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A Rolling Horizon Approach to a Dynamic Dial-a-Ride Formulation of Ruter Aldersvennlig Transport

This project studies the dial-a-ride problem (DARP) faced by Ruter Aldersvennlig Trans-port (RAT), a door-to-door transportation service for the elderly in Oslo. The problem consists of designing vehicle routes and schedules for a number of requests for transportation between given locations. Each request also specifies a desired pick-up or drop-off time, along with the number of passengers to be transported. A subset of the requests is known beforehand, while others are revealed throughout the day, thus making the problem partly dynamic.

The problem aims to minimize operational costs while maintaining a sufficient quality of service. We propose a mixed-integer linear program (MILP) formulation of the dynamic DARP faced by RAT. The formulation consists of a model for initial set-up and a re-optimization model for handling incoming events. These models are used to produce an event-based dynamic solution process for the problem. The procedure is based on a rolling-horizon framework, where parts of the solution are iteratively modified as new requests arrive throughout the day.

Figure 1 provides a high-level view of the solution method.

File structure:

  • Models
    • initial_config.py - config file of the initial model
    • initial_model.py - initial model
    • initial_model_validineq.py - initial model with valid inequalities
    • reoptimization_config.py - config file of the reoptimization model
    • reoptimization_model.py - reoptimization model
    • reoptimization_model_validineq.py - reoptimization model with valid inequalities
    • updater_for_reopt.py - updater between intial and reoptimization model
  • Preprocessing - preprocessing of initial data

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