使用OR-Tools解决多种类型的vrp问题

OR-Tools for Various VRP Problems

OR-Tools is a standard optimization library provided by Google that encapsulates models for solving VRP (Vehicle Routing Problem) issues. This article presents how to use OR-Tools to solve different types of VRP problems, including code examples for reference.

Basic VRP

The basic VRP involves multiple vehicles delivering to several locations with the objective of minimizing the total distance. Some users may want to modify the objective function, which can be done by adding a penalty function. The provided Python code illustrates creating a data model, defining the solution printout, and the main function for solving the classical VRP problem using OR-Tools.

CVRP (Capacitated VRP)

In CVRP, each vehicle has a defined carrying capacity, a common constraint in VRP scenarios. The Python code shows how to model the data, including the distance matrix, demands, vehicle capacities, and the main function for solving the problem with capacity constraints.

VRPTW (VRP with Time Windows)

VRPTW adds the constraint of time windows within which each location must be serviced. The article's code demonstrates setting up the time matrix, time windows, the routing model, and the main function that solves the time-constrained VRP.

PDVRP (Pickup and Delivery VRP)

This VRP model extends the problem to include both pickup and delivery tasks. The code snippet outlines how to configure the distance matrix, define pickup and delivery pairs, and utilize OR-Tools to find a solution to this more complex VRP variant.

For optimizing search strategies and time management during the search for optimal solutions, readers are referred to previous articles on OR-Tools, not covered in this particular text.

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