Approximation algorithms for some routing problems
Several polynomial time approximation algorithms for some NP-complete routing problems are presented, and the worst-case ratios of the cost of the obtained route to that of an optimal are determined. A mixed-strategy heuristic with a bound of 9/5 is presented for the Stacker-Crane problem (a modifie...
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| Vydáno v: | Annual Symposium on Foundations of Computer Science s. 216 - 227 |
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| Jazyk: | angličtina |
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01.10.1976
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| ISSN: | 0272-5428 |
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| Abstract | Several polynomial time approximation algorithms for some NP-complete routing problems are presented, and the worst-case ratios of the cost of the obtained route to that of an optimal are determined. A mixed-strategy heuristic with a bound of 9/5 is presented for the Stacker-Crane problem (a modified Traveling Salesman problem). A tour-splitting heuristic is given for k-person variants of the Traveling Salesman problem, the Chinese Postman problem, and the Stacker-Crane problem, for which a minimax solution is sought. This heuristic has a bound of e + 1 - 1/k, where e is the bound for the corresponding 1-person algorithm. |
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| AbstractList | Several polynomial time approximation algorithms for some NP-complete routing problems are presented, and the worst-case ratios of the cost of the obtained route to that of an optimal are determined. A mixed-strategy heuristic with a bound of 9/5 is presented for the Stacker-Crane problem (a modified Traveling Salesman problem). A tour-splitting heuristic is given for k-person variants of the Traveling Salesman problem, the Chinese Postman problem, and the Stacker-Crane problem, for which a minimax solution is sought. This heuristic has a bound of e + 1 - 1/k, where e is the bound for the corresponding 1-person algorithm. |
| Author | Kim, Chul E. Hecht, Matthew S. Frederickson, Greg N. |
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| Snippet | Several polynomial time approximation algorithms for some NP-complete routing problems are presented, and the worst-case ratios of the cost of the obtained... |
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| SubjectTerms | Approximation algorithms Cities and towns Computer science Cost function Cranes Educational institutions Minimax techniques Polynomials Routing Traveling salesman problems |
| Title | Approximation algorithms for some routing problems |
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