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The Traveling Salesman Problem: A Survey
Abstract
A survey and synthesis of research on the traveling salesman problem is given. We begin by defining the problem and presenting several theorems. This is followed by a general classification of the solution techniques and a detailed description of some of the proven methods. Finally a summary of computational results is given.
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Cited by
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
Routing and scheduling of vehicles and crews
Raff, S. (1983) · Computers & Operations Research · doi:10.1016/0305-0548(83)90030-8 · Cited by 867
An Analysis of Several Heuristics for the Traveling Salesman Problem
Rosenkrantz, D. J., Stearns, R. E., & Lewis, II (1977) · SIAM Journal on Computing · doi:10.1137/0206041 · Cited by 837
An analysis of several heuristics for the traveling salesman problem
Rosenkrantz, D. J., Stearns, R. E., & Lewis, P. M. (2009) · Fundamental Problems in Computing · doi:10.1007/978-1-4020-9688-4_3 · Cited by 772
Metadata
- Authors
- Bellmore, M., & Nemhauser, G. L.
- Venue
- Operations Research
- Published
- 1968-06
- Volume
- 16
- Issue
- 3
- Pages
- 538-558
- ISSN
- 0030-364X (ISSN-L)
- 1526-5463
- OpenAlex
- W3118260104
- Cited by
- 411
- References
- 0
- FWCI
- 142.98
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Traveling Salesman Problem: A Survey. https://app.cochat.ai/papers/10.1287/opre.16.3.538
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- Bellmore, M., & Nemhauser, G. L. (1968). The Traveling Salesman Problem: A Survey. Operations Research. https://doi.org/10.1287/opre.16.3.538
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
