ortools-clone/ortools/constraint_solver/docs/VRP.md

# Vehicle Routing Problem recipes for the Vehicle Routing solver.

## Introduction

The Vehicle Routing solver can be used to solve various VRP.

## Vehicle Routing Problem
Data Problem:
![problem](vrp.svg)

Solution:
![solution](vrp_solution.svg)

Samples:

*   [vrp.cc](../samples/vrp.cc)
*   [vrp.py](../samples/vrp.py)
*   [Vrp.java](../samples/Vrp.java)
*   [Vrp.cs](../samples/Vrp.cs)

## Global Span Constraints
Data Problem:
![problem](vrp_global_span.svg)

Solution:
![solution](vrp_global_span_solution.svg)

Samples:

*   [vrp_global_span.cc](../samples/vrp_global_span.cc)
*   [vrp_global_span.py](../samples/vrp_global_span.py)
*   [VrpGlobalSpan.java](../samples/VrpGlobalSpan.java)
*   [VrpGlobalSpan.cs](../samples/VrpGlobalSpan.cs)

## Capacity Constraints
Data Problem:
![problem](vrp_capacity.svg)

Solution:
![solution](vrp_capacity_solution.svg)

Samples:

*   [vrp_capacity.cc](../samples/vrp_capacity.cc)
*   [vrp_capacity.py](../samples/vrp_capacity.py)
*   [VrpCapacity.java](../samples/VrpCapacity.java)
*   [VrpCapacity.cs](../samples/VrpCapacity.cs)

## Drop Nodes Constraints
Data Problem:
![problem](vrp_drop_nodes.svg)

Solution:
![solution](vrp_drop_nodes_solution.svg)

Samples:

*   [vrp_drop_nodes.cc](../samples/vrp_drop_nodes.cc)
*   [vrp_drop_nodes.py](../samples/vrp_drop_nodes.py)
*   [VrpDropNodes.java](../samples/VrpDropNodes.java)
*   [VrpDropNodes.cs](../samples/VrpDropNodes.cs)

## Multiple Starts Ends
Data Problem:
![problem](vrp_starts_ends.svg)

Solution:
![solution](vrp_starts_ends_solution.svg)

Samples:

*   [vrp_starts_ends.cc](../samples/vrp_starts_ends.cc)
*   [vrp_starts_ends.py](../samples/vrp_starts_ends.py)
*   [VrpStartsEnds.java](../samples/VrpStartsEnds.java)
*   [VrpStartsEnds.cs](../samples/VrpStartsEnds.cs)

## Time Window Constraints
Data Problem:
![problem](vrp_time_windows.svg)

Solution:
![solution](vrp_time_windows_solution.svg)

Samples:

*   [vrp_time_windows.cc](../samples/vrp_time_windows.cc)
*   [vrp_time_windows.py](../samples/vrp_time_windows.py)
*   [VrpTimeWindows.java](../samples/VrpTimeWindows.java)
*   [VrpTimeWindows.cs](../samples/VrpTimeWindows.cs)

## Resource Constraints
Data Problem:
![problem](vrp_resources.svg)

Solution:
![solution](vrp_resources_solution.svg)

Samples:

*   [vrp_resources.cc](../samples/vrp_resources.cc)
*   [vrp_resources.py](../samples/vrp_resources.py)
*   [VrpResources.java](../samples/VrpResources.java)
*   [VrpResources.cs](../samples/VrpResources.cs)