The Integrated Dial-a-Ride Problem

The Integrated Dial-a-Ride Problem

In this paper we present a formulation of the Integrated Dial-a-Ride Problem (IDARP). This problem is to schedule dial-a-ride requests, where some part of each journey may be carried out by a fixed route service. The IDARP is a generalization of the Dial-a-Ride Problem. An arc-based formulation is proposed, and it is shown how the model can be made easier to solve by arc elimination, variable s...

The Dial-A-Ride Problem with Transfers

The Dial–A–Ride Problem with Transfers (DARPT) consists in defining a set of routes that satisfy transportation requests of users between a set of pickup points and a set of delivery points, in the presence of ride time constraints. Users may change vehicles during their trip. This change of vehicle, called a transfer, is made at specific locations called transfer points. Solving the DARPT invo...

The Finite Capacity Dial-A-Ride Problem

We give the first non-trivial approximation algorithm for the Capacitated Dial-a-Ride problem: given a collection of objects located at points in a metric space, a specified destination point for each object, and a vehicle with a capacity of at most k objects, the goal is to compute a shortest tour for the vehicle in which all objects can be delivered to their destinations while ensuring that t...

A Matheuristic for the Dial-a-Ride Problem

The Dial-a-Ride is a transport system on demand. A fleet of vehicles, without fixed routes and schedules, carries people from their pickup points to their delivery points, during a pre-specified time interval. It can be modeled as an N Phard routing and scheduling problem, with a suitable mixed integer programming formulation. Exact approaches to this problem are too limited to tackle real-life...

Solving the Dial-a-Ride problem using genetic algorithms