Iterative time constraint addition algorithm for the crew scheduling problem

The size of time constaints is the critical bottleneck of the Crew Scheduling Problem (CSP). This paper deals with a method to extract the minimum required time constraints by k-shortest path algorithm. These time constraints are added as the "insurance constraints" to avoid the unnecessary tree search, which are very time-consuming procedures, for the integer solutions. The computational results show that the problem size in LP formulation could be reduced by our method.