An Effective Deflected Subgradient Optimization Scheme for Implementing Column Generation for Large-Scale Airline Crew Scheduling Problems

An Effective Deflected Subgradient Optimization Scheme for Implementing Column Generation for Large-Scale Airline Crew Scheduling Problems

A Heuristic Approach to Column Generation for Airline Crew Scheduling

Airline crew scheduling gives rise to many diicult and interesting optimisation problems. With straightforward approaches to the crew pairing problem one speciically needs to solve very large set-covering problems. One suggested approach to these problems is column generation. In column generation, the choice of master solver can have a signiicant impact on performance, both with respect to spe...

An Improved Column Generation Algorithm for Crew Scheduling Problems ⋆

Column Generation (CG) technique is popularly applied in solving the crew scheduling problem of large size, which is generally modeled as an Integer Linear Programming (ILP) problem. The traditional CG algorithms for bus and rail crew scheduling encounter difficulties on either the generation of all potential shifts or solving subproblems. A subproblem embedded in the CG is generally represente...

Solving the Master Linear Program in Column Generation Algorithms for Airline Crew Scheduling using a Subgradient Method

A subgradient method for solving large linear programs is implemented and analyzed in a column generation framework. A performance comparison of the implementation is made versus the commercial linear programming solver XPress. Computational results from tests using data from airline crew scheduling, in particular crew rostering, show that the method performs very well in a column generation sc...

Improvement of Column Generation Method for Railway Crew Scheduling Problems

The railway crew scheduling problem is to determine an optimal crew assignment to minimize the number of crews required to cover all of railway assignment satisfying several crew working constraints. The problem can be formulated as a huge set covering problem. Column generation method is commonly used to solve the railway crew scheduling problem. Conventional column generation method has a sho...