A LAGRANGIAN RELAXATION BASED HEURISTIC FOR THE URBAN TRANSIT CREW SCHEDULING PROBLEM. FROM THE BOOK COMPUTER-AIDED TRANSIT SCHEDULING

Several researchers have approached the transit crew scheduling problem by decomposing it into a shortest path problem and a matching problem. We present an approach based on this decomposition which iterates between the solution of a shortest path problem and the solution of a matching problem. The objective function for the shortest path problem is derived by considering Lagrangian penalties associated with the perfectly matchable subgraph inequalities. This approach is validated on sample problems from the Washington Metropolitan Area Transit Authority (WMATA).