Arc routing problems (ARPs) arise naturally in several applications where streets require maintenance, or customers located along road must be serviced. The undirected rural postman problem (URPP) is to determine a least cost tour traversing at least once each edge that requires a service. When demands are put on the edges and this total demand must be covered by a fleet of identical vehicles o...

In the Vehicle Routing Problem with Deliveries, Selective Pickups and Time Windows, the set of customers is the union of delivery customers and pickup customers. A fleet of identical capacitated vehicles based at the depot must perform all deliveries and profitable pickups while respecting time windows. The objective is to minimize routing costs, minus the revenue associated with the pickups. T...

In vehicle routing problems (VRPs) the decisions to be taken concern assignment of customers vehicles and sequencing assigned each vehicle. Additional may need jointly taken, depending on specific problem setting. this paper, after discussing different kinds in classes VRPs, class where decision about when routes start from depot has is considered related literature reviewed. This problems, tha...

Deriving the optimal cash deployment strategy for a network of ATMs involves the analysis of logistics costs, inventory policies as well as of the routing of replenishment vehicles. The optimal cash deployment strategy focuses on the reduction of cash-related expenses provided that ATMs do not run out of cash. In the paper, this rich vehicle routing problem is solved using genetic algorithm. Th...

Solving the Inventory Location-Routing Problem can been seen as an approach to optimize both a supply chain design and its operations costs. Assumptions consider that vehicles might visit more than one retailer per route and that inventory management decisions are included for a multi-depot, multi-retailer system with storage capacity over a discrete time planning horizon. The problem is to det...

We consider the Split Delivery Vehicle Routing Problem (SDVRP) where a fleet of homogeneous vehicles has to serve a set of customers. Each customer can be visited more than once, contrary to what is usually assumed in the classical Vehicle Routing Problem (VRP) and the demand of each customer can be greater than the capacity of the vehicles. No constraint on the number of available vehicles is ...

In this paper we address the Two-Echelon Vehicle Routing Problem (2E-VRP), an extension of the classical Capacitated VRP, where the delivery from a single depot to the customers is managed by routing and consolidating the freight through intermediate depots called satellites. We present a family of Multi-Start heuristics based on separating the depot-to-satellite transfer and the satellite-to-c...

Vehicle Routing problem (VRP) is the challenging and sophisticated optimization problem which can be solved by various approaches like Exact methods, metaheuristic optimization algorithm and Mathematical approaches including linear and integer programming Techniques. Exact algorithms can only solve relatively small problems of VRP. Several approximate algorithms have proven successfully to find...

This paper introduces a parallel iterated tabu search heuristic for solving four different routing problems: the classical vehicle routing problem (VRP), the periodic VRP, the multi-depot VRP, and the site-dependent VRP. In addition, it is applicable to the time-window constrained variant of these problems. Using the iterated local search framework, the heuristic combines tabu search with a sim...