Recursive approximation of the high dimensional max function

Ş I. Birbil; S. C. Fang; J. B.G. Frenk; S. Zhang

doi:10.1016/j.orl.2004.11.004

Recursive approximation of the high dimensional max function

Ş I. Birbil, S. C. Fang, J. B.G. Frenk, S. Zhang

Industrial and Systems Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

This paper proposes a smoothing method for the general n-dimensional max function, based on a recursive extension of smoothing functions for the two-dimensional max function. A theoretical framework is introduced, and some applications are discussed. Finally, a numerical comparison with a well-known smoothing method is presented.

Original language	English (US)
Pages (from-to)	450-458
Number of pages	9
Journal	Operations Research Letters
Volume	33
Issue number	5
DOIs	https://doi.org/10.1016/j.orl.2004.11.004
State	Published - Sep 2005

Keywords

Recursive approximation
Smoothing methods
n-dimensional max function

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10.1016/j.orl.2004.11.004

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title = "Recursive approximation of the high dimensional max function",

abstract = "This paper proposes a smoothing method for the general n-dimensional max function, based on a recursive extension of smoothing functions for the two-dimensional max function. A theoretical framework is introduced, and some applications are discussed. Finally, a numerical comparison with a well-known smoothing method is presented.",

keywords = "Recursive approximation, Smoothing methods, n-dimensional max function",

author = "Birbil, {{\c S} I.} and Fang, {S. C.} and Frenk, {J. B.G.} and S. Zhang",

year = "2005",

month = sep,

doi = "10.1016/j.orl.2004.11.004",

language = "English (US)",

volume = "33",

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AU - Birbil, Ş I.

AU - Fang, S. C.

AU - Frenk, J. B.G.

AU - Zhang, S.

PY - 2005/9

Y1 - 2005/9

N2 - This paper proposes a smoothing method for the general n-dimensional max function, based on a recursive extension of smoothing functions for the two-dimensional max function. A theoretical framework is introduced, and some applications are discussed. Finally, a numerical comparison with a well-known smoothing method is presented.

AB - This paper proposes a smoothing method for the general n-dimensional max function, based on a recursive extension of smoothing functions for the two-dimensional max function. A theoretical framework is introduced, and some applications are discussed. Finally, a numerical comparison with a well-known smoothing method is presented.

KW - Recursive approximation

KW - Smoothing methods

KW - n-dimensional max function

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M3 - Article

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SP - 450

EP - 458

JO - Operations Research Letters

JF - Operations Research Letters

IS - 5

ER -

Recursive approximation of the high dimensional max function

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Keywords

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