The heterogeneous fixed fleet open vehicle routing problem (HFFOVRP) is one of the most significant extension problems of the open vehicle routing problem (OVRP). The HFFOVRP is the problem of designing collection routes to a number of predefined nodes by a fixed fleet number of vehicles with various capacities and related costs. In this problem, the vehicle doesn’t return to the depot after se...

In the well-known Vehicle Routing Problem (VRP), a set of identical vehicles, based at a central depot, is to be optimally routed to supply customers with known demands subject to vehicle capacity constraints. An important variant of the VRP arises when a fleet of vehicles characterized by different capacities and costs, is available for distribution activities. The problem is known as the Mixe...

the heterogeneous fixed fleet open vehicle routing problem (hffovrp) is one of the most significant extension problems of the open vehicle routing problem (ovrp). the hffovrp is the problem of designing collection routes to a number of predefined nodes by a fixed fleet number of vehicles with various capacities and related costs. in this problem, the vehicle doesn’t return to the depot after se...

This paper introduces the Double Vehicle Routing Problem with Multiple Stacks and Heterogeneous Demand (DVRPMSHD). This problem is a more realistic generalization of the Double Vehicle Routing Problem with Multiple Stacks when customers have heterogeneous demands and the demand of each customer cannot be divided among two or more vehicles. The objective of this problem is to find optimal routes...

The main purpose of this study is to find out a good solution to the vehicle routing problem considering heterogeneous vehicles. This problem tries to solve the generation of paths and the assignment of buses on these routes. The objective of this problem is to minimize the number of vehicles required and to maximize the number of demands transported. This paper considers a Memetic Algorithm fo...

A capacitated location-routing problem (CLRP) is one of the new areas of research in distribution management. It consists of two problems; locating of facilities and routing of the vehicle with a specific capacity. The purpose of the CLRP is to open a set of stores, allocate customers to established deposits, and then design vehicle tours in order to minimize the total cost. In this paper, a ne...

In this paper, we study the location routing problem with replenishment facilities (LRPRF), an extension of the location routing problem (LRP) where the vehicles can replenish at some replenishment facilities. Vehicles leave the depot with load on-board, serve customers until out of load, and then either return to a replenishment facility to reload or return to the depot, completing their route...