Variants of the mixed postman problem solvable using linear programming
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| Nhiều tác giả: | , |
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| Định dạng: | artículo original |
| Trạng thái: | Versión publicada |
| Ngày xuất bản: | 2012 |
| Miêu tả: | Given a connected mixed graph with costs on its edges and arcs, the mixed postman problem consists of finding a minimum cost closed tour of the mixed graph traversing all of its edges and arcs. It is well-known that this problem is NP-hard. However, under certain conditions, the problem can be solved in polynomial time using linear programming, in other words, the corresponding polyhedra are integral. Some of these conditions are: the mixed graph is series parallel or the mixed graph is even. Also, we show that if we add the constraint that each edge is traversed exactly once then the problem can be solved in polynomial time if the set of arcs forms a forest. |
| Quốc gia: | Portal de Revistas UCR |
| Tổ chức giáo dục: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Ngôn ngữ: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/1334 |
| Truy cập trực tuyến: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/1334 |
| Từ khóa: | Mixed graph postman problem linear programming Gráfica mixta problema de cartero programación lineal |