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The assignment-dial-a-ride-problem.

Chane-Haï Timothée1, Vercraene Samuel1, Monteiro Thibaud2

  • 1Univ Lyon, INSA Lyon, Université Claude Bernard Lyon 1, Univ Lyon 2, DISP-UR4570, 21 avenue Jean Capelle, Villeurbanne, 69621, Auvergne Rhone-Alpes, France.

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This study introduces the Assignment-Dial-A-Ride problem for healthcare logistics. Optimizing ride-sharing, patient assignment, and staff size simultaneously significantly reduces operational costs.

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AllocationDial-a-rideHealth care operations managementLarge neighborhood searchMatheuristicOperations researchOptimizationSanitary transportation

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Area of Science:

  • Operations Research
  • Healthcare Management
  • Transportation Logistics

Background:

  • Medico-social institutions face daily challenges managing ride-sharing services for disabled individuals.
  • Coordinating staff and patient assignments alongside routing is complex and resource-intensive.

Purpose of the Study:

  • To formulate and address the integrated Assignment-Dial-A-Ride problem.
  • To optimize ride-sharing routes, patient-to-institution assignment, and institutional staff sizing concurrently.

Main Methods:

  • Development of a novel Assignment-Dial-A-Ride problem formulation.
  • Implementation of a matheuristic combining large neighborhood search with mixed integer linear programming for route generation and selection.

Main Results:

  • The matheuristic was validated on existing literature cases and applied to real-world French instances.
  • Significant cost reductions were achieved through integrated optimization of routing, assignment, and staffing.

Conclusions:

  • Simultaneous optimization of patient assignment and vehicle sharing yields comparable cost reductions.
  • The proposed model provides a framework for efficient resource management in medico-social transport services.