Concerning a Decision-Diagram-Based Solution to the Generalized Directed Rural Postman Problem
Decision-diagram-based solutions for discrete optimization have been persistently studied. Among these is the use of the zero-suppressed binary decision diagram, a compact graph-based representation for a specified family of sets. Such a diagram may work out combinatorial problems by efficient enume...
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| Main Authors: | , , , , |
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| Format: | text |
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Archīum Ateneo
2020
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/145 https://archium.ateneo.edu/cgi/viewcontent.cgi?article=1144&context=mathematics-faculty-pubs |
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| Institution: | Ateneo De Manila University |
| Summary: | Decision-diagram-based solutions for discrete optimization have been persistently studied. Among these is the use of the zero-suppressed binary decision diagram, a compact graph-based representation for a specified family of sets. Such a diagram may work out combinatorial problems by efficient enumeration. In brief, an extension to the frontierbased search approach for zero-suppressed binary decision diagram construction is proposed. The modification allows for the inclusion of a class-determined constraint in formulation. Variations of the generalized directed rural postman problem, proven to be nondeterministic polynomial-time hard, are solved on some rapid transit systems as illustration. Lastly, results are juxtaposed against standard integer programming in establishing the relative superiority of the new technique. |
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