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Stigler's Diet Problem Revisited

Author

Listed:
  • Susan Garner Garille

    (University of Maryland, College Park, Maryland 20742)

  • Saul I. Gass

    (University of Maryland, College Park, Maryland 20742)

Abstract

We review Stigler's diet problem, its impact on linear programming and operations research, and we determine minimum cost diets using updated nutritional and cost data. We also discuss how Stigler's diet problem formulation and its extensions have, over the years, influenced dietitians and nutritionists in their search for more wholesome but cost-effective diets.

Suggested Citation

  • Susan Garner Garille & Saul I. Gass, 2001. "Stigler's Diet Problem Revisited," Operations Research, INFORMS, vol. 49(1), pages 1-13, February.
    • Handle: RePEc:inm:oropre:v:49:y:2001:i:1:p:1-13
    DOI: 10.1287/opre.49.1.1.11187
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    References listed on IDEAS

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    1. George B. Dantzig, 1990. "The Diet Problem," Interfaces, INFORMS, vol. 20(4), pages 43-47, August.
    2. Balintfy, Joseph L. & Rook, Sarah P. & Taj, Shahram, 1996. "The index of decent subsistence," Socio-Economic Planning Sciences, Elsevier, vol. 30(4), pages 237-244, December.
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    5. Matthew J. Liberatore & Robert L. Nydick, 1999. "The Teachers' Forum: Breaking the Mold—A New Approach to Teaching the First MBA Course in Management Science," Interfaces, INFORMS, vol. 29(4), pages 99-116, August.
    6. Joseph L. Balintfy, 1975. "A Mathematical Programming System for Food Management Applications," Interfaces, INFORMS, vol. 6(1-part-2), pages 13-31, November.
    7. Lancaster, Lilly M., 1992. "The history of the application of mathematical programming to menu planning," European Journal of Operational Research, Elsevier, vol. 57(3), pages 339-347, March.
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    Cited by:

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    2. J. Álvaro Gómez-Pantoja & M. Angélica Salazar-Aguilar & José Luis González-Velarde, 2021. "The food bank resource allocation problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(1), pages 266-286, April.
    3. Färe, Rolf & Karagiannis, Giannis & Hasannasab, Maryam & Margaritis, Dimitris, 2019. "A benefit-of-the-doubt model with reverse indicators," European Journal of Operational Research, Elsevier, vol. 278(2), pages 394-400.
    4. 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.
    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. Prasad, Ashutosh & Strijnev, Andrei & Zhang, Qin, 2008. "What can grocery basket data tell us about health consciousness?," International Journal of Research in Marketing, Elsevier, vol. 25(4), pages 301-309.

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