The vehicle-routing problem (VRP) has many variants, including the most accurate models of real-life transportation tasks, making it one important mathematical problems in field logistics. Our goal was to design an algorithm that can race against recent solutions for VRP and capacitated (CVRP), while also being applicable with simulations real transports. is a variant bacterial memetic (BMA), w...

This work proposes a partial optimization metaheuristic under special intensification conditions (POPMUSIC) for the classical capacitated vehicle routing problem. The proposed approach uses branch-cut-and-price algorithm as powerful heuristic to solve subproblems whose dimensions are typically between 25 and 200 customers. whole can be seen application of local search over very large neighborho...

We tackle the Mixed Capacitated General Routing Problem (MCGRP) which generalizes many other routing problems. Very few papers have been devoted to this argument, in spite of interesting real-world applications. We propose an integer programming model for the MCGRP and extend to its polyhedron inequalities valid for the Capacitated Arc Routing Problem (CARP) polyhedron. Identification procedure...

Despite some successful applications of genetic algorithms (GAs) for solving the capacitated vehicle routing problems, they usually rely on problem-specific components or hybridization with other heuristics for obtaining competitive solutions. These problemspecific and hybridized characteristics complicate the GA implementation for solving reallife problems. In this paper, a pure GA for the cap...

The vehicle routing problem with the capacity constraints was considered in this paper. It is quite difficult to achieve an optimal solution with traditional optimization methods by reason of the high computational complexity for large-scale problems. Consequently, new heuristic or metaheuristic approaches have been developed to solve this problem. In this paper, we constructed a new heuristic ...

The Capacitated Arc Routing Problem with Refill Points (CARP-RP) is a new variant of the Capacitated Arc Routing Problem (CARP). In a CARP situation, the vehicle servicing arcs has a finite capacity, and hence has to return to the depot or a secondary station to be refilled (or emptied). In contrast, in the CARP-RP, the vehicle servicing arcs must be refilled on the spot by using a second vehic...

One of the most important extensions of the capacitated vehicle routing problem (CVRP) is the vehicle routing problem with simultaneous pickup and delivery (VRPSPD) where customers require simultaneous delivery and pick-up service. In this paper, we propose an effective ant colony optimization (EACO) which includes insert, swap and 2-Opt moves for solving VRPSPD that is different with common an...

The Vehicle Routing Problem (VRP) is an important management problem in the field of physical distribution and logistics. Good vehicle routing can not only increase the profit of logistics but also make logistics management more scientific. The Capacitated Vehicle Routing Problem (CVRP) constrained by the capacity of a vehicle is the extension of VRP. Our research applies a two-phase algorithm ...

We give a polynomial time approximation scheme (PTAS) for the unit demand capacitated vehicle routing problem (CVRP) on trees, entire range of tour capacity. The result extends to splittable CVRP.

this research presents and solves a new mathematical model for school bus routing problem (sbrp). sbrp is a specific case of vehicle routing problem (vrp). despite prevalent models, this model includes location and routing simultaneously. besides, the vehicles are non-homogenous. in addition, instead of locating schools which are the depots, we consider locating bus stops that are mentioned &ap...