IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0216516.html
   My bibliography  Save this article

Best compromise nutritional menus for childhood obesity

Author

Listed:
  • Paul Bello
  • Pedro Gallardo
  • Lorena Pradenas
  • Jacques A Ferland
  • Victor Parada

Abstract

Childhood obesity is an undeniable reality that has rapidly increased in many countries. Obesity at an early age not only increases the risks of chronic diseases but also produces a problem for the whole healthcare system. One way to alleviate this problem is to provide each patient with an appropriate menu that is defined by a mathematical model. Existing mathematical models only partially address the objective and constraints of childhood obesity; therefore, the solutions provided are insufficient for health specialists to prepare nutritional menus for individual patients. This manuscript proposes a multiobjective mathematical programming model to aid in healthy nutritional menu planning that may prevent childhood obesity. This model provides a plan for combinations and amounts of food across different schedules and daily meals. This approach minimizes the major risk factors of childhood obesity (i.e., glycemic load and cholesterol intake). In addition, this approach considers the minimization of nutritional mismatch and total cost. The model is solved using a deterministic method and two metaheuristic methods. Test instances associated with children aged 4–18 years were created with the support of health professionals to complete this numerical study. The quality of the solutions generated using the three methods was similar, but the metaheuristic methods provided solutions in a shorter computational time. These results are submitted to statistical hypothesis tests to be validated. The numerical results indicate proper guidelines for personalized plans for individual children.

Suggested Citation

  • Paul Bello & Pedro Gallardo & Lorena Pradenas & Jacques A Ferland & Victor Parada, 2020. "Best compromise nutritional menus for childhood obesity," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-19, January.
    • Handle: RePEc:plo:pone00:0216516
    DOI: 10.1371/journal.pone.0216516
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0216516
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0216516&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0216516?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. George B. Dantzig, 1990. "The Diet Problem," Interfaces, INFORMS, vol. 20(4), pages 43-47, August.
    2. George J. Stigler, 1945. "The Cost of Subsistence," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 27(2), pages 303-314.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. F Dubeau, 2019. "Behavior Related to Taxation System: Example of Bi-Criteria Linear Program for Animal Diet Formulation," Annals of Social Sciences & Management studies, Juniper Publishers Inc., vol. 3(3), pages 60-65, April.
    2. François Dubeau & Pierre-Olivier Julien & Candido Pomar, 2011. "Formulating diets for growing pigs: economic and environmental considerations," Annals of Operations Research, Springer, vol. 190(1), pages 239-269, October.
    3. John R. Birge, 2022. "George Bernard Dantzig," Production and Operations Management, Production and Operations Management Society, vol. 31(5), pages 1909-1911, May.
    4. Susan Garner Garille & Saul I. Gass, 2001. "Stigler's Diet Problem Revisited," Operations Research, INFORMS, vol. 49(1), pages 1-13, February.
    5. Hrayer Aprahamian & Sergiy Butenko & Zachary Hunt & Mykyta Makovenko & Celine Martin & Miltiades Pardalos & Stephen Talcott, 2023. "Can Fast Food Eating Patterns Be Healthy? An Optimization-Based Analysis of Popular US Fast-Food Chains," SN Operations Research Forum, Springer, vol. 4(1), pages 1-57, March.
    6. Daniel Espinoza & Eduardo Moreno, 2014. "A primal-dual aggregation algorithm for minimizing conditional value-at-risk in linear programs," Computational Optimization and Applications, Springer, vol. 59(3), pages 617-638, December.
    7. Dag Haugland & Eligius M. T. Hendrix, 2016. "Pooling Problems with Polynomial-Time Algorithms," Journal of Optimization Theory and Applications, Springer, vol. 170(2), pages 591-615, August.
    8. Bai, Yan & Costlow, Leah & Ebel, Alissa & Laves, Sarah & Ueda, Yurika & Volin, Natalie & Zamek, Maya & Herforth, Anna & Masters, William A., 2021. "Review: Retail consumer price data reveal gaps and opportunities to monitor food systems for nutrition," Food Policy, Elsevier, vol. 104(C).
    9. Alok Bhargava, 2006. "Modelling the Health of Filipino Children," World Scientific Book Chapters, in: Econometrics, Statistics And Computational Approaches In Food And Health Sciences, chapter 11, pages 153-168, World Scientific Publishing Co. Pte. Ltd..
    10. Färe, Rolf & Karagiannis, Giannis, 2014. "Benefit-of-the-doubt aggregation and the diet problem," Omega, Elsevier, vol. 47(C), pages 33-35.
    11. Chen Zhen & Michael K. Wohlgenant, 2006. "Meat Demand under Rational Habit Persistence," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 54(4), pages 477-495, December.
    12. Schneider, Kate & Masters, William & Webb, Patrick & Christiaensen, Luc, 2020. "Sources, intake levels, and shadow prices of essential nutrients in rural Malawi: Evidence from household surveys and market prices reveal the cost of vitamins and minerals," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304483, Agricultural and Applied Economics Association.
    13. Torres-Rojo, J. M., 2001. "Risk management in the design of a feeding ration: a portfolio theory approach," Agricultural Systems, Elsevier, vol. 68(1), pages 1-20, April.
    14. Ümit Sakallı & Ömer Baykoç & Burak Birgören, 2011. "Stochastic optimization for blending problem in brass casting industry," Annals of Operations Research, Springer, vol. 186(1), pages 141-157, June.
    15. Manipushpak Mitra & Debapriya Sen, 2022. "A microeconomic analysis of subsistence," Indian Economic Review, Springer, vol. 57(2), pages 301-320, December.
    16. Irz, Xavier & Leroy, Pascal & Réquillart, Vincent & Soler, Louis-Georges, 2015. "Economic assessment of nutritional recommendations," Journal of Health Economics, Elsevier, vol. 39(C), pages 188-210.
    17. Thomas H. Noe & Stephen D. Smith, 1997. "The buck stops where? The role of limited liability in economics," Economic Review, Federal Reserve Bank of Atlanta, vol. 82(Q 1), pages 46-56.
    18. Bhargava, Alok, 1997. "Editor's introduction: Analysis of data on health," Journal of Econometrics, Elsevier, vol. 77(1), pages 1-4, March.
    19. Tamura, Robert, 2002. "Human capital and the switch from agriculture to industry," Journal of Economic Dynamics and Control, Elsevier, vol. 27(2), pages 207-242, December.
    20. Srinivasan, C.S. & Irz, Xavier & Shankar, Bhavani, 2006. "An assessment of the potential consumption impacts of WHO dietary norms in OECD countries," Food Policy, Elsevier, vol. 31(1), pages 53-77, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0216516. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.