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A Simulated Annealing Algorithm Based Solution Method for a Green Vehicle Routing Problem with Fuel Consumption

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Lean and Green Supply Chain Management

Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 273))

Abstract

This chapter presents a new G-VRP model that aims to reduce the fuel consumption of the vehicle’s gas tank. The fuel consumption of a vehicle is related to total vehicle weight through route and thus, this changes the CO2 levels as a result of the changes of total weight and distance for any arc {i, j} in the route. To minimize CO2 levels, a simulated annealing-based algorithm is proposed. About the experiments, firstly, we applied small-VRP problem set for defining the proposed algorithm and then, the Christofides et al. (Combinatorial optimization. Wiley, 1979) small/medium scale C1–C14 datasets are used with proposed G-VRP model and a convex composition solution with two objective functions. The proposed methods are compared with statistical analysis techniques to explain the statistical significance of solutions. The procedures are also tested using additional examples previously analyzed in the literature. The result has shown good solutions for minimizing the emitted CO2 levels.

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References

  • Alkawaleet, N., Hsieh, Y. F., & Wang, Y. (2014). Inventory routing problem with CO2 emissions consideration. In Logistics operations, supply chain management and sustainability (pp. 611–619). Cham: Springer.

    Google Scholar 

  • Alvarenga, G. B., Mateus, G. R., & De Tomi, G. (2007). A genetic and set partitioning two-phase approach for the vehicle routing problem with time windows. Computers and Operations Research, 34(6), 1561–1584.

    Article  Google Scholar 

  • Andelmin, J., & Bartolini, E. (2017). An exact algorithm for the green vehicle routing problem. Transportation Science, 51(4), 1288–1303.

    Article  Google Scholar 

  • Aranda, U. A., Ferreira, G., Bribián, Z. I., & Vásquez, Z. D. (2012). Study of the environmental performance of end-of-life tyre recycling through a simplified mathematical approach. Thermal Science, 16(3), 889–899.

    Article  Google Scholar 

  • Augerat, P. (1995). VRP problem instances set A-B-P. Retrieved July 27, 2017, from http://vrp.atd-lab.inf.puc-rio.br/index.php/en/

  • Ayadi, R., ElIdrissi, A. E., Benadada, Y., & Alaoui, A. E. H. (2014). Evolutionary algorithm for a green vehicle routing problem with multiple trips. In 2014 International conference on logistics and operations management (GOL) (pp. 148–154). IEEE.

    Google Scholar 

  • Aydemir, H., & Cubuk, M. K. (2016). The investigation of the general situation of highways in turkey with recent changes and recommendations on future strategies. Gazi Journal of Engineering Sciences, 2(3), 129–146.

    Google Scholar 

  • Barnhart, C., & Laporte, G. (Eds.). (2006). Handbooks in operations research and management science: Transportation (Vol. 14). Amsterdam: Elsevier.

    Google Scholar 

  • Bektas, T. (2017). Freight transport and distribution: Concepts and optimisation models. Boca Raton, FL: CRC Press.

    Book  Google Scholar 

  • Bektaş, T., & Laporte, G. (2011). The pollution-routing problem. Transportation Research Part B: Methodological, 45(8), 1232–1250.

    Article  Google Scholar 

  • Bouzekri, E. E. A., Aahmed, E. A., & Youssef, B. (2014). The green capacitated vehicle routing problem: Optimizing of emissions of greenhouse gas. In 2014 International conference on logistics and operations management (GOL) (pp. 161–167). IEEE.

    Google Scholar 

  • Bouzekri, E. A., Elhassania, M. E. S. S. O. U. D., & Alaoui, A. E. H. (2013). A hybrid ant colony system for green capacitated vehicle routing problem in sustainable transport. Journal of Theoretical and Applied Information Technology, 53(2), 198–208.

    Google Scholar 

  • Bouzekri, E. A., & Alaoui, A. E. H. (2014). A hybrid ant colony system for green capacitated vehicle routing problem in sustainable transport. International Journal of Scientific and Engineering Research, 5(9), 70–77.

    Google Scholar 

  • Bräysy, O., & Gendreau, M. (2005). Vehicle routing problem with time windows, part I: Route construction and local search algorithms. Transportation Science, 39(1), 104–118.

    Article  Google Scholar 

  • Cacchiani, V., Hemmelmayr, V. C., & Tricoire, F. (2014). A set-covering based heuristic algorithm for the periodic vehicle routing problem. Discrete Applied Mathematics, 163, 53–64.

    Article  Google Scholar 

  • Cetin, S., & Gencer, C. (2010). Vehicle routing problems with hard time windows and simultaneous pick up and delivery: A mathematical model. Journal of the Faculty of Engineering and Architecture of Gazi University, 25(3), 579–585.

    Google Scholar 

  • Christofides, N., Mingozzi, A., & Toth, P. (1979). The vehicle routing problem. In N. Christofides, A. Mingozzi, P. Toth, & C. Sandi (Eds.), Combinatorial optimization (pp. 315–338). Chichester: Wiley.

    Google Scholar 

  • Clarke, G., & Wright, J. W. (1964). Scheduling of vehicles from a central depot to a number of delivery points. Operations Research, 12(4), 568–581.

    Article  Google Scholar 

  • Cooray, P. L. N. U., & Rupasinghe, T. D. (2017). Machine learning-based parameter tuned genetic algorithm for energy minimizing vehicle routing problem. Journal of Industrial Engineering, 2017, 13.

    Article  Google Scholar 

  • Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91.

    Article  Google Scholar 

  • Demir, E., Bektaş, T., & Laporte, G. (2014). A review of recent research on green road freight transportation. European Journal of Operational Research, 237(3), 775–793.

    Article  Google Scholar 

  • Eglese, R., & Bektaş, T. (2014). Chapter 15: Green vehicle routing. In P. Toth & D. Vigo (Eds.), Vehicle routing: Problems, methods, and applications (2nd ed., pp. 437–458). Philadelphia, PA: Society for Industrial and Applied Mathematics.

    Chapter  Google Scholar 

  • Ene, S., Küçükoğlu, I., Aksoy, A., & Öztürk, N. (2016). A hybrid metaheuristic algorithm for the green vehicle routing problem with a heterogeneous fleet. International Journal of Vehicle Design, 71(1–4), 75–102.

    Article  Google Scholar 

  • Erdoğan, S., & Miller-Hooks, E. (2012). A green vehicle routing problem. Transportation Research Part E: Logistics and Transportation Review, 48(1), 100–114.

    Article  Google Scholar 

  • Faulin, J., Juan, A., Lera, F., & Grasman, S. (2011). Solving the capacitated vehicle routing problem with environmental criteria based on real estimations in road transportation: A case study. Procedia-Social and Behavioral Sciences, 20, 323–334.

    Article  Google Scholar 

  • Franceschetti, A., Honhon, D., Van Woensel, T., Bektaş, T., & Laporte, G. (2013). The time-dependent pollution-routing problem. Transportation Research Part B: Methodological, 56, 265–293.

    Article  Google Scholar 

  • Ganesh, K., & Narendran, T. T. (2007). CLASH: A heuristic to solve vehicle routing problems with delivery, pick-up and time windows. International Journal of Services and Operations Management, 3(4), 460–477.

    Article  Google Scholar 

  • Gendreau, M., Hertz, A., & Laporte, G. (1994). A tabu search heuristic for the vehicle routing problem. Management Science, 40(10), 1276–1290.

    Article  Google Scholar 

  • Gribkovskaia, I., Laporte, G., & Shyshou, A. (2008). The single vehicle routing problem with deliveries and selective pickups. Computers and Operations Research, 35(9), 2908–2924.

    Article  Google Scholar 

  • Hassel, H., & Samaras, J. (1999). Methodology for calculating transport emissions and energy consumption (report for the projet MEET). Edinburgh: Transport Research Laboratory.

    Google Scholar 

  • Hsueh, C. F. (2016). The green vehicle routing problem with stochastic travel speeds. In CICTP 2016 (pp. 1–12).

    Google Scholar 

  • Huang, Y., Shi, C., Zhao, L., & Van Woensel, T. (2012). A study on carbon reduction in the vehicle routing problem with simultaneous pickups and deliveries. In 2012 IEEE international conference on service operations and logistics, and informatics (SOLI) (pp. 302–307). IEEE.

    Google Scholar 

  • Jabali, O., Woensel, T., & De Kok, A. G. (2012). Analysis of travel times and CO2 emissions in time-dependent vehicle routing. Production and Operations Management, 21(6), 1060–1074.

    Article  Google Scholar 

  • Jaramillo, J. R. (2011). The green vehicle routing. In Proceedings, informs annual meeting, October 5–7, Myrtle Beach, South Carolina, USA.

    Google Scholar 

  • Jemai, J., Zekri, M., & Mellouli, K. (2012). An NSGA-II algorithm for the green vehicle routing problem. In Evolutionary computation in combinatorial optimization (pp. 37–48). Berlin: Springer.

    Chapter  Google Scholar 

  • Johnson, D. S., Aragon, C. R., McGeoch, L. A., & Schevon, C. (1989). Optimization by simulated annealing: An experimental evaluation; part I, graph partitioning. Operations Research, 37(6), 865–892.

    Article  Google Scholar 

  • Kara, I., Kara, B., & Yetis, M. K. (2007). Energy minimizing vehicle routing problem. In Combinatorial optimization and applications (pp. 62–71). Berlin: Springer.

    Google Scholar 

  • Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983). Optimization by simulated annealing. Science, 220(4598), 671–680.

    Article  Google Scholar 

  • Koç, Ç., & Karaoglan, I. (2016). The green vehicle routing problem: A heuristic based exact solution approach. Applied Soft Computing, 39, 154–164.

    Article  Google Scholar 

  • Koç, Ç., Bektaş, T., Jabali, O., & Laporte, G. (2014). The fleet size and mix pollution-routing problem. Transportation Research Part B: Methodological, 70, 239–254.

    Article  Google Scholar 

  • Kramer, R., Subramanian, A., Vidal, T., & Lucídio dos Anjos, F. C. (2015). A matheuristic approach for the pollution-routing problem. European Journal of Operational Research, 243(2), 523–539.

    Article  Google Scholar 

  • Kuo, R. J., & Lin, L. M. (2010). Application of a hybrid of genetic algorithm and particle swarm optimization algorithm for order clustering. Decision Support Systems, 49(4), 451–462.

    Article  Google Scholar 

  • Kuo, Y. (2010). Using simulated annealing to minimize fuel consumption for the time-dependent vehicle routing problem. Computers and Industrial Engineering, 59(1), 157–165.

    Article  Google Scholar 

  • Küçükoğlu, İ., & Öztürk, N. (2015). An advanced hybrid meta-heuristic algorithm for the vehicle routing problem with backhauls and time windows. Computers and Industrial Engineering, 86, 60–68.

    Article  Google Scholar 

  • Kwon, Y. J., Choi, Y. J., & Lee, D. H. (2013). Heterogeneous fixed fleet vehicle routing considering carbon emission. Transportation Research Part D: Transport and Environment, 23, 81–89.

    Article  Google Scholar 

  • Li, J. (2012). Vehicle routing problem with time windows for reducing fuel consumption. Journal of Computers, 7(12), 3020–3027.

    Google Scholar 

  • Lin, C., Choy, K. L., Ho, G. T., Chung, S. H., & Lam, H. Y. (2014). Survey of green vehicle routing problem: Past and future trends. Expert Systems with Applications, 41(4), 1118–1138.

    Article  Google Scholar 

  • Lin, L., & Fei, C. (2012). The simulated annealing algorithm implemented by the MATLAB. International Journal of Computer Science Issues (IJCSI), 9(6), 357–360.

    Google Scholar 

  • Maden, W., Eglese, R., & Black, D. (2010). Vehicle routing and scheduling with time-varying data: A case study. Journal of the Operational Research Society, 61(3), 515–522.

    Article  Google Scholar 

  • McKinnon, A. (2010). Environmental sustainability. In Green logistics: Improving the environmental sustainability of logistics. London.

    Google Scholar 

  • Ohlmann, J. W., & Thomas, B. W. (2007). A compressed-annealing heuristic for the traveling salesman problem with time windows. INFORMS Journal on Computing, 19(1), 80–90.

    Article  Google Scholar 

  • Oliveira, P. R. D. C., Mauceri, S., Carroll, P., & Pallonetto, F. (2017). A genetic algorithm for a green vehicle routing problem. In International network optimization conference 2017 (INOC 2017), Lisboa, Portugal, 26–28 February 2017.

    Google Scholar 

  • Omidvar, A., & Tavakkoli-Moghaddam, R. (2012). Sustainable vehicle routing: Strategies for congestion management and refueling scheduling. In 2012 IEEE international energy conference and exhibition (ENERGYCON) (pp. 1089–1094). IEEE.

    Google Scholar 

  • Özyurt, Z., Aksen, D., & Aras, N. (2006). Open vehicle routing problem with time deadlines: Solution methods and an application. In Operations research proceedings 2005 (pp. 73–78). Berlin: Springer.

    Google Scholar 

  • Palmer, A. (2007). The development of an integrated routing and carbon dioxide emissions model for goods vehicles. PhD thesis, School of Management, Cranfield University, Cranfield.

    Google Scholar 

  • Pan, S., Ballot, E., & Fontane, F. (2013). The reduction of greenhouse gas emissions from freight transport by pooling supply chains. International Journal of Production Economics, 143(1), 86–94.

    Article  Google Scholar 

  • Park, Y., & Chae, J. (2014). A review of the solution approaches used in recent G-VRP. International Journal of Advanced Logistics, 3(1–2), 27–37.

    Article  Google Scholar 

  • Peiying, Y., Jiafu, T., & Yang, Y. U. (2013). Based on low carbon emissions cost model and algorithm for vehicle routing and scheduling in picking up and delivering customers to airport service. In 2013 25th Chinese control and decision conference (CCDC) (pp. 1693–1697). IEEE.

    Google Scholar 

  • Pichpibul, T., & Kawtummachai, R. (2013). A heuristic approach based on clarke-wright algorithm for open vehicle routing problem. The Scientific World Journal, 2013, 874349.

    Article  Google Scholar 

  • Piecyk, M. (2010). Carbon auditing of companies, supply chains and products. In 2010 Green logistics: Improving the environmental sustainability of logistics (pp. 49–67). Kogan Page.

    Google Scholar 

  • Ramos, T. R. P., Gomes, M. I., & Barbosa-Póvoa, A. P. (2012). Minimizing CO2 emissions in a recyclable waste collection system with multiple depots. In EUROMA/POMS joint conference (pp. 1–5).

    Google Scholar 

  • Salhi, S., Imran, A., & Wassan, N. A. (2014). The multi-depot vehicle routing problem with heterogeneous vehicle fleet: Formulation and a variable neighborhood search implementation. Computers and Operations Research, 52, 315–325.

    Article  Google Scholar 

  • Suzuki, Y. (2011). A new truck-routing approach for reducing fuel consumption and pollutants emission. Transportation Research Part D: Transport and Environment, 16(1), 73–77.

    Article  Google Scholar 

  • Taha, M., Fors, M. N., & Shoukry, A. A. (2014). An exact solution for a class of green vehicle routing problem. In International conference on industrial engineering and operations management (pp. 7–9).

    Google Scholar 

  • Toro, O., Eliana, M., Escobar, Z., Antonio, H., & Granada, E. (2016). Literature review on the vehicle routing problem in the green transportation context. Luna Azul, 42, 362–387.

    Google Scholar 

  • Treitl, S., Nolz, P. C., & Jammernegg, W. (2014). Incorporating environmental aspects in an inventory routing problem. A case study from the petrochemical industry. Flexible Services and Manufacturing Journal, 26(1–2), 143–169.

    Article  Google Scholar 

  • Tunga, H., Bhaumik, A. K., & Kar, S. (2017). A method for solving bi-objective green vehicle routing problem (g-vrp) through genetic algorithm. Journal of the Association of Engineers, India, 87(1–2), 33–48.

    Article  Google Scholar 

  • Turkish Statistical Institute. (2014). Greenhouse gas emissions inventory, annual statistics, Ankara, Turkey. Retrieved July 21, 2017, from http://www.turkstat.gov.tr/PreHaberBultenleri.do?id=21582

  • Ubeda, S., Arcelus, F. J., & Faulin, J. (2011). Green logistics at Eroski: A case study. International Journal of Production Economics, 131(1), 44–51.

    Article  Google Scholar 

  • Úbeda, S., Faulin, J., Serrano, A., & Arcelus, F. J. (2014). Solving the green capacitated vehicle routing problem using a tabu search algorithm. Lecture Notes in Management Science, 6, 141–149.

    Google Scholar 

  • Urquhart, N., Scott, C., & Hart, E. (2010). Using an evolutionary algorithm to discover low CO2 tours within a travelling salesman problem. In European conference on the applications of evolutionary computation (pp. 421–430). Berlin: Springer.

    Chapter  Google Scholar 

  • Vincent, F. Y., Redi, A. P., Hidayat, Y. A., & Wibowo, O. J. (2017). A simulated annealing heuristic for the hybrid vehicle routing problem. Applied Soft Computing, 53, 119–132.

    Article  Google Scholar 

  • Xiao, Y., Zhao, Q., Kaku, I., & Xu, Y. (2012). Development of a fuel consumption optimization model for the capacitated vehicle routing problem. Computers and Operations Research, 39(7), 1419–1431.

    Article  Google Scholar 

  • Yan, S., Chi, C. J., & Tang, C. H. (2006). Inter-city bus routing and timetable setting under stochastic demands. Transportation Research Part A: Policy and Practice, 40(7), 572–586.

    Google Scholar 

  • Yasin, M., & Vincent, F. Y. (2013). A simulated annealing heuristic for the green vehicle routing problem. In Proceedings of the institute of industrial engineers Asian conference 2013. Singapore: Springer.

    Chapter  Google Scholar 

  • Zhang, Z., Long, K., Wang, J., & Dressler, F. (2014). On swarm intelligence inspired self-organized networking: Its bionic mechanisms, designing principles and optimization approaches. IEEE Communications Surveys and Tutorials, 16(1), 513–537.

    Article  Google Scholar 

  • Zhou, Y., & Lee, G. M. (2017). A lagrangian relaxation-based solution method for a green vehicle routing problem to minimize greenhouse gas emissions. Sustainability, 9(5), 776.

    Article  Google Scholar 

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Correspondence to Erdal Aydemir .

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Karagul, K., Sahin, Y., Aydemir, E., Oral, A. (2019). A Simulated Annealing Algorithm Based Solution Method for a Green Vehicle Routing Problem with Fuel Consumption. In: Paksoy, T., Weber, GW., Huber, S. (eds) Lean and Green Supply Chain Management. International Series in Operations Research & Management Science, vol 273. Springer, Cham. https://doi.org/10.1007/978-3-319-97511-5_6

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