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The Lee Path Connection Algorithm
September 1974 (vol. 23 no. 9)
pp. 907-914
F. Rubin, System Development Division, IBM Corporation
The Lee path connection algorithm is probably the most widely used method for finding wire paths on printed circuit boards. It is shown that the original claim of generality for the path cost function is incorrect, and a restriction, called the pathconsistency property, is introduced. The Lee algorithm holds for those path cost functions having this property. Codings for the cells of the grid are proposed which will allow the correct operation of the algorithm under the most general path cost function, using the minimum number of states possible, six states per cell. Then methods for reducing the number of calculations by increasing the number of states are presented.
Index Terms:
Cell coding, heuristic search, Lee algorithm, path cost function, printed circuit board, rectangular grids, shortest path problem, wire routing.
Citation:
F. Rubin, "The Lee Path Connection Algorithm," IEEE Transactions on Computers, vol. 23, no. 9, pp. 907-914, Sept. 1974, doi:10.1109/T-C.1974.224054
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