Ant colony optimization and its application to the vehicle routing problem with pickups and deliveries

Ant Colony Optimization (ACO) is a population-based metaheuristic that can be used to find approximate solutions to difficult optimization problems. It was first introduced for solving the Traveling Salesperson Problem. Since then many implementations of ACO have been proposed for a variety of combinatorial optimization. In this chapter, ACO is applied to the Vehicle Routing Problem with Pickup and Delivery (VRPPD). VRPPD determines a set of vehicle routes originating and ending at a single depot and visiting all customers exactly once. The vehicles are not only required to deliver goods but also to pick up some goods from the customers. The objective is to minimize the total distance traversed. The chapter first provides an overview of ACO approach and presents several implementations to various combinatorial optimization problems. Next, VRPPD is described and the related literature is reviewed, Then, an ACO approach for VRPPD is discussed. The approach proposes a new visibility function which attempts to capture the “delivery” and “pickup” nature of the problem. The performance of the approach is tested using well-known benchmark problems from the literature

Ant colony optimization approach for the capacitated vehicle routing problem with simultaneous delivery and pick-up

We propose an Ant Colony Optimization (ACO) algorithm to the NPhard Vehicle Routing Problem with Simultaneous Delivery and Pick-up (VRPSDP). In VRPSDP, commodities are delivered to customers from a single depot utilizing a fleet of identical vehicles and empty packages are collected from the customers and transported back to the depot. The objective is to minimize the total distance traveled. The algorithm is tested with the well-known benchmark problems from the literature. The experimental study indicates that our approach produces comparable results to those of the benchmark problems in the literature

Scheduling Deliveries with Backhauls in Thailand's Cement Industry

In this study, the Truckload Delivery with Backhaul Scheduling Problem (TDBSP) is formulated and an Ant Colony Optimization methodology developed for a related problem, the Vehicle Routing Problem with Backhaul and Time Windows (VRPBTW), is adapted for its solution. The TDBSP differs from the VRPBTW in that shipments are in units of truckloads, multiple time windows in multiple days are available for delivery to customers, limited space for servicing customers is available and multiple visits to each customer may be required. The problem is motivated by a real-world application arising at a leading cement producer in Thailand. Experts at the cement production plant assign vehicles to cement customers and lignite mines based on manual computations and experience. This study provides mathematical and computational frameworks for modeling and solving this real-world application

Iterated local search algorithm for the vehicle routing problem with backhauls and soft time windows

The vehicle routing problem with backhauls and soft time windows contains two disjoint sets of customers: those that receive goods from the depot, who are called linehauls, and those that send goods to the depot, named backhauls. To each customer is associated an interval of time (time window), during which each one should be served. If a time window can be violated it is called soft, but this violation implies an additional cost. In this paper, only the upper limit of the interval can be exceeded. For solving this problem we created deterministic iterated local search algorithm, which was tested using a large set of benchmark problems taken from the literature. These computational tests have proven that this algorithm competes with best known algorithms in terms of the quality of the solutions andcomputing time. So far as we know, there is no published paper for this problem dealing with soft time windows, and, therefore, this comparison is only with the algorithms that do not allow time windows violation.info:eu-repo/semantics/publishedVersio

Heuristic algorithms for a vehicle routing problem with simultaneous delivery and pickup and time windows in home health care

International audienceThis paper addresses a vehicle scheduling problem encountered in home health care logistics. It concerns the delivery of drugs and medical devices from the home care company's pharmacy to patients' homes, delivery of special drugs from a hospital to patients, pickup of bio samples and unused drugs and medical devices from patients. The problem can be considered as a special vehicle routing problem with simultaneous delivery and pickup and time windows, with four types of demands: delivery from depot to patient, delivery from a hospital to patient, pickup from a patient to depot and pickup from a patient to a medical lab. Each patient is visited by one vehicle and each vehicle visits each node at most once. Patients are associated with time windows and vehicles with capacity. Two mixed-integer programming models are proposed. We then propose a Genetic Algorithm (GA) and a Tabu Search (TS) method. The GA is based on a permutation chromosome, a split procedure and local search. The TS is based on route assignment attributes of patients, an augmented cost function, route re-optimization, and attribute-based aspiration levels. These approaches are tested on test instances derived from existing VRPTW benchmarks

Vehicle routing problem with simultaneous delivery and pickup and intermediary delivery

We address a variant of the Vehicle Routing Problem with Backhauls where delivery of the goods picked up from one node to another is allowed along the same vehicle route. The remaining goods in the vehicle are transported back to the depot. Two objectives exist: the primary one is to minimize the total distance traveled; the secondary is to maximize intra-route deliveries. To achieve these goals, we propose a hybrid metaheuristic which consists of an Ant Colony Optimization algorithm for the route construction and a Tabu Search algorithm for the route improvement. To test the performance of our approach, we generate benchmark data based on the well-known problem instances in the literature. Since the variant presented in this paper has not been addressed previously in the literature, only benchmark results with respect to the first objective are available. For this dual objective problem, we attempt to generate a Pareto curve for different levels of the first objective to investigate the trade-off between the two objective functions

Thirty years of heterogeneous vehicle routing

It has been around thirty years since the heterogeneous vehicle routing problem was introduced, and significant progress has since been made on this problem and its variants. The aim of this survey paper is to classify and review the literature on heterogeneous vehicle routing problems. The paper also presents a comparative analysis of the metaheuristic algorithms that have been proposed for these problems

A Revised ant colony system approach to vehicle routing problems /

Vehicle routing problems have various extensions such as time windows, multiple vehicles, backhauls, simultaneous delivery and pick-up, etc. The objectives of all these problems are to design optimal routes minimizing total distance traveled, minimizing number of vehicles, etc that satisfy corresponding constraints. In this study, an ant colony optimization based heuristic that can be used to solve various vehicle routing problems is proposed. The objective function considered to minimize the total distance traveled by all vehicles. The heuristic is applied to vehicle routing problem with time windows and vehicle routing with simultaneous delivery and pick-up. Vehicles are identical and capacities of the vehicles are finite. The time window constraints in the first problem are assumed to be strict. The proposed heuristic consists of four steps. First, a candidate list is formed for each customer in order to reduce computational time. Second, a feasible solution is found, and initial pheromone trails on each arc is calculated using it. Then, routes are constructed based on Dorigo et al. (1997). While visibility is calculated during route construction process, the distance between two customers, customers' distance to the depot and the time window associated with the customer to whom the ant is considered to move are considered. Pheromone trails are modified by both local and global pheromone update. Finally, constructed routes are improved using 2-opt algorithm. The algorithm have been tested on the benchmark problem instances of Solomon (1987) for vehicle routing problem with time windows, and benchmark problem instances of Min (1989) and Dethloff (2001) for vehicle routing with simultaneous delivery and pick-up. The algorithm is proven to give good results when compared to the best known results in the literature