During the last decade, the stringent pressures from environmental and social requirements have spurred an interest in designing a reverse logistics (RL) network. The success of a logistics system may depend on the decisions of the facilities locations and vehicle routings. The location-routing problem (LRP) simultaneously locates the facilities and designs the travel routes for vehicles among ...

In this paper, we assume a firm tries to determine the optimal price, vehicle route and location of the depot in each zone to maximise its profit. Therefore, in this paper zone pricing is studied which contributes to the literature of location-routing problems (LRP). Zone pricing is one of the most important pricing policies that are prevalently used by many companies. The proposed problem is v...

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...

The design of a supply chain has been considered by many practitioners and researchers recently. One model that is used to optimize distribution from a single facility (depot) to a set of retailers over a given planning horizon and considering stock management decisions is known as Inventory Routing Problem (IRP). This model tries to optimize the trade-off between inventory and transportation c...

Vehicle Routing Problems (VRPs) are prevalent in all large pick up and delivery logistics systems and are critical to city logistics operations. Of notable significance are three key extensions to classical VRPs: (1) multi-depot scenario; (2) probabilistic demand; and (3) time-window constraints, which are considered simultaneously with VRPs in this paper. The issue then becomes a Multi Depot P...

We present a solution approach for multi-trip vehicle routing problem with time windows in which the locations of prescribed number depots and fleet sizes must also be optimized. Given complexity task, we divide into subproblems that are solved sequentially. First, address strategic decisions, once remain constant thereafter. Depots allocated by solving p-median determined identifying requireme...

In this paper, we study the complexity and (in)approximability of the minimum label vehicle routing problem. Given a simple complete graph G = (V,E) containing a special vertex 0 called the depot and where the edges are colored (labeled), the minimum label k-vehicle routing problem consists in finding a k-vehicle routing E′, i.e. a collection of cycles of size at most k+ 1 which all contain the...

The Multi-Depot Vehicle Routing Problem (MDVRP) is an important variant of the classical Vehicle Routing Problem (VRP), where the customers can be served from a number of depots. This paper introduces a cooperative coevolutionary algorithm to minimize the total route cost of the MDVRP. Coevolutionary algorithms are inspired by the simultaneous evolution process involving two or more species. In...