Monotropic Programming: A Generalization of Linear Programming and Network Programming

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Convexity and Duality in Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 256))

Abstract

Duality schemes have been developed for almost all types of optimization problems, but the classical scheme in linear programming has remained the most popular and indeed the only one that is widely familiar. No doubt this is due its simplicity and ease of application as much as its close connection with computation, which is a property shared with other dualities.

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References

  1. R.T. Rockafellar, Network Flows and Monotropic Optimization, Wiley-Inter-science, 1984.

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© 1985 Springer-Verlag Berlin Heidelberg

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Rockafellar, R.T. (1985). Monotropic Programming: A Generalization of Linear Programming and Network Programming. In: Ponstein, J. (eds) Convexity and Duality in Optimization. Lecture Notes in Economics and Mathematical Systems, vol 256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45610-7_2

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  • DOI: https://doi.org/10.1007/978-3-642-45610-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15986-5

  • Online ISBN: 978-3-642-45610-7

  • eBook Packages: Springer Book Archive

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