ISSN2320-2882
Impact Factor9.17
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ESTD2013
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Paper Title
A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals
Authors
Dr. Shyama Prasad Mukherjee
Keywords
Sustainable development; Mathematical modeling; Optimization theory; Resource allocation; Environmental mathematics; Dynamic systems; Sustainability metrics; Decision theory
Abstract
Sustainable development represents one of the most pressing challenges of contemporary society, requiring interdisciplinary approaches that integrate environmental, economic, and social considerations. This paper investigates the fundamental role of mathematics in addressing sustainable development challenges through rigorous theoretical frameworks and practical applications. We develop a comprehensive mathematical model that integrates optimization theory, differential equations, and network analysis to evaluate sustainability metrics across multiple dimensions. Our methodology employs a novel Sustainability Optimization Framework (SOF) that combines linear and nonlinear programming techniques with dynamic systems theory to model resource allocation, environmental impact assessment, and socioeconomic development trajectories. The framework introduces new theorems establishing conditions for optimal sustainable equilibria and proves the existence and uniqueness of solutions under specified constraints. Key findings demonstrate that mathematical approaches can reduce resource consumption inefficiencies by up to 34% while maintaining economic growth targets, as validated through simulation studies across diverse development scenarios. Furthermore, we establish rigorous bounds on sustainability indicators and prove convergence properties of iterative optimization algorithms applied to sustainable development problems. The results contribute to the theoretical foundation of sustainability science while providing practical decision-support tools for policymakers. This research bridges the gap between abstract mathematical theory and concrete sustainable development applications, offering both analytical insights and computational methodologies for achieving the United Nations Sustainable Development Goals.
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How To Cite
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IJCRT — journal style
"A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals", IJCRT - International Journal of Creative Research Thoughts (www.ijcrt.org), ISSN:2320-2882, Vol.11, Issue 12, page no.i429-i447, December 2023, Available :https://ijcrt.org/papers/IJCRT2312951.pdf
APA — 7th edition
Mukherjee, S. P. (2023). A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals. International Journal of Creative Research Thoughts, 11(12), i429-i447. https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951
MLA — 9th edition
Mukherjee, Shyama Prasad. "A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals." International Journal of Creative Research Thoughts, vol. 11, no. 12, 2023, pp. i429-i447, https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951.
Chicago — 17th, bibliography
Mukherjee, Shyama Prasad. "A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals." International Journal of Creative Research Thoughts 11, no. 12 (2023): i429-i447. https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951.
Harvard — author–date
Mukherjee, S.P. (2023) 'A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals', International Journal of Creative Research Thoughts, 11(12), pp. i429-i447. Available at: https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951
IEEE — numbered reference
S. P. Mukherjee, "A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals," IJCRT, vol. 11, no. 12, pp. i429-i447, Dec. 2023.
Vancouver — biomedical
Mukherjee SP. A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals. IJCRT. 2023 Dec;11(12):i429-i447.
AMA — 11th edition
Mukherjee SP. A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals. IJCRT. 2023;11(12):i429-i447. Accessed at https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951
BibTeX — Zotero, Mendeley, LaTeX
@article{IJCRT2312951,
author = {Shyama Prasad Mukherjee},
title = {A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals},
journal = {International Journal of Creative Research Thoughts},
volume = {11},
number = {12},
pages = {i429-i447},
year = {2023},
month = {December},
issn = {2320-2882},
url = {https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951}
}
RIS — EndNote, RefWorks
TY - JOUR
AU - Mukherjee, Shyama Prasad
TI - A Comprehensive Framework for Mathematical Modeling and Optimization in Achieving Sustainability Goals
T2 - International Journal of Creative Research Thoughts
JA - IJCRT
VL - 11
IS - 12
PY - 2023
SN - 2320-2882
UR - https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951
SP - i429-i447
ER -
Issue
Volume 11 Issue 12,
December-2023
Pages : i429-i447
Article Information
- Published In
- International Journal of Creative Research Thoughts — Volume 11, Issue 12, December 2023
- Pages
- i429-i447
- Published
- December 2023
- Registration ID
- IJCRT_304668
- Published Paper ID
- IJCRT2312951
- Research Area
- Mathematics All
- Author Type
- Indian Author
- Location
- India
- Peer Review
- Request Peer Review Report
- Licence
- CC BY 4.0 · Open Access
- ISSN & Impact Factor
- 2320-2882 · IF 9.17
- Downloads
- 260
- Permanent Link
- https://ijcrt.org/viewpaperforall.php?paper=IJCRT2312951
- Published Paper PDF
- https://ijcrt.org/papers/IJCRT2312951.pdf
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International Journal of Creative Research Thoughts
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The authors would like to thank the reviewers and the editorial board of International Journal of Creative Research Thoughts for their careful reading and constructive comments, and all colleagues who supported the preparation of this manuscript.
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