A new menu planning model for Malaysian secondary schools using optimization approach

Humans need to eat a good and balanced nutritious diet that provides calories for energy requirements 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 anemia, 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 balanced menu manually is complicated, inefficient and time-consuming. The aim of this study is 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 were collected from various boarding schools and also from the Ministry of Education. Nutrition 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 optimization method along with Integer Programming. This model can be adopted to solve other diet planning problems such as for the military, hospitals nursing home and universities.

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

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

[3]  Lilly M. Lancaster,et al.  The Evolution of the Diet Model in Managing Food Systems , 1992 .

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

[5]  Gianluigi Gallenti THE USE OF COMPUTER FOR THE ANALYSIS OF INPUT DEMAND IN FARM MANAGEMENT: A MULTICRITERIA APPROACH TO THE DIET PROBLEM , 1997 .

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

[7]  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).

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

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

[10]  Thomas L. Morin,et al.  A bicriteria mathematical programming model for nutrition planning in developing nations , 1987 .

[11]  Saul I. Gass,et al.  Stigler's Diet Problem Revisited , 2001, Oper. Res..

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

[13]  M. Bulmer The Cost of Subsistence , 1994 .

[14]  Gregory P. White,et al.  Using goal programming to improve the calculation of diabetic diets , 1983, Comput. Oper. Res..

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

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

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