Modeling is a fundamental tool in many application research, applied mathematics, business, engineering, and physics. In this study, we have analyzed and proposed the general Python optimization modeling objects(pyomo) software. Our idea provided a fundamental framework for Mathematical model to Improve the mathematical optimization problems skills on Python and learn. The numerical and the applications implemented provided a good feasibility region which give us the optimal solution, we present an algorithm and applications to implement a new technique of Mathematical Modeling for Optimization.
REFERENCES
1.
Tung
, K. K.
(2016
). Topics in mathematical modeling. Princeton University Press
.2.
Belkhir
, S.
, Thomas
, F.
, & Roche
, B.
(2021
). Darwinian Approaches for Cancer Treatment: Benefits of Mathematical Modeling
. Cancers
, 13
(17
), 4448
.3.
Perry
, L. B.
, & Southwell
, L.
(2011
). Developing intercultural understanding and skills: Models and approaches
. Intercultural education
, 22
(6
), 453
–466
.4.
Bynum
, M. L.
, Hackebeil
, G. A.
, Hart
, W. E.
, Laird
, C. D.
, Nicholson
, B. L.
, Siirola
, J. D.
, … & Woodruff
, D. L.
(2021
). Pyomo—Optimization Modeling in Python
(Vol. 67
). Springer Nature
.5.
Diwekar
, U. M.
(2020
). Introduction to applied optimization
(Vol. 22
). Springer Nature
.6.
7.
Hart
, W. E.
(2009
). Python optimization modeling objects (Pyomo). In Operations Research and Cyber-Infrastructure
(pp. 3
–19
). Springer
, Boston, MA
.8.
Pochiraju
, B.
, & Seshadri
, S.
(Eds.). (2019
). Essentials of Business Analytics An Introduction to the Methodology and Its Applications (Vol. 264
). Springer
.9.
Jasa
, J. P.
, Hwang
, J. T.
, & Martins
, J. R.
(2018
). Open-source coupled aerostructural optimization using Python
. Structural and Multidisciplinary Optimization
, 57
(4
), 1815
–18
10.
Yang
, X.
(2008
). Introduction to mathematical optimization
. From linear programming to metaheuristics.
11.
Kadhim
, M. K.
, Wahbi
, F. A.
, & Hasan Alridha
, A.
(2022
). Mathematical optimization modeling for estimating the incidence of clinical diseases
. International Journal of Nonlinear Analysis and Applications
, 13
(1
), 185
–195
.12.
Alridha
, A.
, Wahbi
, F. A.
, & Kadhim
, M. K.
(2021
). Training analysis of optimization models in machine learning
. International Journal of Nonlinear Analysis and Applications
, 12
(2
), 1453
–1461
.13.
Shubham
Sharma
& Ahmed J.
Obaid
(2020
) Mathematical modelling, analysis and design of fuzzy logic controller for the control of ventilation systems using MATLAB fuzzy logic toolbox
, Journal of Interdisciplinary Mathematics
, 23
:4
, 843
–849
, DOI: .
This content is only available via PDF.
© 2023 Author(s).
2023
Author(s)
You do not currently have access to this content.