Determining Routes for an Auxiliary Fleet in Presence of Emergencies on a Railway Line

Abstract

Transportation on-demand represents a mode of transport in which a set of users formulates transport requests between pickup and delivery points, which must be served by means of vehicles of a given capacity. When the items to be transported are people, it is necessary to simultaneously consider a minimization of operating costs (perspective of transportation systems managers) and a reduction of the inconveniences for the user. An unexpected failure of the planned scheduling in the transport system (e.g. a failure in the engine of a train), may cause a service disruption to a large number of passengers who would remain isolated at origin stations. The result of that situation would be a scattered distributed population in points, with heterogeneous demand in terms of destinations and specific requirements of service. In this paper a model of transportation on-demand is formulated to address an incidence which happens in a transit line (metro, trains), forcing to reschedule the service in such transit line. The goal is to minimize the total cost associated to the delay experienced by users who have to be served by an auxiliary fleet to attend this incidence.