Models for multi-service line planning problem in public transportation

An important strategic issue in the public transportation planning process is line planning problem. This paper considers the design of multi-service lines in urban public transportation. It consists in finding lines and corresponding frequencies. Description of “multi-service” concept is represented together with discussion of its distinction from “multi-mode” or “multi-modal”. Two models for multi-service line planning problem are proposed and aimed to analysis the “multi-service”, reflecting on service speed and vehicle capacity, impacts on line plan results. Two problems are exanimated: common line problem between rapid and normal buses, common line problem between different capacities of buses. Both models take into account common line problem between rapid and normal buses with respectively consider equal vehicle capacity and different vehicle capacities.