How to cite this paper
Comert, S., Yazgan, H & Turk, G. (2022). Hopfield neural network based on clustering algorithms for solving green vehicle routing problem.International Journal of Industrial Engineering Computations , 13(4), 573-586.
Refrences
Abdel-Moetty, S. M. (2010). Traveling salesman problem using neural network techniques. In The 7th International Conference on Informatics and Systems (INFOS). Cairo, Egypt.
Comert, S.E., Yazgan, H.R., Kır, S., & Yener, F. (2018). A cluster first-route second approach for a capacitated vehicle routing problem: a case study. International Journal of Procurement Management, 11(4), 399-419.
Dantzig, G., & Ramser, J. (1959). The Truck Dispatching Problem. Management Science, 6(1), 80-91.
Erdoğan, S., & Miller-Hooks, E. (2012). A Green Vehicle Routing Problem. Transportation Research Part E: Logistics and Transportation Review, 48(1), 100–114.
Han, J., & Kamber, M. (2001). Data Mining and Concepts Techniques. San Francisco: Morgan Kaufmann Publishers Inc.
Hopfield, J.J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America, 79(8), 2554–2558.
Hopfield, J.J., & Tank, D.W. (1985). Neural Computation of Decisions in Optimization Problems. Biological Cybernetics, 52, 141-152.
Jain, A.K., Mao, J., & Mohiuddin, K.M. (1996). Artificial Neural Networks: A Tutorial. Computer, 29(3), 31-44.
Jolai, F. & Ghanbari, A. (2010). Integrating data transformation techniques with Hopfield neural networks for solving travelling salesman problem. Expert Systems with Applications, 37(7), 5331-5335.
Kamgar-Parsi, B., & Kamgar-Parsi, B. (1992). Dynamical Stability and Parameter Selection in Neural Optimization. In Proceedings International Joint Conference on Neural Networks (Vol. 4, pp. 566-571).
Kaufman, L., & Rousseeuw, P. J. (1990). Finding Groups in data: An Introduction to Cluster Analysis. John Wiley and Son.
Lai, W.K., & Coghill, G.G. (1992). Genetic Breeding of Control Parameters for the Hopfield/Tank Neural Net. In Proceedings International Joint Conference on Neural Networks (Vol. 4, pp. 618-623).
Lenstra, J.K., & Rinnooy Kan, A.H.G. (1981). Complexity of vehicle routing and scheduling problems. Networks, 11(2), 221–227.
Li, R., Qiao, J., & Li, W. (2016, June). A Modified Hopfield Neural Network for Solving TSP Problem. In 2016 12th World Congress on Intelligent Control and Automation (WCICA) (pp. 1775-1780).
Lippmann, R.P. (1987). An Introduction to Computing with Neural Nets. IEEE ASSP Magazine, 4(2), 4-22.
Luo, Y. (2019, July). Design and Improvement of Hopfield network for TSP, In AICS 2019: Proceedings of the 2019 International Conference on Artificial Intelligence and Computer Science (pp. 79–83).
MacQueen, J. (1967). Some methods for classification and analysis of multivariate observations. In Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability (Vol. 1, pp. 281–297).
Nie, Y., & Li, Q. (2013). An eco-routing model considering microscopic vehicle operating conditions. Transportation Research Part B Methodological, 55, 154–170.
Oshima, R., Uwate, Y., & Nishio, Y. (2015, December). Hopfield Neural Network with Synaptic Pruning for TSP, In International Symposium on Nonlinear Theory and its Applications NOLTA2015 (pp. 105-108).
Rao, V. B. (1995). Neural networks and fuzzy logic. M&T Books, IDG Books Worldwide, Inc.
Rojas, R. (1996). Neural Networks - A Systematic Introduction. Springer-Verlag, Berlin.
Salvador, S. & Chan, P. (2003). Determining the number of clusters/segments in hierarchical clustering/segmentation algorithms. In 16th IEEE International Conference on Tools with Artificial Intelligence. Boca Raton, FL, USA.
Sarwar, F., & Bhatti, A.A. (2012). Critical analysis of hopfield's neural network model for TSP and its comparison with heuristic algorithm for shortest path computation. In Proceedings of 9th International Bhurban Conference on Applied Sciences & Technology (IBCAST) (pp. 111-114).
Tan, K.C., Tang, H., & Ge, S.S. (2005). On Parameter Settings of Hopfield Networks Applied to Traveling Salesman Problems. IEEE Transactions on Circuits and Systems—I: Regular Papers, 52(5), 994-1002.
Tan, P. N., Steinbach, M., & Kumar, V. (2006). Introduction to Data Mining. Addison Wesley.
Toth, P., & Vigo, D. (2002). The vehicle routing problem, in: Discrete Mathematics and Applications. Philadelphia.
Van den Bout, D.E., & Miller, T.K. (1988). A Travelling Salesman Objective Function that works. In Proceedings IEEE International Conference on Neural Networks (Vol. 2, pp. 299-303).
Wilson, G.V. & Pawley, G.S. (1988). On the stability of the Travelling Salesman Problem algorithm of Hopfield and Tank. Biological Cybernetics, 58, 63–70.
Wu, H., & Yang, Y. (2004, December). Application of continous hopfield network to solve the TSP. In 8th International Conference on Control, Automation, Robotics and Vision Kunming (pp. 2258-2263).
Xu, R. & Wunsch, D. (2005). Survey of Clustering Algorithms. IEEE Transactions on Neural Networks, 16(3), 645-678.
Zhong, C., Luo, C., Chu, Z., & Gan, W. (2017). A continuous hopfield neural network based on dynamic step for the traveling salesman problem. In International Joint Conference on Neural Networks (IJCNN) (pp. 3318-3323).
Comert, S.E., Yazgan, H.R., Kır, S., & Yener, F. (2018). A cluster first-route second approach for a capacitated vehicle routing problem: a case study. International Journal of Procurement Management, 11(4), 399-419.
Dantzig, G., & Ramser, J. (1959). The Truck Dispatching Problem. Management Science, 6(1), 80-91.
Erdoğan, S., & Miller-Hooks, E. (2012). A Green Vehicle Routing Problem. Transportation Research Part E: Logistics and Transportation Review, 48(1), 100–114.
Han, J., & Kamber, M. (2001). Data Mining and Concepts Techniques. San Francisco: Morgan Kaufmann Publishers Inc.
Hopfield, J.J. (1982). Neural networks and physical systems with emergent collective computational abilities. Proceedings of the National Academy of Sciences of the United States of America, 79(8), 2554–2558.
Hopfield, J.J., & Tank, D.W. (1985). Neural Computation of Decisions in Optimization Problems. Biological Cybernetics, 52, 141-152.
Jain, A.K., Mao, J., & Mohiuddin, K.M. (1996). Artificial Neural Networks: A Tutorial. Computer, 29(3), 31-44.
Jolai, F. & Ghanbari, A. (2010). Integrating data transformation techniques with Hopfield neural networks for solving travelling salesman problem. Expert Systems with Applications, 37(7), 5331-5335.
Kamgar-Parsi, B., & Kamgar-Parsi, B. (1992). Dynamical Stability and Parameter Selection in Neural Optimization. In Proceedings International Joint Conference on Neural Networks (Vol. 4, pp. 566-571).
Kaufman, L., & Rousseeuw, P. J. (1990). Finding Groups in data: An Introduction to Cluster Analysis. John Wiley and Son.
Lai, W.K., & Coghill, G.G. (1992). Genetic Breeding of Control Parameters for the Hopfield/Tank Neural Net. In Proceedings International Joint Conference on Neural Networks (Vol. 4, pp. 618-623).
Lenstra, J.K., & Rinnooy Kan, A.H.G. (1981). Complexity of vehicle routing and scheduling problems. Networks, 11(2), 221–227.
Li, R., Qiao, J., & Li, W. (2016, June). A Modified Hopfield Neural Network for Solving TSP Problem. In 2016 12th World Congress on Intelligent Control and Automation (WCICA) (pp. 1775-1780).
Lippmann, R.P. (1987). An Introduction to Computing with Neural Nets. IEEE ASSP Magazine, 4(2), 4-22.
Luo, Y. (2019, July). Design and Improvement of Hopfield network for TSP, In AICS 2019: Proceedings of the 2019 International Conference on Artificial Intelligence and Computer Science (pp. 79–83).
MacQueen, J. (1967). Some methods for classification and analysis of multivariate observations. In Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability (Vol. 1, pp. 281–297).
Nie, Y., & Li, Q. (2013). An eco-routing model considering microscopic vehicle operating conditions. Transportation Research Part B Methodological, 55, 154–170.
Oshima, R., Uwate, Y., & Nishio, Y. (2015, December). Hopfield Neural Network with Synaptic Pruning for TSP, In International Symposium on Nonlinear Theory and its Applications NOLTA2015 (pp. 105-108).
Rao, V. B. (1995). Neural networks and fuzzy logic. M&T Books, IDG Books Worldwide, Inc.
Rojas, R. (1996). Neural Networks - A Systematic Introduction. Springer-Verlag, Berlin.
Salvador, S. & Chan, P. (2003). Determining the number of clusters/segments in hierarchical clustering/segmentation algorithms. In 16th IEEE International Conference on Tools with Artificial Intelligence. Boca Raton, FL, USA.
Sarwar, F., & Bhatti, A.A. (2012). Critical analysis of hopfield's neural network model for TSP and its comparison with heuristic algorithm for shortest path computation. In Proceedings of 9th International Bhurban Conference on Applied Sciences & Technology (IBCAST) (pp. 111-114).
Tan, K.C., Tang, H., & Ge, S.S. (2005). On Parameter Settings of Hopfield Networks Applied to Traveling Salesman Problems. IEEE Transactions on Circuits and Systems—I: Regular Papers, 52(5), 994-1002.
Tan, P. N., Steinbach, M., & Kumar, V. (2006). Introduction to Data Mining. Addison Wesley.
Toth, P., & Vigo, D. (2002). The vehicle routing problem, in: Discrete Mathematics and Applications. Philadelphia.
Van den Bout, D.E., & Miller, T.K. (1988). A Travelling Salesman Objective Function that works. In Proceedings IEEE International Conference on Neural Networks (Vol. 2, pp. 299-303).
Wilson, G.V. & Pawley, G.S. (1988). On the stability of the Travelling Salesman Problem algorithm of Hopfield and Tank. Biological Cybernetics, 58, 63–70.
Wu, H., & Yang, Y. (2004, December). Application of continous hopfield network to solve the TSP. In 8th International Conference on Control, Automation, Robotics and Vision Kunming (pp. 2258-2263).
Xu, R. & Wunsch, D. (2005). Survey of Clustering Algorithms. IEEE Transactions on Neural Networks, 16(3), 645-678.
Zhong, C., Luo, C., Chu, Z., & Gan, W. (2017). A continuous hopfield neural network based on dynamic step for the traveling salesman problem. In International Joint Conference on Neural Networks (IJCNN) (pp. 3318-3323).