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3165. A Unified Exact Approach for a Broad Class of Vehicle Routing Problems With Simultaneous Pickup and Delivery
Invited abstract in session WA-58: MILPs for Vehicle Routing 2, stream VeRoLog - Vehicle Routing and Logistics.
Wednesday, 8:30-10:00Room: S07 (building: 101)
Authors (first author is the speaker)
1. | Teobaldo Bulhões
|
Universidade Federal da Paraíba | |
2. | Rafael Praxedes
|
Department of Engineering and Architecture, University of Parma | |
3. | Anand Subramanian
|
Universidade Federal da Paraíba | |
4. | Eduardo Uchoa
|
Engenharia de Produção, Universidade Federal Fluminense |
Abstract
The vehicle routing problem with simultaneous pickup and delivery (VRPSPD) is a well-known combinatorial optimization problem. It involves finding the least-cost set of routes, starting and ending at the depot, while simultaneously satisfying pickup and delivery demands from multiple locations within a single trip without exceeding the capacity of the vehicle. There are many variants of this problem, each one incorporating additional attributes such as a heterogeneous fleet of vehicles, time constraints, route duration, multiple depots, and decisions regarding depot location. In this work, we propose a unified formulation for ten of these variants, which were considered special cases of a generic problem denoted as heterogeneous location routing problem with simultaneous pickup and delivery and time windows (HLRPSPDTW). To solve it, we developed a branch-cut-and-price (BCP) algorithm and validated it through extensive computational experiments on more than 530 benchmark instances. The proposed BCP algorithm successfully found optimal solutions for 44.3% of unsolved problems, attained 92.6% of known optima, and improved lower bounds for 69.9% of the instances that remained unsolved.
Keywords
- Vehicle Routing
- Column Generation
Status: accepted
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