Branch and Bound Algorithm and an Improvement for Calculating the Nearest Link of Building a Railway Network
Keywords:Branch and bound algorithm, Tree search algorithm, improvement algorithm, decomposition algorithm, network design problem, Network Project Analyses.
AbstractThe importance of branch and bound algorithm is the mathematical improvement to find the value of (X) that Maximize or minimize the objective function within a set of feasible solution, as it is reliable on the efficient evaluation of the bounds of regions or branches of the space of the research, whether they are upper or lower. In this paper, we discussed five cases with respect to branching decisions based on network solutions to calculate the nearest link with a short time. From the results, bound and branch algorithm can develop and change the obtaining solutions for the five cases under study.
San Segundo, P., Coniglio, S., Furini, F., & Ljubi?, I. (2019). A new branch-and-bound algorithm for the maximum edge-weighted clique problem. European Journal of Operational Research, 278(1), 76-90.
Elizabeth, S., & Sujatha, L. (2015). Project scheduling method using triangular intuitionistic fuzzy numbers and triangular fuzzy numbers. Applied Mathematical Sciences, 9(4), 185-198.
Haffner, S., Monticelli, A., Garcia, A., & Romero, R. (2001). Specialised branch-and-bound algorithm for transmission network expansion planning. IEE Proceedings-Generation, Transmission and Distribution, 148(5), 482-488.
Marinescu, R., & Dechter, R. (2009). AND/OR branch-and-bound search for combinatorial optimization in graphical models. Artificial Intelligence, 173(16-17), 1457-1491.
Poorzahedy, H., & Rouhani, O. M. (2007). Hybrid meta-heuristic algorithms for solving network design problem. European Journal of Operational Research, 182(2), 578-596.
Chachan, Hanan, A. & Elaibi, Waleed, M. (2020). Using Robust Ranking & Linear Programming Technique for Fuzzy Projects. Italian Journal of Pure and Applied Mathematics, Acceptance Letter No. (45).
Shanmugasundari, M., & Ganesan, K. (2014). Project scheduling problems under fuzzy environment: A new solution approach. International Journal of Pure and Applied Mathematics, 95(3), 387-399.
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