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An Integer Programming Approach to the Subway Daily Crew Scheduling Problem  

변종익 (한국과학기술원 산업공학과)
이경식 (한국과학기술원 산업공학과)
박성수 (한국과학기술원 산업공학과)
강성열 (홍익대학교 경영정보학과)
Publication Information
Journal of the Korean Operations Research and Management Science Society / v.27, no.4, 2002 , pp. 67-86 More about this Journal
Abstract
This paper considers subway crew scheduling problem. Crew scheduling is concerned with finding a minimum number of assignments of crews to a given timetable satisfying various restrictions. Traditionally, crew scheduling problem has been formulated as a set covering or set partitioning problem possessing exponentially many variables, but even the LP relaxation of the problem is hard to solve due to the exponential number of variables. In this paper. we propose two basic techniques that solve the subway crew scheduling problem in a reasonable time, though the optimality of the solution is not guaranteed. We develop an algorithm that solves the column-generation problem in polynomial time. In addition, the integrality of the solution is accomplished by variable-fixing technique. Computational result for a real instance is reported.
Keywords
Crew Scheduling; Subway; Column Generation; Variable-Fixing;
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