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» Constrained Shortest Path Computation
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FOCS
2010
IEEE
13 years 7 months ago
Replacement Paths via Fast Matrix Multiplication
Let G be a directed edge-weighted graph and let P be a shortest path from s to t in G. The replacement paths problem asks to compute, for every edge e on P, the shortest s-to-t pat...
Oren Weimann, Raphael Yuster
CP
2003
Springer
14 years 2 months ago
Cost-Based Filtering for Shorter Path Constraints
Abstract. Many real world problems, e.g. personnel scheduling and transportation planning, can be modeled naturally as Constrained Shortest Path Problems (CSPPs), i.e., as Shortest...
Meinolf Sellmann
CCCG
2003
13 years 11 months ago
Shortest Paths in Two Intersecting Pencils of Lines
Suppose one has a line arrangement and one wants to find a shortest path from one point lying on a line of the arrangement to another such point. We look at a special case: the a...
David Hart
COMPGEOM
2000
ACM
14 years 2 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia

Publication
2630views
15 years 8 months ago
DIJKSTRA’S and Fast Marching Method for Optimal Path Planning
This technical report illustrates the differences in solving the optimal path problem (shortest path) using different methods, where the underlying PDE can be described by the eik...
RYO TAKEI