A Hybrid Meta-Heuristic Algorithm to Solve Four-Dimensional Transportation Problems
Abstract
This paper presents the development of a hybrid meta-heuristic algorithm that combines the capabilities of a Genetic Algorithm and an Ant Colony Algorithm to address the complex challenges of non-classical four-dimensional transport problems. The study aims to improve transportation efficiency and reduce associated costs through an optimization strategy that uses genetic diversity and optimization mechanisms derived from Ants' behavior. The experimental approach methodology is designed and implemented using a hybrid algorithm on a test data set derived from realistic transportation scenarios, specifically focusing on measuring cost improvements. The main results revealed the ability of the hybrid algorithm to determine the optimal strategy and provide more efficient solutions at a lower cost than traditional algorithms. The research's impact on the field of meta-heuristic algorithms is significant, as it introduces a new approach that enhances the efficiency of transportation and logistics in various sectors, thereby opening new horizons for research and development in this area. The study also recommends further research, particularly the exploration of integrating the hybrid algorithm with machine learning techniques to increase its ability to predict and adapt to changes in transportation data.
Downloads
References
Abo-Kila, T., Abo-Elnaga, Y., & Mousa, A. A. A. (2021). Multi-Objective Multi-Dimensional Transportation: A Case Study to the Flow of the Commodities of the Main Roads to Main Nodes in the North Western Coastal Strip of Egypt. Journal of Geographic Information System, 13(03), 353–368. https://doi.org/10.4236/jgis.2021.133020
Alobaedy, M. M., & Ku-Mahamud, K. R. (2014). Scheduling jobs in computational grid using hybrid ACS and GA approach. 2014 IEEE Computers, Communications and IT Applications Conference, 223–228. https://doi.org/10.1109/ComComAp.2014.7017200
Alqussi, M. M. (2015). Administrative Mathematics. Academic Book Center.
Andrew, A. (2013). Generalising the Kőnig‐Egerváry theorem. Kybernetes, 42(4), 628–640. https://doi.org/10.1108/K-10-2012-0084
Baidya, A. (2022). Supply Chain Networking Models Under Fuzzy Uncertainty.
Bakhayt, A.-G. K. (2016). SOLVING BI-OBJECTIVE 4-DIMENSIONAL TRANSPORTATION PROBLEM BY USING PSO. Science International, 28(3).
Bent, R., & Van Hentenryck, P. (2004). A Two-Stage Hybrid Local Search for the Vehicle Routing Problem with Time Windows. Transportation Science, 38(4), 515–530. https://doi.org/10.1287/trsc.1030.0049
Berman, O., Drezner, Z., Wang, Q., & Wesolowsky, G. O. (2008). The route expropriation problem. IIE Transactions, 40(4), 468–477. https://doi.org/10.1080/07408170701592465
Bi, S., Dong, X., & Ma, Y. (2012). The Design and Analysis of TSP Problem Based on Genetic Algorithm and Ant Colony Algorithm. International Journal of Education and Management Engineering, 2(9), 56–60. https://doi.org/10.5815/ijeme.2012.09.09
Bulut, H., & Bulut, S. A. (2003). Construction and algebraic characterizations of a planar four-index transportation problem equivalent to a circularization network flow problem. International Journal of Computer Mathematics, 80(11), 1373–1383. https://doi.org/10.1080/00207160310001603325
Chaves, E., Garcia, E., & Gilmore, S. (2006). Consensus Building in Transportation Planning Practice. Transportation Research Record: Journal of the Transportation Research Board, 1981(1), 76–83. https://doi.org/10.1177/0361198106198100112
Halder Jana, S., Jana, B., Das, B., Panigrahi, G., & Maiti, M. (2019). Constrained FC 4D MITPs for Damageable Substitutable and Complementary Items in Rough Environments. Mathematics, 7(3), 281. https://doi.org/10.3390/math7030281
Hang, P., Gong, N., Liu, Y., Yan, Y., & Hu, Y. (2023). Research on global path planning of intelligent vehicles based on improved ant colony algorithm. Journal of Physics: Conference Series, 2674(1), 012027. https://doi.org/10.1088/1742-6596/2674/1/012027
Hedid, M., & Zitouni, R. (2020). Solving the four index fully fuzzy transportation problem. Croatian Operational Research Review, 11(2), 199–215. https://doi.org/10.17535/crorr.2020.0016
Hillier, F. S. (2012). Introduction to operations research. Tata McGraw-Hill Education.
Hitchcock, F. L. (1941). The distribution of a product from several sources to numerous localities. Journal of Mathematics and Physics, 20(1–4), 224–230.
Kamel, M., & Mahdi, F. (2024). استخدام الخوارزميات الجينية لتحسين أداء الأجهزة الطبية. Al Kut Journal of Economics and Administrative Sciences, 16(51), 1–21. https://doi.org/10.29124/kjeas.1651.01
Mullender, S. J., Van Rossum, G., Tananbaum, A. S., Van Renesse, R., & Van Staveren, H. (1990). Amoeba: A distributed operating system for the 1990s. Computer, 23(5), 44–53.
Pinnoju, V. R., Khalil Mohammed, A. E. A., & Halfa, I. K. (2019). STUDY OF A TRANSPORTATION PROBLEM OF AN ESSENTIAL ITEM FROM THE INDIAN ORIGINS TO THE KSA DESTINATIONS USING NQM. International Journal of Engineering Applied Sciences and Technology, 04(07), 390–395. https://doi.org/10.33564/IJEAST.2019.v04i07.065
Revathi, A., Mohanaselvi, S., & Jana, D. (2021). Uncertain multi objective multi item four dimensional transportation problem with vehicle speed. Proceedings of the First International Conference on Computing, Communication and Control System, I3CAC 2021, 7-8 June 2021, Bharath University, Chennai, India. https://doi.org/10.4108/eai.7-6-2021.2308686
Salcedo-Sanz, S., Xu, Y., & Yao, X. (2006). Hybrid meta-heuristics algorithms for task assignment in heterogeneous computing systems. Computers & Operations Research, 33(3), 820–835. https://doi.org/10.1016/j.cor.2004.08.010
Samanta, S., Chakraborty, D., & Jana, D. K. (2024). Uncertain 4D-transportation problem with maximum profit and minimum carbon emission. The Journal of Analysis, 32(1), 471–508. https://doi.org/10.1007/s41478-023-00654-8
Shi, K., Huang, L., Jiang, D., Sun, Y., Tong, X., Xie, Y., & Fang, Z. (2022). Path Planning Optimization of Intelligent Vehicle Based on Improved Genetic and Ant Colony Hybrid Algorithm. Frontiers in Bioengineering and Biotechnology, 10. https://doi.org/10.3389/fbioe.2022.905983
Williams, H. P. (2013). Model building in mathematical programming. John Wiley & Sons.
Zhao, X., & Wu, Q.-L. (2019). A Hybrid Ant Colony Algorithm for Fresh Delivery Route Optimization Considering Quality Loss. Proceedings of the 5th Annual International Conference on Management, Economics and Social Development (ICMESD 2019). https://doi.org/10.2991/icmesd-19.2019.6
Zitouni, R., & Achache, M. (2017). A numerical comparison between two exact simplicial methods for solving a capacitated 4-index transportation problem. Journal of Numerical Analysis and Approximation Theory, 46(2), 181–192. https://doi.org/10.33993/jnaat462-1116