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The Solution of Algebraic Assignment and Transportation Problems

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 157))

Abstract

In this paper solution methods for the algebraic transportation problem (ATP) are considered. The ATP covers besides the Hitchcock and the time transportation problem several other types of transportation problems of practical relevance. The solution methods are based on (weakly) admissible transformations which can be determined by maximal flow resp. by shortest path algorithms. Numerical results for these and primal methods applied to sum and bottleneck assignment resp. transportation problems are mentioned.

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References

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© 1978 Springer-Verlag Berlin Heidelberg

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Burkard, R.E., Zimmermann, U. (1978). The Solution of Algebraic Assignment and Transportation Problems. In: Henn, R., Korte, B., Oettli, W. (eds) Optimization and Operations Research. Lecture Notes in Economics and Mathematical Systems, vol 157. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-95322-4_6

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  • DOI: https://doi.org/10.1007/978-3-642-95322-4_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08842-4

  • Online ISBN: 978-3-642-95322-4

  • eBook Packages: Springer Book Archive

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