considered. A solver for the problem, which integrates both teacher assignment and course scheduling, is described. An initial solution is obtained by a mathematical programming approach based on Lagrangian relaxation. This solution is further improved by a simulated annealing algorithm. The proposed method has been tested on instances from a university in Indonesia, as well as on several randomly generated datasets, and the corresponding computational results are reported.