On efficiency of a single variable bi-objective optimization algorithm

James M. Calvin; Antanas Žilinskas

doi:10.1007/s11590-019-01471-4

On efficiency of a single variable bi-objective optimization algorithm

James M. Calvin
, Antanas Žilinskas

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

7 Scopus citations

Abstract

We consider the problem of approximating the Pareto front in the bi-objective optimization problem with twice continuously-differentiable functions. An algorithm is described that is efficient in the sense that the number of function evaluations that are not on the true Pareto front grows as the square of the logarithm of the number of function evaluations.

Original language	English (US)
Pages (from-to)	259-267
Number of pages	9
Journal	Optimization Letters
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11590-019-01471-4
State	Published - Feb 1 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Optimization
Business, Management and Accounting (miscellaneous)

Keywords

Bi-objective optimization
Efficiency
Global optimization

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10.1007/s11590-019-01471-4

Cite this

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title = "On efficiency of a single variable bi-objective optimization algorithm",

abstract = "We consider the problem of approximating the Pareto front in the bi-objective optimization problem with twice continuously-differentiable functions. An algorithm is described that is efficient in the sense that the number of function evaluations that are not on the true Pareto front grows as the square of the logarithm of the number of function evaluations.",

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AU - Žilinskas, Antanas

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AB - We consider the problem of approximating the Pareto front in the bi-objective optimization problem with twice continuously-differentiable functions. An algorithm is described that is efficient in the sense that the number of function evaluations that are not on the true Pareto front grows as the square of the logarithm of the number of function evaluations.

KW - Bi-objective optimization

KW - Efficiency

KW - Global optimization

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UR - https://www.scopus.com/pages/publications/85071665995#tab=citedBy

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ER -

On efficiency of a single variable bi-objective optimization algorithm

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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