[null,null,["上次更新時間:2024-08-09 (世界標準時間)。"],[[["Vehicle routing focuses on finding optimal routes for vehicles to visit locations, minimizing distance or cost, with applications like delivery services and ride-sharing."],["The Traveling Salesperson Problem (TSP) seeks the shortest route for one vehicle to visit all locations and return to the starting point, becoming computationally complex with more locations."],["OR-Tools addresses various Vehicle Routing Problems (VRPs), including TSP, VRP with capacity and time constraints, and VRP with resource limitations and potential dropped visits."],["Solving VRPs can be computationally challenging, with solution times increasing exponentially with problem size, sometimes resulting in good but not optimal solutions from OR-Tools."],["While specialized solvers like Concorde excel at large TSPs, OR-Tools provides a more versatile platform for routing problems with constraints beyond the basic TSP."]]],["Vehicle routing problems (VRPs) involve finding optimal routes for vehicles visiting locations, often minimizing total distance or cost. The Traveling Salesperson Problem (TSP) is a specific VRP with one vehicle. Solving these problems involves searching possible routes, with complexity increasing exponentially with more locations. OR-Tools, a routing solver, addresses various VRPs, including those with capacity, time, resource, and penalty constraints. While not always finding the absolute optimal solution, OR-Tools provides good solutions and users can adjust search strategies for better results.\n"]]