2001
DOI: 10.1049/ip-gtd:20010502
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Specialised branch-and-bound algorithm for transmission network expansion planning

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Cited by 68 publications
(37 citation statements)
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“…In [3][4][5] constructive heuristic algorithms have been used to solve the TNEP problem. Mathematical models based on classical optimization techniques, such the Benders' decomposition [6][7][8] and branch and bound methods [9,10], have also been used to solve the TNEP problem. Intelligent metaheuristic algorithms such as (1) simulated annealing, (2) tabu search, (3) genetic algorithms, and (4) harmony search algorithm have been proposed in [11][12][13][14], respectively, to solve the TNEP problem.…”
Section: The Transmission Network Expansion Planning Problemmentioning
confidence: 99%
See 1 more Smart Citation
“…In [3][4][5] constructive heuristic algorithms have been used to solve the TNEP problem. Mathematical models based on classical optimization techniques, such the Benders' decomposition [6][7][8] and branch and bound methods [9,10], have also been used to solve the TNEP problem. Intelligent metaheuristic algorithms such as (1) simulated annealing, (2) tabu search, (3) genetic algorithms, and (4) harmony search algorithm have been proposed in [11][12][13][14], respectively, to solve the TNEP problem.…”
Section: The Transmission Network Expansion Planning Problemmentioning
confidence: 99%
“…Also, the metaheuristics are more robust in terms of processing time and find better solutions than the other classical optimization methods, such as the Benders decomposition and branch and bound methods. Thus, for example, while analyzing a huge and complex problem for the relaxed model called transportation, in [9], it was verified that the Benders decomposition algorithm presents great difficulty in convergence and the branch and bound algorithm finds quality solutions but does not converge due to the prohibitive processing time. However, the metaheuristics present the best solution for the dc model with acceptable processing time [13].…”
Section: The Transmission Network Expansion Planning Problemmentioning
confidence: 99%
“…The authors indicate that the algorithm is consistent, and intend to implement it to solve the DC model with security and multi-stage planning considerations. Other versions of B&B algorithm applied to transmission network expansion problem are presented in the papers of Haffner et al [33] and Choi et al [12].…”
Section: Branch and Bound Algorithmmentioning
confidence: 99%
“…Classical optimization techniques, such as linear programming [1,2], bender decomposition [3][4][5], and branch and bound methods [6,7], are applied previously to solve the Transmission network expansion problem (TNEP) problem. Simulated annealing, tabu search, harmony search algorithm, and GA are metaheuristic techniques which have been applied to solve the problem of transmission planning [8][9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%