Unconstrained Quadratic Programming Problem with Uncertain Parameters

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sie_long_kek
sie_long_kek
2
Sie Long Kek
Sie Long Kek
3
Harley Ooi
Harley Ooi
4
Fong Peng Lim
Fong Peng Lim

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In this paper, an unconstrained quadratic programming problem with uncertain parameters is discussed. For this purpose, the basic idea of optimizing the unconstrained quadratic programming problem is introduced. The solution method of solving linear equations could be applied to obtain the optimal solution for this kind of problem. Later, the theoretical work on the optimization of the unconstrained quadratic programming problem is presented. By this, the model parameters, which are unknown values, are considered. In this uncertain situation, it is assumed that these parameters are normally distributed; then, the simulation on these uncertain parameters are performed, so the quadratic programming problem without constraints could be solved iteratively by using the gradient-based optimization approach. For illustration, an example of this problem is studied. The computation procedure is expressed, and the result obtained shows the optimal solution in the uncertain environment. In conclusion, the unconstrained quadratic programming problem, which has uncertain parameters, could be solved successfully.

4 Cites in Articles

References

  1. B Carl,H Moskowitz,H Furtan (1977). Quadratic Programming Applications.
  2. P Guo,G Huang,Y Li (2008). Interval stochastic quadratic programming approach for municipal solid waste management.
  3. Sunarsih Sunarsih,Sutrisno Sutrisno (2019). Multi-period Quadratic Programming Model for Sewon-Bantul Facultative Ponds Optimization.
  4. Jing Zhou (2020). A New Spatial Branch and Bound Algorithm for Quadratic Program with One Quadratic Constraint and Linear Constraints.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

sie_long_kek. 2021. \u201cUnconstrained Quadratic Programming Problem with Uncertain Parameters\u201d. Global Journal of Research in Engineering - I: Numerical Methods GJRE-I Volume 21 (GJRE Volume 21 Issue I1): .

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Uncertain quadratic programming and optimization in engineering research.
Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

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GJRE-I Classification: FOR Code: 010399
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v1.2

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September 30, 2021

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English

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In this paper, an unconstrained quadratic programming problem with uncertain parameters is discussed. For this purpose, the basic idea of optimizing the unconstrained quadratic programming problem is introduced. The solution method of solving linear equations could be applied to obtain the optimal solution for this kind of problem. Later, the theoretical work on the optimization of the unconstrained quadratic programming problem is presented. By this, the model parameters, which are unknown values, are considered. In this uncertain situation, it is assumed that these parameters are normally distributed; then, the simulation on these uncertain parameters are performed, so the quadratic programming problem without constraints could be solved iteratively by using the gradient-based optimization approach. For illustration, an example of this problem is studied. The computation procedure is expressed, and the result obtained shows the optimal solution in the uncertain environment. In conclusion, the unconstrained quadratic programming problem, which has uncertain parameters, could be solved successfully.

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Unconstrained Quadratic Programming Problem with Uncertain Parameters

Sie Long Kek
Sie Long Kek
Harley Ooi
Harley Ooi
Fong Peng Lim
Fong Peng Lim

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