Schedule-Based Integrated Intercity Bus Line Planning via Branch-and-Cut

A Branch-and-Cut Approach for Solving Railway Line-Planning Problems

A important strategic phase in the planning process of a railway operator is the development of a line plan, i.e., a set of routes (paths) in a network of tracks, operated at a given hourly frequency. We consider a model formulation of the line-planning problem where total operating costs are to be minimized. This model is solved with a branch-and-cut approach, for which we develop a variety of...

Branch-and-cut Algorithms for Integer Programming, Branch-and-cut

Branch-and-cut methods are exact algorithms for integer programming problems. They consist of a combination of a cutting plane method with a branch-and-bound algorithm. These methods work by solving a sequence of linear programming relaxations of the integer programming problem. Cutting plane methods improve the relaxation of the problem to more closely approximate the integer programming probl...

A Constraint-Programming-Based Branch-and-Price-and-Cut Approach for Operating Room Planning and Scheduling

This paper presents an efficient algorithm for an integrated operating room planning and scheduling problem. It combines the assignment of surgeries to operating rooms and scheduling over a short-term planning horizon. This integration results in more stable planning through consideration of the operational details at the scheduling level, and this increases the chance of successful implementat...

Airline Schedule Planning: Integrated Models and Algorithms for Schedule Design and Fleet Assignment

C a profitable schedule is of utmost importance to an airline because its profitability is critically influenced by its flight offerings. We focus our attention on the steps of the airline schedule planning process involving schedule design and fleet assignment. Airline schedule design involves determining when and where to offer flights such that profits are maximized, and fleet assignment inv...

Branch-and-Cut Algorithms