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Journal ArticleDOI

The green vehicle routing problem

TLDR
A simulated annealing heuristic based exact solution approach to solve the green vehicle routing problem (G-VRP) which extends the classical vehicle routing problems by considering a limited driving range of vehicles in conjunction with limited refueling infrastructure.
Abstract
We develop a solution approach to solve the green vehicle routing problem.We propose a simulated annealing heuristic to improve the quality of solutions.We present a new formulation having fewer variable and constraints.We evaluate the algorithm in terms of the several performance criterions.Our algorithm is able to optimally solve 22 of 40 benchmark instances. This paper develops a simulated annealing heuristic based exact solution approach to solve the green vehicle routing problem (G-VRP) which extends the classical vehicle routing problem by considering a limited driving range of vehicles in conjunction with limited refueling infrastructure. The problem particularly arises for companies and agencies that employ a fleet of alternative energy powered vehicles on transportation systems for urban areas or for goods distribution. Exact algorithm is based on the branch-and-cut algorithm which combines several valid inequalities derived from the literature to improve lower bounds and introduces a heuristic algorithm based on simulated annealing to obtain upper bounds. Solution approach is evaluated in terms of the number of test instances solved to optimality, bound quality and computation time to reach the best solution of the various test problems. Computational results show that 22 of 40 instances with 20 customers can be solved optimally within reasonable computation time.

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Citations
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Journal ArticleDOI

A Taxonomic Review of Metaheuristic Algorithms for Solving the Vehicle Routing Problem and Its Variants

TL;DR: Based on a metaheuristic classification, 299 VRP articles published between 2009 and 2017 are classified to reveal the usage trends of the algorithms and the solved VRP variants for showing the ones that are most popular, and those that are promising topics for future research.
Journal ArticleDOI

A Survey on the Electric Vehicle Routing Problem: Variants and Solution Approaches

TL;DR: The challenges that emerged with the integration of electric vehicles in the delivery processes are described, together with electric vehicle characteristics and recent energy consumption models.
Journal ArticleDOI

Improved formulations and algorithmic components for the electric vehicle routing problem with nonlinear charging functions

TL;DR: A new model, a heuristic, and an exact labeling algorithm for the problem of finding the optimal charging decisions for a given route, and introduces a path-based model which outperforms the classical models in experiments.
Journal ArticleDOI

Energy consumption estimation integrated into the Electric Vehicle Routing Problem

TL;DR: This paper introduces the Two-stage Electric Vehicle Routing Problem (2sEVRP) that incorporates improved energy consumption estimation by considering detailed topography and speed profiles and indicates that time and energy estimations are significantly more precise than existing methods.
Journal ArticleDOI

Electric Vehicle Routing Problem with Time-Dependent Waiting Times at Recharging Stations

TL;DR: The results show that waiting at the stations may increase the total cost by 1%–26%, depending on the problem type and queue length, and that recharges tend to shift to less crowded mid-day hours due to the time-dependent waiting times.
References
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Journal ArticleDOI

Scheduling of Vehicles from a Central Depot to a Number of Delivery Points

TL;DR: An iterative procedure is developed that enables the rapid selection of an optimum or near-optimum route and has been programmed for a digital computer but is also suitable for hand computation.
Journal ArticleDOI

The Truck Dispatching Problem

TL;DR: A procedure based on a linear programming formulation is given for obtaining a near optimal solution to the optimum routing of a fleet of gasoline delivery trucks between a bulk terminal and a large number of service stations supplied by the terminal.
MonographDOI

The vehicle routing problem

Paolo Toth, +1 more
TL;DR: In this paper, the authors present a comprehensive overview of the most important techniques proposed for the solution of hard combinatorial problems in the area of vehicle routing problems, focusing on a specific family of problems.
Book

Simulated annealing

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