Document Type : original-application paper

Authors

1 Payam Noor University, Shiraz, Iran.

2 Department of Mathematics, Shiraz University of Technology, Shiraz, Iran.

Abstract

In recent decades, the theory of robust optimization has been introduced as a powerful tool for optimizing uncertain processes. Regarding the Uncertainty of the glycemic load of consumed food, the main purpose of this article is to provide an optimal Iranian diet using a robust optimization to adjust the glycemic load in patients with type 2 diabetes. Diabetes type 2 is a devastating disease, in addition to cardiovascular disease, infectious and kidney diseases, causes insulin resistance and cancer and drugs of cholesterol-lowering have an increased risk of cardiovascular complications and incidence of cancer. Indeed, adjustment of nutrition is important to prevent and control or reduce the complications of diabetes. In this paper, due to the uncertainty of the glycemic load of foods, with collecting necessary nutritional information, the Iranian diet model is determined and analyzed by a robust optimization method. According to this, 75 cases of food (42 Iranian food, 10 Foodstuffs for breakfast, 20 types of fruits and fruit juices and 3 types of dairy products) have been studied locally. The benefits of this model are the ability to adapt according to the person's tastes and opinion of the nutritionist with minimizing changes for the current diet of the individual.

Keywords

Main Subjects

Ehrampush, A., & Homayonfar, R. (2014). Nutrition and diabetes. Tehran, Gamehe negar Publisher. 
Rastmanesh, R., & Rabiei, S. (2011). Guidance for Calculating Nutrition Fact of Iranian Diet. Tehran, Khosravi Publisher with cooperation of Nashr Dibaj.
Anderson, A. M., & Earle, M. D. (1983). Diet planning in the third world by linear and goal programming. Journal of the operational research society34(1), 9-16..
Mulvey, J. M., Vanderbei, R. J., & Zenios, S. A. (1995). Robust optimization of large-scale systems. Operations research43(2), 264-281.
Darmon, N., Ferguson, E., & Briend, A. (2002). Linear and nonlinear programming to optimize the nutrient density of a population's diet: an example based on diets of preschool children in rural Malawi. The American journal of clinical nutrition75(2), 245-253.
Pasic, M., Catovic, A., Bijelonja, I., & Bahtanovic, A. (2012). Goal programming nutrition optimization model. Proceeding of the 23rd international DAAM symposium.
Bas, E. (2014). A robust optimization approach to diet problem with overall glycemic load as objective function. Applied mathematical modelling38(19-20), 4926-4940.
Van Dooren, C., Tyszler, M., Kramer, G., & Aiking, H. (2015). Combining low price, low climate impact and high nutritional value in one shopping basket through diet optimization by linear programming. Sustainability7(9), 12837-12855.
Perignon, M., Masset, G., Ferrari, G., Barré, T., Vieux, F., Maillot, M., ... & Darmon, N. (2016). How low can dietary greenhouse gas emissions be reduced without impairing nutritional adequacy, affordability and acceptability of the diet? A modelling study to guide sustainable food choices. Public health nutrition19(14), 2662-2674.
Horgan, G. W., Perrin, A., Whybrow, S., & Macdiarmid, J. I. (2016). Achieving dietary recommendations and reducing greenhouse gas emissions: modelling diets to minimise the change from current intakes. International journal of behavioral nutrition and physical activity13(1), 46.
Iwuji, A. C., Nnanna, M., & Ndulue, N. I. C. (2016). An optimal DASH diet model for people with hypertension using linear programming approach. Open journal of optimization5(01), 14.
Iwuji, A. C., & Agwu, E. U. (2017). A weighted goal programming model for the DASH diet problem: comparison with the linear programming DASH diet model. American journal of operations research7(05), 307.
Van Dooren, C. (2018). Simultaneous optimisation of the nutritional quality and environmental 520 sustainability of diets (Doctoral dissertation, Amsterdam, the Netherlands: Vrije Universiteit).Retrieved June 29, 2019 from https://research.vu.nl/en/publications/simultaneous-optimisation-of-the-nutritional-quality-and-environm-2
Ben-Tal, A., El Ghaoui, L., & Nemirovski, A. (2009). Robust optimization (Vol. 28). Princeton University Press.
Sim, M. (2004). Robust optimization (Doctoral dissertation, Massachusetts Institute of Technology). Retrieved June 29, 2019 from https://dspace.mit.edu/handle/1721.1/17725
Bertsimas, D., & Sim, M. (2004). The price of robustness. Operations research52(1), 35-53.
Dietary guidelines for Americans 2015-2020 (n.d.) Retrieved June 29, 2019 from
 https://health.gov/dietaryguidelines/2015/resources/2015-2020_Dietary_Guidelines.pdf
Nutritiondata. Nutrition facts. (n.d.). Retrieved June 29, 2019 from http://www.nutritiondata.com
FICO Xpress Optimization Suite (n.d.). Retrieved June 29, 2019 from http://www.fico.com/xpress