The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Some Simple Applications of the Travelling Salesman Problem
Open accessAbstract
The travelling salesman problem arises in many different contexts. In this paper we report on typical applications in computer wiring, vehicle routing, clustering and job-shop scheduling. The formulation as a travelling salesman problem is essentially the simplest way to solve these problems. Most applications originated from real world problems and thus seem to be of particular interest. Illustrated examples are provided with each application.
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Cites
A note on two problems in connexion with graphs
Dijkstra, E. W. (1959) · Numerische Mathematik · doi:10.1007/bf01386390 · Cited by 24,043
On the shortest spanning subtree of a graph and the traveling salesman problem
Kruskal, J. B. (1956) · Proceedings of the American Mathematical Society · doi:10.1090/s0002-9939-1956-0078686-7 · Cited by 5,088
Shortest Connection Networks And Some Generalizations
Prim, R. C. (1957) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1957.tb01515.x · Cited by 4,565
An Effective Heuristic Algorithm for the Traveling-Salesman Problem
Lin, S., & Kernighan, B. W. (1973) · Operations Research · doi:10.1287/opre.21.2.498 · Cited by 3,821
Complexity of Machine Scheduling Problems
Lenstra, J. K., Rinnooy Kan, A. H. G., & Brucker, P. (1977) · Annals of Discrete Mathematics · doi:10.1016/s0167-5060(08)70743-x · Cited by 2,197
Self-citationThe Traveling-Salesman Problem and Minimum Spanning Trees
Held, M., & Karp, R. M. (1970) · Operations Research · doi:10.1287/opre.18.6.1138 · Cited by 1,440
An Algorithm for the Traveling Salesman Problem
Little, J. D. C., Murty, K. G., Sweeney, D. W., & Karel, C. (1963) · Operations Research · doi:10.1287/opre.11.6.972 · Cited by 1,058
The traveling-salesman problem and minimum spanning trees: Part II
Held, M., & Karp, R. M. (1971) · Mathematical Programming · doi:10.1007/bf01584070 · Cited by 1,018
A Review of the Placement and Quadratic Assignment Problems
Hanan, M., & Kurtzberg, J. M. (1972) · SIAM Review · doi:10.1137/1014035 · Cited by 169
Cited by
The vehicle routing problem: An overview of exact and approximate algorithms
Laporte, G. (1992) · European Journal of Operational Research · doi:10.1016/0377-2217(92)90192-c · Cited by 1,749
Noisy intermediate-scale quantum algorithms
Bharti, K., Cervera-Lierta, A., Kyaw, T. H., Haug, T., Alperin-Lea, S., Anand, A., Degroote, M., Heimonen, H., Kottmann, J. S., Menke, T., et al. (2022) · Reviews of Modern Physics · doi:10.1103/revmodphys.94.015004 · Cited by 2,231
The multiple traveling salesman problem: an overview of formulations and solution procedures
Bektas, T. (2006) · Omega · doi:10.1016/j.omega.2004.10.004 · Cited by 1,153
Routing and scheduling of vehicles and crews
Raff, S. (1983) · Computers & Operations Research · doi:10.1016/0305-0548(83)90030-8 · Cited by 867
Discrete cuckoo search algorithm for the travelling salesman problem
Ouaarab, A., Ahiod, B., & Yang, X.-S. (2014) · Neural Computing and Applications · doi:10.1007/s00521-013-1402-2 · Cited by 454
Metadata
- Authors
- Lenstra, J. K., & Kan, A. H. G. R.
- Venue
- Journal of the Operational Research Society
- Publisher
- Informa UK Limited
- Published
- 1975-12
- Volume
- 26
- Issue
- 4
- Pages
- 717-733
- ISSN
- 0160-5682 (ISSN-L)
- 1476-9360
- OpenAlex
- W2054630393
- Cited by
- 270
- References
- 9
- FWCI
- 33.09
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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