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Matching problems with Knapsack side constraints

A computational study

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Book cover Modern Methods of Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 378))

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Abstract

We present and compare procedures for the approximate solution of the weighted matching problem with side constraints. The approaches are based on Lagrangean relaxation as well as on Lagrangean decomposition. Furthermore we develop an enumerative approach to solve this class of problems exactly. Our computational experiments investigate the efficiency of the relaxation and decompostion method for this lass of problems and are especially focusing on the comparison of different “subgradient methods” for solving the Lagrangean dual.

This work was partially supported by a grant from the Deutsche Forschungsgemeinschaft (DFG)

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© 1992 Springer-Verlag Berlin Heidelberg

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Derigs, U., Metz, A. (1992). Matching problems with Knapsack side constraints. In: Krabs, W., Zowe, J. (eds) Modern Methods of Optimization. Lecture Notes in Economics and Mathematical Systems, vol 378. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02851-3_3

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  • DOI: https://doi.org/10.1007/978-3-662-02851-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55139-3

  • Online ISBN: 978-3-662-02851-3

  • eBook Packages: Springer Book Archive

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