Pre-Emptive and Non-Pre-Emptive Goal Programming Problems for Optimal Menu Planning in Diet Management of Indian Diabetes Mellitus Patients

Kiran Kumar Paidipati, Hyndhavi Komaragiri and Christophe Chesneau
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Kiran Kumar Paidipati: Department of Statistics, Lady Shri Ram College for Women, University of Delhi, New Delhi 110024, India
Hyndhavi Komaragiri: Department of Statistics, Pondicherry University, Puducherry 605014, India
Christophe Chesneau: Department of Mathematics, LMNO, Campus II, Université de Caen-Normandie, Science 3, 14032 Caen, France

IJERPH, 2021, vol. 18, issue 15, 1-12

Abstract: Diet management or caloric restriction for diabetes mellitus patients is essential in order to reduce the disease’s burden. Mathematical programming problems can help in this regard; they have a central role in optimal diet management and in the nutritional balance of food recipes. The present study employed linear optimization models such as linear, pre-emptive, and non-pre-emptive goal programming problems (LPP, PGP and NPGP) to minimize the deviations of over and under achievements of specific nutrients for optimal selection of food menus with various energy (calories) levels. Sixty-two food recipes are considered, all selected because of being commonly available for the Indian population and developed dietary intake for meal planning through optimization models. The results suggest that a variety of Indian food recipes with low glycemic values can be chosen to assist the varying glucose levels (>200 mg/dL) of Indian diabetes patients.

Keywords: diet management; Indian food recipes; diabetes mellitus; linear programming problem (LPP); goal programming problems (GP) (search for similar items in EconPapers)
JEL-codes: I I1 I3 Q Q5 (search for similar items in EconPapers)
Date: 2021
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