Using concave optimization methods for inexact quadratic programming problems with an application to waste management

Sumati Mahajan; S. K. Gupta; Izhar Ahmad; S. Al-Homidan

doi:10.1186/s13660-021-02588-w

Using concave optimization methods for inexact quadratic programming problems with an application to waste management

Sumati Mahajan, S. K. Gupta, Izhar Ahmad^*, S. Al-Homidan

^*Corresponding author for this work

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

2 Scopus citations

Abstract

Quadratic programming is potentially capable of strategic decision making in real world problems. However, practical problems rarely conform to crisp parameters, and hence the prospects of these problems with inexact parameters are inevitably higher. The existing studies regarding public welfare schemes/ organizations reveal that their objectives end up as minimization of cost functions and are governed by linear or concave quadratic programming problems. The present study proposes a method that can be applied to concave type quadratic objective function subject to linear constraints with inexact parameters. A comparison is also drawn with existing methods to establish its simplicity and efficiency. Further, a numerical example is illustrated, and finally, a waste management problem is formulated and solved using the proposed method.

Original language	English
Article number	60
Journal	Journal of Inequalities and Applications
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13660-021-02588-w
State	Published - 2021

Bibliographical note

Funding Information:
The authors sincerely acknowledge the valuable suggestions and recommendations of the anonymous reviewers which have considerably improved the presentation and quality of the paper. The first author is also thankful to the Quality Improvement Programme Centre of IIT Roorkee along with All India Council of Technical Education for their support to carry out this work. The third and fourth authors thank the King Fahd University of Petroleum and Minerals for the support under the project no. SB191005.

Funding Information:
The authors sincerely acknowledge the valuable suggestions and recommendations of the anonymous reviewers which have considerably improved the presentation and quality of the paper. The first author is also thankful to the Quality Improvement Programme Centre of IIT Roorkee along with All India Council of Technical Education for their support to carry out this work. The third and fourth authors thank the King Fahd University of Petroleum and Minerals for the support under the project no. SB191005.

Publisher Copyright:
© 2021, The Author(s).

Keywords

Concave optimization
Inexact parameters
Quadratic programming problem
Waste management

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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abstract = "Quadratic programming is potentially capable of strategic decision making in real world problems. However, practical problems rarely conform to crisp parameters, and hence the prospects of these problems with inexact parameters are inevitably higher. The existing studies regarding public welfare schemes/ organizations reveal that their objectives end up as minimization of cost functions and are governed by linear or concave quadratic programming problems. The present study proposes a method that can be applied to concave type quadratic objective function subject to linear constraints with inexact parameters. A comparison is also drawn with existing methods to establish its simplicity and efficiency. Further, a numerical example is illustrated, and finally, a waste management problem is formulated and solved using the proposed method.",

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AU - Ahmad, Izhar

AU - Al-Homidan, S.

N1 - Funding Information: The authors sincerely acknowledge the valuable suggestions and recommendations of the anonymous reviewers which have considerably improved the presentation and quality of the paper. The first author is also thankful to the Quality Improvement Programme Centre of IIT Roorkee along with All India Council of Technical Education for their support to carry out this work. The third and fourth authors thank the King Fahd University of Petroleum and Minerals for the support under the project no. SB191005. Funding Information: The authors sincerely acknowledge the valuable suggestions and recommendations of the anonymous reviewers which have considerably improved the presentation and quality of the paper. The first author is also thankful to the Quality Improvement Programme Centre of IIT Roorkee along with All India Council of Technical Education for their support to carry out this work. The third and fourth authors thank the King Fahd University of Petroleum and Minerals for the support under the project no. SB191005. Publisher Copyright: © 2021, The Author(s).

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N2 - Quadratic programming is potentially capable of strategic decision making in real world problems. However, practical problems rarely conform to crisp parameters, and hence the prospects of these problems with inexact parameters are inevitably higher. The existing studies regarding public welfare schemes/ organizations reveal that their objectives end up as minimization of cost functions and are governed by linear or concave quadratic programming problems. The present study proposes a method that can be applied to concave type quadratic objective function subject to linear constraints with inexact parameters. A comparison is also drawn with existing methods to establish its simplicity and efficiency. Further, a numerical example is illustrated, and finally, a waste management problem is formulated and solved using the proposed method.

AB - Quadratic programming is potentially capable of strategic decision making in real world problems. However, practical problems rarely conform to crisp parameters, and hence the prospects of these problems with inexact parameters are inevitably higher. The existing studies regarding public welfare schemes/ organizations reveal that their objectives end up as minimization of cost functions and are governed by linear or concave quadratic programming problems. The present study proposes a method that can be applied to concave type quadratic objective function subject to linear constraints with inexact parameters. A comparison is also drawn with existing methods to establish its simplicity and efficiency. Further, a numerical example is illustrated, and finally, a waste management problem is formulated and solved using the proposed method.

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Using concave optimization methods for inexact quadratic programming problems with an application to waste management

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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