Optimal tour planning with specified nodes

Gilbert Laporte; Hélène Mercure; Yves Norbert

RAIRO - Operations Research - Recherche Opérationnelle (1984)

  • Volume: 18, Issue: 3, page 203-210
  • ISSN: 0399-0559

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Laporte, Gilbert, Mercure, Hélène, and Norbert, Yves. "Optimal tour planning with specified nodes." RAIRO - Operations Research - Recherche Opérationnelle 18.3 (1984): 203-210. <http://eudml.org/doc/104853>.

@article{Laporte1984,
author = {Laporte, Gilbert, Mercure, Hélène, Norbert, Yves},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {travelling salesman; specified nodes; shortest circuit; algorithm},
language = {eng},
number = {3},
pages = {203-210},
publisher = {EDP-Sciences},
title = {Optimal tour planning with specified nodes},
url = {http://eudml.org/doc/104853},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Laporte, Gilbert
AU - Mercure, Hélène
AU - Norbert, Yves
TI - Optimal tour planning with specified nodes
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1984
PB - EDP-Sciences
VL - 18
IS - 3
SP - 203
EP - 210
LA - eng
KW - travelling salesman; specified nodes; shortest circuit; algorithm
UR - http://eudml.org/doc/104853
ER -

References

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  1. 1. G. CARPANETO and P. TOTH, Solution of the Assignment Problem, ACM Transactions on Mathematical Software, Vol, 6, No. 1, 1980, pp. 104-111. 
  2. 2. G. CARPANETO and P. TOTH, Some New Branching and Bounding Criteria for the Asymmetric Travelling Salesman Problem, Management Science, Vol. 26, No. 7. 1980, pp. 736-743. Zbl0445.90089MR591295
  3. 3. G. B. DANTZIG, D. R. FULKERSON and S. M. JOHNSON, Solution of a Large Scale Travelling Salesman Problem, Operations Research, Vol. 2, 1954, pp.393-410. Zbl1187.90007MR70932
  4. 4. S. E. DREYFUS, An Appraisal of Some Shortest-Path Algorithms, Operations Research, Vol. 17, 1969, pp. 395-412. Zbl0172.44202
  5. 5. R. S. GARFINKEL, On Partitioning the Feasible Set in a Branch-and-Bound Algorithm for the Asymmetric Travelling Salesman Problem, Operations Research, Vol. 21, 1973, pp. 340-343. Zbl0266.90041MR353995
  6. 6. M. HELD, Influences of the Travelling Salesman Problem, Paper presented at the XI. International Symposium on Mathematical Programming, Bonn, 1982. 
  7. 7. T. IBARAKI, Shortest Path Problems Visiting Specified Nodes, Electronics and Communications in Japan, Vol. 53-A, 1970, pp. 10-18. MR307962
  8. 8. G. LAPORTE and Y. NOBERT, A Branch and Bound Algorithm for the Capacitated Vehicle Routing Problem, Operations Research Spektrum, Vol. 5, 1983, pp. 77-85. Zbl0523.90088
  9. 9. G. LAPORTE and Y. NOBERT, Finding the Shortest Cycle through k Specified Nodes, Cahiers du GERAD G-83-07, Ecole des Hautes Études Commerciales de Montréal, 1983, 11pages. Zbl0534.05039MR734366
  10. 10. G. LAPORTE, M. DESROCHERS and Y. NOBERT, Two Exact Algorithme for the Distance Constrained Vehicle Routing Problem, Networks, Vol 14, 1984, pp. 161-172. Zbl0538.90093
  11. 11. P. MILIOTIS, G. LAPORTE and Y. NOBERT, Computational Comparison of Two Methods for Finding the Shortest Complete Cycle or Circuit in a Graph, R.A.I.R.O, (recherche opérationnelle), Vol. 15, 1981, pp.233-239. Zbl0472.90066MR637194
  12. 12. J. MUNKRES, Algorithms for the Assignment and Transportation Problems, Journal of S.I.A.M., Vol. 5, No. 1, 1957, p. 32. Zbl0083.15302MR93429
  13. 13. J. P. SAKSENA and S. KUMAR, The Routing Problem with "K" Specified Nodes, Operations Research, Vol. 14, 1966, pp. 909-913. Zbl0142.16803
  14. 14. D. M. SHAPIRO, Algorithms for the Solution of the Optimal Cost and Bottleneck Travelling Salesman Problems, Ph. D. Thesis, Washington University, 1966, 157 pp. 

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