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Abstrakty
A generalization of the Chinese Postman Problem is studied in which the delays at a subset of priority nodes are penalized in the cost function. As it is shown that the problem is NP-hard, two tour constructing heuristics are proposed, and their properties are studied. It is proved that one of the heuristics gives optimal solutions on a subset of instances with bounded cost of delays. The implementations of the heuristics are compared on several types of randomly generated instances.
Rocznik
Tom
Strony
233--264
Opis fizyczny
Bibliogr. 28 poz.
Twórcy
autor
autor
autor
- University of Maribor, Faculty of Logistics, Cejle, Slovenia, tomaz.kramberger@uni-mb.si
Bibliografia
- [1] Blum, A., Chalasani, P., Coppersmith, D., Pulleyblank, B., Raghavan, P., Sudan, M., The Minimum Latency Problem, Proceedings of the Twenty-Sixth Annual ACM Symposium on Theory of Computing, Montreal, Quebec, Canada, 1994, 163-171.
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- [3] Brightwell, G. R., Winkler, P., Note on Counting Eulerian Circuits, Proceedings of the 23rd Annual ACM Symposium on Theory of Computing, Montreal, 1991, 175-181.
- [4] Chabrier, A., Vehicle Routing Problem with elementary shortest path based column generation, Computers & Operations Research 33, 2006, 2972-2990.
- [5] Dijkstra, E. W., A note on two problems in connection with graphs, Numerische Mathematik 1, 1959, 269-271.
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- [7] Edmonds, J., The Chinese Postman's Problem, ORSA Bull. 13, 1965, 283-294
- [8] Eiselt, H. A., Gendreau, M., Laporte, G., Arc routing problems, Part I: The Chinese postman problem, Operations Research 43(2), 1995, 231-242.
- [9] Eiselt, H. A., Gendreau, M., Laporte, G., Arc routing problem, Part II: The Rural postman problem, Operations Research 43(3), 1995, 399-414.
- [10] Fleischner, H., Eulerian graphs and related topics, Part 1, vol 2, Annals of discrete mathematics 50, Elsevier Science Publishers, Amsterdam, 1991.
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- [15] Kramberger, T., Žerovnik J., A contribution to environmentally friendly winter road maintenance: Optimizing road de-icing, Transportation Research Part D 13, 2008, 340-346.
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- [17] Lemieux, P. F., Campagna, L., The snow ploughing problem solved by a graph theory algorithm, Civil Engineering Systems 1, 1984, 337-341.
- [18] Letchford, A. N., Eglese, R. W., The Rural Postman Problem with Deadline Classes, European Journal of Operational Research 105, 1998, 390-400.
- [19] Mehlhorn, K., Näher, S., LEDA: A Platform for Combinatorial and Geometric Computing, Cambridge University Press, Cambridge, 1999.
- [20] Ngueve, S. U., Prins, C., Wolfler-Calvo,. R., A Memetic Algorithm for the Cumulative Capacitated Vehicle Routing Problem, EU/MEeting 2008 - Troyes, Prance, 2008.
- [21] Pesek, I., Schaerf, A., Žerovnik, J., Hybrid Local Search Techniques for the Resource-Constrained Project Scheduling Problem, Lecture Notes in Computer Science 4771, 2007,57-68.
- [22] Pevzner, P. A., Tang, H., Waterman, M. S., An Eulerian path approach to DNA fragment assembly, Proceedings oft he National Academy of Sciences, 98(17), 2001, 9748-9753.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPP2-0014-0052