Penyelesaian Vehicle Routing Problem with TIME Windows (VRPTW) Dengan Modified Differential Evolution Algorithm

This studydiscusses modification ofthe DifferentialEvolutionalgorithmto solve theVehicleRoutingProblem withTimeWindows(VRPTW). Algorithmdevelopmentis done byadding theinitialsolutiongeneratingtechnique. First initials solution generationtechniqueis use arandomfunction, then based onnearestneighbordistance (minimum distance). The next initials solution generationtechniqueis use solomon insertion. These resultsconfirmthat thedevelopment of algorithmscapable findingsolutionsthatdothe samewith thebestknownsolutions fromthe data usedasdata test, eitherthe number ofvehicles usedorthe resultingdistance. Modifieddifferentialevolutionalgorithmis able to workcompetitivelyin the solomon data test C105, C106, C107, C108 andC109with gapvalueof 0%

Penyelesaian Vehicle Routing Problem with Time Windows (VRPTW) dengan Modified Differential Evolution Algorithm

ABSTRAK   Penelitian ini membahas modifikasi algoritma  Differential Evolution  untuk menyelesaikan permasalahan Vehicle Routing Problem with Time Windows (VRPTW). Pengembangan algoritma dilakukan dengan jalan menambahkan teknik pembangkitan inisial solusi. Teknik pembangkitan insial solusi yang pertama adalah dengan menggunakan fungsi  random,kemudian menggunakan neighbor berdasarkan nearest distance (jarak terminimum). Sedangkan teknik pembangkitan solusi selanjutnya adalah dengan insersi solomon. Hasil penelitian ini mengkonfirmasikan bahwa pengembangan algoritma yang dilakukan mampu menemukan solusi yang sama dengan best known solusi dari data yang digunakan sebagai data uji, baik dari jumlah kendaraan yang digunakan ataupun jarak yang dihasilkan. Algoritma modified differential evolution mampu bekerja kompetitif pada data test solomon C105, C106, C107, C108 dan C109 dengan nilai gap sebesar 0%. Kata kunci: algoritma modified differential evolution, vrptw, random, nearest neighbor, insersi solomon.   ABSTRACT This studydiscusses modification ofthe DifferentialEvolutionalgorithmto solve theVehicleRoutingProblem withTimeWindows(VRPTW). Algorithmdevelopmentis done byadding theinitialsolutiongeneratingtechnique. First initials solution generationtechniqueis  use arandomfunction, then based onnearestneighbordistance (minimum distance).  The next initials solution generationtechniqueis use solomon insertion. These resultsconfirmthat thedevelopment of algorithmscapable findingsolutionsthatdothe samewith thebestknownsolutions fromthe data usedasdata test, eitherthe number ofvehicles usedorthe resultingdistance. Modifieddifferentialevolutionalgorithmis able to workcompetitivelyin the solomon data test C105, C106, C107, C108 andC109with gapvalueof 0%. Keyword: modified differentialevolution algorithm, vrptw,  random, nearestneighbor, solomon insertio

A modified binary-PSO for continuous optimization

Metaheuristics based on swarm intelligence simulate the behavior of a biological social system like as a flock of birds or a swarm of bees, and they have achieved important advances for solving optimization problems. In this paper, we propose a variant for a particular kind of those metaheurisitcs: Particle Swarm Optimization (PSO). This modification arises after discovering a low rate of convergence produced by a high level of dispersal at the swarm. Finally, we analyzed and compared the results obtained by an original PSO algorithm and our proposal. From those, we can see the improvement obtained by our variant since it allows to explore more the search space.Presentado en el X Workshop Agentes y Sistemas InteligentesRed de Universidades con Carreras en Informática (RedUNCI

Systematic Literature Review Of Particle Swarm Optimization Implementation For Time-Dependent Vehicle Routing Problem

Time-dependent VRP (TDVRP) is one of the three VRP variants that have not been widely explored in research in the field of operational research, while Particle Swarm Optimization (PSO) is an optimization algorithm in the field of operational research that uses many variables in its application. There is much research conducted about TDVRP, but few of them discuss PSO's implementation. This article presented as a literature review which aimed to find a research gap about implementation of PSO to resolve TDVRP cases. The research was conducted in five stages. The first stage, a review protocol defined in the form of research questions and methods to perform the review. The second stage is references searching. The third stage is screening the search result. The fourth stage is extracting data from references based on research questions. The fifth stage is reporting the study literature results. The results obtained from the screening process were 37 eligible reference articles, from 172 search results articles. The results of extraction and analysis of 37 reference articles show that research on TDVRP discusses the duration of travel time between 2 locations. The route optimization parameter is determined from the cost of the trip, including the total distance traveled, the total travel time, the number of routes, and the number used vehicles. The datasets that are used in research consist of 2 types, real-world datasets and simulation datasets. Solomon Benchmark is a simulation dataset that is widely used in the case of TDVRP. Research on PSO in the TDVRP case is dominated by the discussion of modifications to determine random values of PSO variables

A GRASP Algorithm Based on New Randomized Heuristic for Vehicle Routing Problem

This paper presents a novel GRASP algorithm based on a new randomized heuristic for solving the capacitated vehicle routing problem, which characterized by using a fleet of homogenous vehicle capacity that will start from one depot, to serve a number of customers with demands that are less than the vehicle capacity. The proposed method is based on a new constructive heuristic and a simulated annealing procedure as an improvement phase. The new constructive heuristic uses four steps to generate feasible initial solutions, and the simulated annealing enhances these solutions found to reach the optimal one. We tested our algorithm on two sets of benchmark instances and the obtained results are very encouraging

A modified binary-PSO for continuous optimization

Metaheuristics based on swarm intelligence simulate the behavior of a biological social system like as a flock of birds or a swarm of bees, and they have achieved important advances for solving optimization problems. In this paper, we propose a variant for a particular kind of those metaheurisitcs: Particle Swarm Optimization (PSO). This modification arises after discovering a low rate of convergence produced by a high level of dispersal at the swarm. Finally, we analyzed and compared the results obtained by an original PSO algorithm and our proposal. From those, we can see the improvement obtained by our variant since it allows to explore more the search space.Presentado en el X Workshop Agentes y Sistemas InteligentesRed de Universidades con Carreras en Informática (RedUNCI

Study of capacitated vehicle routing problem based on particle swarm optimization

Vehicle Routing Problem (VRP) is one of the common problems that happen in human life. There are many applications of VRP such as garbage disposal, mail delivery, school bus routing, airline schedule and many more. The main objective of VRP is to minimize the distance of the route starting from a depot, serves all of customers demand, and return back to depot. VRP is one of the optimization problems that belong to NP- hard (Non-deterministic Polynomial-time hard) problem and difficult to solve. VRP has also becomes one of the important topic to discuss and analyze. There are many types of VRP; this research is focusing on capacitated VRP (CVRP). CVRP is defined as the problem of determining optimal routes to be used by vehicles starting from one or more depots to serve all customers’ demand, observing some constraints. Particle Swarm Optimization (PSO) method will be used to solve the VRP problems because there are lots of advantages of PSO. PSO is a population based stochastic optimization technique, inspired by social behavior of bird flocking or fish schooling. The experiment has been done to test this algorithm. Three variants of PSO have been used which are PSO with inertia weight, PSO without inertia weight, and PSO with constriction factor. The results show that the PSO with inertia weight strategy which include PSO with inertia weight and PSO with constriction factor have the best total distance. It can be concluded that PSO with inertia weight strategies have better performance because they take less iteration to arrive at the optimum value. The second comparison also showed that small range of inertia weight has the best total distance

Particle Swarm Optimization Algorithm to Solve Vehicle Routing Problem with Fuel Consumption Minimization

The Conventional Vehicle Routing Problem (VRP) has the objective function of minimizing the total vehicles’ traveling distance. Since the fuel cost is a relatively high component of transportation costs, in this study, the objective function of VRP has been extended by considering fuel consumption minimization in the situation wherein the loading weight and traveling time are restricted. Based on these assumptions, we proposed to extend the route division procedure proposed by Kuo and Wang [4] such that when one of the restrictions can not be met the routing division continues to create a new sub-route to find an acceptable solution. To solve the formulated problem, the Particle Swarm Optimization (PSO) algorithm is proposed to optimize the vehicle routing plan. The proposed methodology is validated by solving the problem by taking a particular day data from a bottled drinking water distribution company. It was revealed that the saving of at best 13% can be obtained from the actual routes applied by the company