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The Diet Problem

Author

Listed:
  • George B. Dantzig

    (Department of Operations Research, Stanford University, Stanford, California 94305-4022)

Abstract

This is a story about connections. If a certain event hadn't happened way back in 1937, then 10 years later it is certain that linear programming and the simplex method would never have happened (at least not then), and many people's lives and the way some enterprises plan their future would have turned out quite differently.

Suggested Citation

  • George B. Dantzig, 1990. "The Diet Problem," Interfaces, INFORMS, vol. 20(4), pages 43-47, August.
    • Handle: RePEc:inm:orinte:v:20:y:1990:i:4:p:43-47
    DOI: 10.1287/inte.20.4.43
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    Citations

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    Cited by:

    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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Ky Vu & Pierre-Louis Poirion & Leo Liberti, 2018. "Random Projections for Linear Programming," Mathematics of Operations Research, INFORMS, vol. 43(4), pages 1051-1071, November.
    7. John R. Birge, 2022. "George Bernard Dantzig," Production and Operations Management, Production and Operations Management Society, vol. 31(5), pages 1909-1911, May.
    8. Corné Van Dooren & Marcelo Tyszler & Gerard F. H. Kramer & Harry Aiking, 2015. "Combining Low Price, Low Climate Impact and High Nutritional Value in One Shopping Basket through Diet Optimization by Linear Programming," Sustainability, MDPI, vol. 7(9), pages 1-19, September.
    9. Susan Garner Garille & Saul I. Gass, 2001. "Stigler's Diet Problem Revisited," Operations Research, INFORMS, vol. 49(1), pages 1-13, February.
    10. 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.
    11. 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.
    12. Carsten Gottschlich & Dominic Schuhmacher, 2014. "The Shortlist Method for Fast Computation of the Earth Mover's Distance and Finding Optimal Solutions to Transportation Problems," PLOS ONE, Public Library of Science, vol. 9(10), pages 1-10, October.

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    Keywords

    programming: linear;

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