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Parallelization of the branch-and-bound algorithm in transportation discrete network design problem

Zarrinmehr, A ; Sharif University of Technology

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  1. Type of Document: Article
  2. Publisher: Sharif University of Technology
  3. Abstract:
  4. Transportation Discrete Network Design Problem (TDNDP) aims at choosing a subset of proposed projects to minimize the users' total travel time with respect to a budget constraint. Because TDNDP is a hard combinatorial problem, recent research has widely addressed heuristic approaches and ignored the exact solution. This paper explores how application of parallel computation can affect the performance of an exact algorithm in TDNDP. First, we show that the Branch-and-Bound (B&B) algorithm, proposed by LeBlanc, is well adapted to a parallel design with synchronized Master-Slave (MS) paradigm. Then, we develop a parallel B&B algorithm and implement it with two search strategies of Depth-First-Search (DFS) and Best-First-Search (BFS). Detailed results over up to 16 processing cores are reported and discussed in an illustrative example of the Chicago Sketch network. The results suggest an almost linear speedup for both strategies, which slightly drops as more processing cores are added. When using 16 processing cores, the speedup values of 11.80 and 12.20 are achieved for DFS and BFS strategies, respectively. Furthermore, the BFS strategy reveals a very fast parallel performance by finding the optimal solution via the minimum computational effort
  5. Keywords:
  6. Master-slave paradigm ; Parallel branch-andbound algorithm ; Parallel computing ; Transportation discrete network design ; Budget control ; Complex networks ; Heuristic methods ; Parallel processing systems ; Travel time ; Branch-and-bound algorithms ; Combinatorial problem ; Depth-First-Search (DFS) ; Discrete network design problem ; Discrete networks ; Master slave ; Parallel branches ; Parallel Computation ; Branch and bound method
  7. Source: Scientia Iranica ; Volume 23, Issue 2 , 2016 , Pages 407-419 ; 10263098 (ISSN)