A diet planning model for Malaysian boarding school using zero-one integer programming

Humans need to eat a good and balanced nutritious diet that provides calories for energy requirement and nutrients for proper growth, repair and maintenance of the body tissues. Moreover, it is essential for resisting and preventing diseases and infection that may lead to problems such as anaemia, scurvy and rickets. In recent studies, medical researchers have discovered that good nutrition can help to reduce the risks of coronary heart disease and certain types of cancer. Menu and diet planners face tremendous challenges and difficulties in order to improve human health. Serving healthier meals is a major step towards achieving that objective. However, constructing and planning a nutritious and balance menu manually is complicated, inefficient and time-consuming. This study aims to develop a mathematical model for diet planning that meets the necessary nutrient intake for the secondary school student as well as minimizing a budget. The data was collected fiom various boarding schools and also fiom the Ministry of Education. Diet planning .is a well known optimization problem and the goal is to find the best possible optimal solution. Therefore the model was solved by using optimisation method along with Integer Linear Programming and "Delete-Shuffle Algorithm". This model can be adopted to solve other diet planning problem such as for the military, hospitals nursing home and universities.

[1]  L. A. Quinn,et al.  A recipe-based, diet-planning modelling system , 1995, British Journal of Nutrition.

[2]  Rozali Ahmad,et al.  Childhood obesity: contributing factors, consequences and intervention. , 2004, Malaysian journal of nutrition.

[3]  José L. Verdegay,et al.  Application of fuzzy optimization to diet problems in Argentinean farms , 2004, Eur. J. Oper. Res..

[4]  Florenciotc Ca A Human Rights Approach To Nutritional Well-being. , 2001 .

[5]  Brian J. Westrich,et al.  Minnesota's Nutrition Coordinating Center Uses Mathematical Optimization to Estimate Food Nutrient Values , 1998, Interfaces.

[6]  Z. M. Shariff,et al.  Nutritional status of primary school children from low income households in kuala lumpur. , 2000, Malaysian journal of nutrition.

[7]  A. bong,et al.  Obesity among years 1 and 6 primary school children in Selangor Darul Ehsan. , 1996, Malaysian journal of nutrition.

[8]  Horacio Martinez-Alfaro,et al.  Menu planning using the exchange diet system , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[9]  L. J. Bassi,et al.  The Diet Problem Revisited , 1976 .

[10]  Jerry Foytik Devising and Using a Computerized Diet: An Exploratory Study , 1981 .

[11]  Ronald D. Armstrong,et al.  Application of Quasi-Integer Programming to the Solution of Menu Planning Problems with Variable Portion Size , 1974 .

[12]  Joseph L. Balintfy,et al.  A Mathematical Programming System for Food Management Applications , 1975 .

[13]  N. Karim,et al.  Nutritional Status among Chinese Preschoolers in Subang Jaya, Selangor. , 2000, Malaysian journal of nutrition.

[14]  V. E. Smith Linear Programming Models for the Determination of Palatable Human Diets , 1959 .

[15]  Eugene Silberberg,et al.  Nutrition and the Demand for Tastes , 1985, Journal of Political Economy.

[16]  D. Sklan,et al.  Diet planning for humans using mixed-integer linear programming , 1993, British Journal of Nutrition.

[17]  G. Stigler The Cost of Subsistence , 1945 .

[18]  L. R. Fletcher,et al.  Linear Programming Techniques for the Construction of Palatable Human Diets , 1994 .