A Neurodynamic Approach to Multiobjective Linear Programming

Man-Fai Leung; Jun Wang

doi:10.1007/978-3-319-92537-0_2

A Neurodynamic Approach to Multiobjective Linear Programming

^*Corresponding author for this work

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

7 Citations (Scopus)

Abstract

In this paper, a neurodynamic approach is proposed for solving multiobjective linear programming problems. Multiple objectives are firstly scalarized using a weighted sum technique. Recurrent neural networks are then adopted to generate Pareto-optimal solutions. To diversify the solutions along Pareto fronts, particle swarm optimization is used to optimize the weights of the scalarized objective function. Numerical results are presented to illustrate the effectiveness of the proposed approaches.

Original language	English
Title of host publication	Advances in Neural Networks - ISNN 2018
Subtitle of host publication	15th International Symposium on Neural Networks, ISNN 2018, Proceedings
Editors	Tingwen Huang, Jiancheng Lv, Changyin Sun , Alexander V. Tuzikov
Publisher	Springer Verlag
Pages	11-18
ISBN (Electronic)	9783319925370
ISBN (Print)	9783319925363
DOIs	https://doi.org/10.1007/978-3-319-92537-0_2
Publication status	Published - Jun 2018
Event	15th International Symposium on Neural Networks (ISNN 2018) - Minsk, Belarus Duration: 25 Jun 2018 → 28 Jun 2018

Publication series

Name	Lecture Notes in Computer Science
Volume	10878
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	15th International Symposium on Neural Networks (ISNN 2018)
Place	Belarus
City	Minsk
Period	25/06/18 → 28/06/18

Research Keywords

Linear programming
Multiobjective optimization
Neurodynamic optimization
Recurrent neural network

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Leung, M.-F., & Wang, J. (2018). A Neurodynamic Approach to Multiobjective Linear Programming. In T. Huang, J. Lv, C. Sun , & A. V. Tuzikov (Eds.), Advances in Neural Networks - ISNN 2018: 15th International Symposium on Neural Networks, ISNN 2018, Proceedings (pp. 11-18). (Lecture Notes in Computer Science; Vol. 10878). Springer Verlag. https://doi.org/10.1007/978-3-319-92537-0_2

@inproceedings{d49ec5922a4943acac47c052d2e51089,

title = "A Neurodynamic Approach to Multiobjective Linear Programming",

abstract = "In this paper, a neurodynamic approach is proposed for solving multiobjective linear programming problems. Multiple objectives are firstly scalarized using a weighted sum technique. Recurrent neural networks are then adopted to generate Pareto-optimal solutions. To diversify the solutions along Pareto fronts, particle swarm optimization is used to optimize the weights of the scalarized objective function. Numerical results are presented to illustrate the effectiveness of the proposed approaches.",

keywords = "Linear programming, Multiobjective optimization, Neurodynamic optimization, Recurrent neural network",

author = "Man-Fai Leung and Jun Wang",

year = "2018",

month = jun,

doi = "10.1007/978-3-319-92537-0_2",

language = "English",

isbn = "9783319925363",

series = "Lecture Notes in Computer Science",

publisher = "Springer Verlag",

pages = "11--18",

editor = "Huang, {Tingwen } and Jiancheng Lv and {Sun }, {Changyin } and Tuzikov, {Alexander V. }",

booktitle = "Advances in Neural Networks - ISNN 2018",

address = "Germany",

note = "15th International Symposium on Neural Networks (ISNN 2018) ; Conference date: 25-06-2018 Through 28-06-2018",

}

Leung, M-F & Wang, J 2018, A Neurodynamic Approach to Multiobjective Linear Programming. in T Huang, J Lv, C Sun & AV Tuzikov (eds), Advances in Neural Networks - ISNN 2018: 15th International Symposium on Neural Networks, ISNN 2018, Proceedings. Lecture Notes in Computer Science, vol. 10878, Springer Verlag, pp. 11-18, 15th International Symposium on Neural Networks (ISNN 2018), Minsk, Belarus, 25/06/18. https://doi.org/10.1007/978-3-319-92537-0_2

A Neurodynamic Approach to Multiobjective Linear Programming. / Leung, Man-Fai ; Wang, Jun.
Advances in Neural Networks - ISNN 2018: 15th International Symposium on Neural Networks, ISNN 2018, Proceedings. ed. / Tingwen Huang; Jiancheng Lv; Changyin Sun ; Alexander V. Tuzikov. Springer Verlag, 2018. p. 11-18 (Lecture Notes in Computer Science; Vol. 10878).

Research output: Chapters, Conference Papers, Creative and Literary Works › RGC 32 - Refereed conference paper (with host publication) › peer-review

TY - GEN

T1 - A Neurodynamic Approach to Multiobjective Linear Programming

AU - Leung, Man-Fai

AU - Wang, Jun

PY - 2018/6

Y1 - 2018/6

N2 - In this paper, a neurodynamic approach is proposed for solving multiobjective linear programming problems. Multiple objectives are firstly scalarized using a weighted sum technique. Recurrent neural networks are then adopted to generate Pareto-optimal solutions. To diversify the solutions along Pareto fronts, particle swarm optimization is used to optimize the weights of the scalarized objective function. Numerical results are presented to illustrate the effectiveness of the proposed approaches.

AB - In this paper, a neurodynamic approach is proposed for solving multiobjective linear programming problems. Multiple objectives are firstly scalarized using a weighted sum technique. Recurrent neural networks are then adopted to generate Pareto-optimal solutions. To diversify the solutions along Pareto fronts, particle swarm optimization is used to optimize the weights of the scalarized objective function. Numerical results are presented to illustrate the effectiveness of the proposed approaches.

KW - Linear programming

KW - Multiobjective optimization

KW - Neurodynamic optimization

KW - Recurrent neural network

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DO - 10.1007/978-3-319-92537-0_2

M3 - RGC 32 - Refereed conference paper (with host publication)

SN - 9783319925363

T3 - Lecture Notes in Computer Science

SP - 11

EP - 18

BT - Advances in Neural Networks - ISNN 2018

A2 - Huang, Tingwen

A2 - Lv, Jiancheng

A2 - Sun , Changyin

A2 - Tuzikov, Alexander V.

PB - Springer Verlag

T2 - 15th International Symposium on Neural Networks (ISNN 2018)

Y2 - 25 June 2018 through 28 June 2018

ER -

A Neurodynamic Approach to Multiobjective Linear Programming

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