2015
DOI: 10.1080/0951192x.2015.1033019
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A rectilinear pipe routing algorithm: Manhattan visibility graph

Abstract: Pipe routing can be briefly formulated as seeking the shortest collision-free pipe paths while meeting certain engineering constraints. This article presents a new rectilinear pipe routing algorithm called Manhattan visibility graph (MVG) by extending the Visibility Graph method used for finding the shortest collision-free paths in Euclidean spaces to Manhattan spaces. Subsequently, the article proves that MVG can theoretically guarantee an optimal solution. Further, the article extends MVG algorithm to surfac… Show more

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Cited by 4 publications
(8 citation statements)
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“…The reliability of the results obtained is ensured by the use of proven methods of theoretical and experimental research and does not contradict the works [13][14][15][16][17][18][19]. The reliability is confirmed by comparing the experimental data obtained by field measurements during the production of 88 pipeline routes for the Azimuth Rotor Tug 85-32W tugboats of the YN-512546 project, built according to the requirements of Bureau Veritas Register (France) and VR Register (Vietnam).…”
Section: Fig 4 Theoretical Position Of Routementioning
confidence: 55%
“…The reliability of the results obtained is ensured by the use of proven methods of theoretical and experimental research and does not contradict the works [13][14][15][16][17][18][19]. The reliability is confirmed by comparing the experimental data obtained by field measurements during the production of 88 pipeline routes for the Azimuth Rotor Tug 85-32W tugboats of the YN-512546 project, built according to the requirements of Bureau Veritas Register (France) and VR Register (Vietnam).…”
Section: Fig 4 Theoretical Position Of Routementioning
confidence: 55%
“…In Lee’s work, the problem domain is divided into cells, and the pipe path is routed upon the cells. His domain-decomposition method has had profound influences on later researches, including [ 2 , 3 , 4 , 5 , 7 , 8 , 12 , 13 , 14 , 15 ] and this work. In [ 12 ], Kim et al propose to split the domain into regions first.…”
Section: Related Workmentioning
confidence: 99%
“…Finally, they build a graph upon the domain and compute the pipe path by using Dijkstra’s algorithm. In another work [ 14 ], Liu revises Lee’s method and uses the underlying regular grid to construct a rectilinear visibility graph such that collisions are avoided and the computation is sped up. A similar approach to representing the problem domain by using a graph can be found in the work of [ 5 ].…”
Section: Related Workmentioning
confidence: 99%
See 1 more Smart Citation
“…Liu and Wang [8][9] used the European viewable method to establish the viewable view of the curved surface in the space, which was used to solve the layout planning of the shortest pipe on the surface of the casing of typical complex aviation engine with complex equipment. Based on the European viewable method, they studied and rose to the Manhattan visibility graph to solve the problem of the shortest pipe planning of right-angle pipe [10].…”
Section: Introductionmentioning
confidence: 99%