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Properties of No-Depot MIN-MAX 2-Traveling-Salesmen Problem

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Recent Developments in Cooperative Control and Optimization

Part of the book series: Cooperative Systems ((COSY,volume 3))

Abstract

The Multiple Traveling Salesmen Problem (Multiple-TSP) has been considered in many variations. Some of them can be reduced to a regular TSP by introducing additional vertices. We discuss several modifications of the Multiple-TSP. Particularly, we consider MIN-MAX 2-TSP for which reduction to a regular TSP is not known. We discuss a connection between this class of problems and a subclass of self-dual monotonic Boolean functions.

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References

  1. M. Bellmore and S. Hong. Transformation of multisalesmen problem to the standard traveling salesman problem. J. Assoc. Comput. Machinery, 21: 500–504, 1974.

    MathSciNet  MATH  Google Scholar 

  2. P. M. Franca, M. Gendreau, G. Laporte, and F. M. Muller. The m-traveling salesman problem with minmax objective. Transportation Science, 29: 267–275, 1995.

    Article  MATH  Google Scholar 

  3. E. Ya. Gabovich and I. I. Melamed. On constant discrete programming problems. Discrete Applied Mathematics, 2: 193–205, 1980.

    Article  MathSciNet  MATH  Google Scholar 

  4. E. Giust. Optimisation de Tourness de Vehicules. Application a la Distribution de Gaz. M.Sc. Dissertation. Facultes Universitaires Notre-Dame de la Paix, Namur, Belgium, 1992.

    Google Scholar 

  5. M. R. Rao. A note on the multiple traveling salesmen problem. Operations Research, 28: 628–632, 1980.

    Article  MATH  Google Scholar 

  6. Yu. A. Zuev. Threshold functions and threshold interpretations of Boolean functions. Matematicheskie Voprosy Kibernetiki, 5: 5–61, 1994. In Russian.

    MathSciNet  MATH  Google Scholar 

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© 2004 Kluwer Academic Publishers

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Bugera, V. (2004). Properties of No-Depot MIN-MAX 2-Traveling-Salesmen Problem. In: Butenko, S., Murphey, R., Pardalos, P.M. (eds) Recent Developments in Cooperative Control and Optimization. Cooperative Systems, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0219-3_3

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  • DOI: https://doi.org/10.1007/978-1-4613-0219-3_3

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7947-8

  • Online ISBN: 978-1-4613-0219-3

  • eBook Packages: Springer Book Archive

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