# How do you solve the capacitated vehicle routing problem?

## How do you solve the capacitated vehicle routing problem?

Various methods are investigated to solve CVRP in last few decades, the most popular way of solving CVRP is splitting the task into two different phases: firstly, assigning customers under different vehicles and secondly, finding optimal route of each vehicle.

What is capacitated routing problem?

The capacitated vehicle routing problem (CVRP) is a VRP in which vehicles with limited carrying capacity need to pick up or deliver items at various locations. The problem is to pick up or deliver the items for the least cost, while never exceeding the capacity of the vehicles.

### Is vehicle routing problem NP hard?

In mathematical terms, the VRP is classified as an NP-hard problem, meaning that the required solution time increases exorbitantly with size. The number of possible solutions to the VRP is of the order of n!, where n is the number of nodes (locations the vehicle must reach) in the network.

What is dynamic vehicle routing problem?

The Dynamic Vehicle Routing Problem (DVRP) is one of the important variants of VRP. Its aim consists in designing the optimal set of routes for a fleet of vehicles in order to serve a given set of customers while new customer orders arrive during the performance of the planned earlier work day.

#### What is multi depot vehicle routing problem?

The multi-depot vehicle routing problem (MDVRP) arises as a generalisation of the vehicle routing problem (VRP), where vehicles depart from and return to one of multiple depot locations. Therefore, besides the definition of the vehicles’ routes, it is also necessary to decide from which depot the customers are visited.

What is the difference between TSP and VRP?

The difference between TSP and VRP is illustrated in Figure 1, in which the TSP is a single-route node-service-combination problem with no vehicle capacity limitation and a VRP is a multiple-route node-service-combination problem with vehicle capacity limitation. … 1.

## How do you solve routing problems?

Minimize the global transportation cost based on the global distance travelled as well as the fixed costs associated with the used vehicles and drivers. Minimize the number of vehicles needed to serve all customers. Least variation in travel time and vehicle load. Minimize penalties for low quality service.

What is open vehicle routing problem?

In the open vehicle routing problem (OVRP), a vehicle does not return to the depot after servicing the last customer on a route. Each route in the OVRP is a Hamiltonian path over the subset of customers visited on the route.

### What does NP hard stand for?

non-deterministic polynomial-time hardness
In computational complexity theory, NP-hardness (non-deterministic polynomial-time hardness) is the defining property of a class of problems that are informally “at least as hard as the hardest problems in NP”. A simple example of an NP-hard problem is the subset sum problem.

What is multi depot VRP?

A company may have several depots from which it can serve its customers. A MDVRP requires the assignment of customers to depots. A fleet of vehicles is based at each depot. Each vehicle originate from one depot, service the customers assigned to that depot, and return to the same depot.

#### How do you solve VRP?

To solve this VRP, you need to create a distance dimension, which computes the cumulative distance traveled by each vehicle along its route. You can then set a cost proportional to the maximum of the total distances along each route.

How do you optimize routing?

Route optimization is the process of determining the most cost-efficient route. It’s more complex than simply finding the shortest path between two points. It needs to include all relevant factors, such as the number and location of all the required stops on the route, as well as time windows for deliveries.