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Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming

Received: 9 August 2020    Accepted: 25 August 2020    Published: 21 September 2020
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Abstract

Linear Programming is an optimization technique to attain the most effective outcome or optimize the objective function (like maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships called the constraints. In this paper, we have discussed fundamental and detailed techniques of formulating LPs models in various real-life decision problems, decisions, works, etc. In the human body, an unhealthy diet can cause a lot of nutrition-related diseases. Sometimes, having a proper diet costs beyond one’s limit and it affects us to develop a diet based budget-friendly nutrition model. Our goal is to minimize the total cost considering the required amount of nutrition values required. To construct the study we took some standard values of nutrition ingredients to compute the budget-friendly values. It's quite hard to resolve most of the real-life models with a large number of decision variables & constraints by hand calculations implies the use of AMPL (A Mathematical Programming Language) coding to get the optimal result. The number of variables & constraints isn't mattered in any respect for the computer techniques used in this study. This study results in some standard values of diet plan for optimizing the nutrition for a particular person with limited costs.

Published in Science Journal of Applied Mathematics and Statistics (Volume 8, Issue 5)
DOI 10.11648/j.sjams.20200805.12
Page(s) 59-66
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Optimization, Linear Programming Diet, Optimization Model, Real-Life Application, AMPL, Computer-Based Program

References
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Cite This Article
  • APA Style

    Tanzila Yeasmin Nilu, Shek Ahmed, Hashnayne Ahmed. (2020). Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming. Science Journal of Applied Mathematics and Statistics, 8(5), 59-66. https://doi.org/10.11648/j.sjams.20200805.12

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    ACS Style

    Tanzila Yeasmin Nilu; Shek Ahmed; Hashnayne Ahmed. Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming. Sci. J. Appl. Math. Stat. 2020, 8(5), 59-66. doi: 10.11648/j.sjams.20200805.12

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    AMA Style

    Tanzila Yeasmin Nilu, Shek Ahmed, Hashnayne Ahmed. Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming. Sci J Appl Math Stat. 2020;8(5):59-66. doi: 10.11648/j.sjams.20200805.12

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  • @article{10.11648/j.sjams.20200805.12,
      author = {Tanzila Yeasmin Nilu and Shek Ahmed and Hashnayne Ahmed},
      title = {Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {8},
      number = {5},
      pages = {59-66},
      doi = {10.11648/j.sjams.20200805.12},
      url = {https://doi.org/10.11648/j.sjams.20200805.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20200805.12},
      abstract = {Linear Programming is an optimization technique to attain the most effective outcome or optimize the objective function (like maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships called the constraints. In this paper, we have discussed fundamental and detailed techniques of formulating LPs models in various real-life decision problems, decisions, works, etc. In the human body, an unhealthy diet can cause a lot of nutrition-related diseases. Sometimes, having a proper diet costs beyond one’s limit and it affects us to develop a diet based budget-friendly nutrition model. Our goal is to minimize the total cost considering the required amount of nutrition values required. To construct the study we took some standard values of nutrition ingredients to compute the budget-friendly values.  It's quite hard to resolve most of the real-life models with a large number of decision variables & constraints by hand calculations implies the use of AMPL (A Mathematical Programming Language) coding to get the optimal result. The number of variables & constraints isn't mattered in any respect for the computer techniques used in this study. This study results in some standard values of diet plan for optimizing the nutrition for a particular person with limited costs.},
     year = {2020}
    }
    

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  • TY  - JOUR
    T1  - Analysis of Diet Choice towards a Proper Nutrition Plan by Linear Programming
    AU  - Tanzila Yeasmin Nilu
    AU  - Shek Ahmed
    AU  - Hashnayne Ahmed
    Y1  - 2020/09/21
    PY  - 2020
    N1  - https://doi.org/10.11648/j.sjams.20200805.12
    DO  - 10.11648/j.sjams.20200805.12
    T2  - Science Journal of Applied Mathematics and Statistics
    JF  - Science Journal of Applied Mathematics and Statistics
    JO  - Science Journal of Applied Mathematics and Statistics
    SP  - 59
    EP  - 66
    PB  - Science Publishing Group
    SN  - 2376-9513
    UR  - https://doi.org/10.11648/j.sjams.20200805.12
    AB  - Linear Programming is an optimization technique to attain the most effective outcome or optimize the objective function (like maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships called the constraints. In this paper, we have discussed fundamental and detailed techniques of formulating LPs models in various real-life decision problems, decisions, works, etc. In the human body, an unhealthy diet can cause a lot of nutrition-related diseases. Sometimes, having a proper diet costs beyond one’s limit and it affects us to develop a diet based budget-friendly nutrition model. Our goal is to minimize the total cost considering the required amount of nutrition values required. To construct the study we took some standard values of nutrition ingredients to compute the budget-friendly values.  It's quite hard to resolve most of the real-life models with a large number of decision variables & constraints by hand calculations implies the use of AMPL (A Mathematical Programming Language) coding to get the optimal result. The number of variables & constraints isn't mattered in any respect for the computer techniques used in this study. This study results in some standard values of diet plan for optimizing the nutrition for a particular person with limited costs.
    VL  - 8
    IS  - 5
    ER  - 

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Author Information
  • Department of Computer Science and Engineering, Green University of Bangladesh, Dhaka, Bangladesh

  • Department of Mathematics, University of Barishal, Barishal, Bangladesh

  • Department of Mathematics, University of Barishal, Barishal, Bangladesh

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