School Timetabling--A Case in Large Binary Integer Linear Programming

• Published in: Management science Vol. 30; no. 12; pp. 1473 - 1489
• Main Author: Tripathy, Arabinda
• Format: Journal Article
• Language: English
• Published: Linthicum, MD INFORMS 01.12.1984; Institute of Management Sciences; Institute for Operations Research and the Management Sciences
• Series: Management Science
• Subjects: Algorithms; applications; Applied sciences; Exact sciences and technology; Groups; Heuristics; Integer programming; Integers; Integrality; Iterative solutions; Lagrangean relaxation; Linear programming; Management science; Mathematical models; Mathematical programming; Objective functions; Operational research and scientific management; Operational research. Management science; Optimization; Planning. Forecasting; programming: integer; Scheduling; Schools; Students; Transportation; Variable coefficients; Integer programming; Relaxation method; Linear programming; Planning; Mathematical programming

A timetabling problem is formulated as a large integer linear programming problem in 0-1 variables. A solution method based on Lagrangean relaxation coupled with subgradient optimization is presented. The solution method also incorporates a branch and bound procedure which takes advantage of special...