An approach to discrete convexity and its use in an optimal fleet mix problem
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Date
2006
Authors
Cambini, Riccardo
Riccardi, Rossana
Yüceer, Ümit
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Springer-Verlag Berlin
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Abstract
A notion of convexity for discrete functions is first introduced, with the aim to guarantee both the increasing monotonicity of marginal increments and the convexity of the sum of convex functions. Global optimality of local minima is then studied both for single variable functions and for multi variables ones. Finally, a concrete optimal fleet mix problem is studied, pointing out its discrete convexity properties.
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Keywords
Discrete Programming, Discrete Convexity, Optimal Fleet Mix
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Citation
Cambini, Riccardo; Riccardi, Rossana; Yüceer, Ümit, "An approach to discrete convexity and its use in an optimal fleet mix problem", Generalized Convexity And Related Topics, Vol.583, pp.133-148, (2006).
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Source
Generalized Convexity And Related Topics
Volume
583
Issue
Start Page
133
End Page
148