1. An Exact Algorithm for the Elementary Shortest Path Problem with Resource Constraints.
- Author
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Lozano, Leonardo, Duque, Daniel, and Medaglia, Andrés L.
- Subjects
- *
ROUTING (Computer network management) , *NUMERICAL solutions to boundary value problems , *ALGORITHM research , *TRAFFIC engineering , *TRANSPORTATION research , *MATHEMATICAL models - Abstract
The elementary shortest path problem with resource constraints (ESPPRC) is an NP-hard problem that often arises in the context of column generation for vehicle routing problems. We propose an exact solution method that relies on implicit enumeration with a novel bounding scheme that dramatically narrows the search space. We embedded our algorithm within a column generation to solve the linear relaxation (root node) of the vehicle routing problem with time windows (VRPTW) and found that the proposed algorithm performs well when compared against state-of-the-art algorithms for the ESPPRC on the well-known Solomon's test bed for the VRPTW. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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