On the interrelationships between knees and aggregate objective functions

Pradyumn Kumar Shukla; Marlon Braun; Hartmut Schmeck

doi:10.1145/2598394.2598483

On the interrelationships between knees and aggregate objective functions

Pradyumn Kumar Shukla, Marlon Braun, Hartmut Schmeck

MSM Marketing

Karlsruher Institut für Technologie (KIT)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Optimizing several objectives that are often at odds with each other provides difficult challenges that are not encountered if having only one goal at hand. One intuitive way to solve a multi-objective problem is to aggregate the objectives and reformulate it as an optimization problem having just a single goal. This goal can be a designer specific aggregation of the objectives or a characterization of knees, trade-offs, utilities, stronger optimality concepts or preferences. This paper examines the theoretical relationships between two knee concepts and aggregate objective functions methods. The changes in the fitness landscape by utilizing different aggregations is also discussed.

Original language	English
Title of host publication	GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference
Publisher	Association for Computing Machinery
Pages	95-96
Number of pages	2
ISBN (Print)	9781450328814
DOIs	https://doi.org/10.1145/2598394.2598483
Publication status	Published - 2014
Event	16th Genetic and Evolutionary Computation Conference, GECCO 2014 - Vancouver, BC, Canada Duration: 12 Jul 2014 → 16 Jul 2014

Publication series

Name	GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference

Conference

Conference	16th Genetic and Evolutionary Computation Conference, GECCO 2014
Country/Territory	Canada
City	Vancouver, BC
Period	12/07/14 → 16/07/14

Keywords

Fitness landscape
Knees
Weighted sum method

Access to Document

10.1145/2598394.2598483

Cite this

Shukla, P. K., Braun, M., & Schmeck, H. (2014). On the interrelationships between knees and aggregate objective functions. In GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference (pp. 95-96). (GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference). Association for Computing Machinery. https://doi.org/10.1145/2598394.2598483

Shukla, Pradyumn Kumar ; Braun, Marlon ; Schmeck, Hartmut. / On the interrelationships between knees and aggregate objective functions. GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference. Association for Computing Machinery, 2014. pp. 95-96 (GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference).

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Shukla, PK, Braun, M & Schmeck, H 2014, On the interrelationships between knees and aggregate objective functions. in GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference. GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference, Association for Computing Machinery, pp. 95-96, 16th Genetic and Evolutionary Computation Conference, GECCO 2014, Vancouver, BC, Canada, 12/07/14. https://doi.org/10.1145/2598394.2598483

On the interrelationships between knees and aggregate objective functions. / Shukla, Pradyumn Kumar; Braun, Marlon; Schmeck, Hartmut.
GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference. Association for Computing Machinery, 2014. p. 95-96 (GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Shukla PK, Braun M, Schmeck H. On the interrelationships between knees and aggregate objective functions. In GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference. Association for Computing Machinery. 2014. p. 95-96. (GECCO 2014 - Companion Publication of the 2014 Genetic and Evolutionary Computation Conference). doi: 10.1145/2598394.2598483

On the interrelationships between knees and aggregate objective functions

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