Menu Planning with a Dynamic Goal Programming Approach

• Autorzy: Ichraf Jridi , Badreddine Jerbi , Hichem Kamoun
• Języki publikacji: EN

Abstrakty

EN

Dynamic Goal Programming (DGP) represents an extension of Goal Programming (GP). It is characterized by the importance of time factor in relation to its variables. As a complex decision making problem, Menu Planning Problem (MPP) requires the development of methodologies which are able to combine different and conflicting goals incorporating the dynamic characteristics. The article reviews some of the studies and approaches used in MPP. It deals with the Standard GP model of MPP. It provides a DGP formulation for solving the MPP. An MPP for the hemodialysis (HD) patient is an application that best exemplifies the proposed dynamic formulation.(original abstract)

Słowa kluczowe

EN

Food quality; Human nutrition; Dynamic programming

PL

Jakość żywności; Żywienie człowieka; Programowanie dynamiczne

• Czasopismo: Multiple Criteria Decision Making / University of Economics in Katowice
• Rocznik: 2018
• Tom: 13
• Strony: 74--87

Twórcy

autor

Ichraf Jridi

• University of Sfax, Tunisia

autor

Badreddine Jerbi

• Qassim University, Saudi Arabia

autor

Hichem Kamoun

• University of Sfax, Tunisia

Bibliografia

• Armstrong R.D., Sinha P. (1974), Application of Quasi-integer Programming to the Solution of Menu Planning Problems with Variable Portion Size, Management Sciences, 21, 474-482.
• Balintfy J.L. (1964), Menu Planning by Computer, Communications of the ACM, 7, 255-259.
• Balintfy J.L. (1975), A Mathematical Programming System for Food Management Applications, Interfaces, 6, 13-31.
• Bassi L.J. (1976), The Diet Problem Revisited, The American Economist, 20, 35-39.
• Benson H.P., Morin T.L. (1987), A Bi-criteria Mathematical Programming Model for Nutrition Planning in Developing Nations, Management Sciences, 33, 1593-1601.
• Bhowmik B. (2010), Dynamic Programming Its Principles, Applications, Strengths and Limitations, International Journal of Engineering Science and Technology, 2(9), 4822-4826.
• Caballero R., Gomez T., Gonzalez M., Rey L., Ruiz F. (1998), Goal Programming with Dynamic Goals, Journal of Multi-criteria Decision Analysis, 7, 217-229
• Colavita C., D'Orsi R. (1990), Linear Programming and Pediatric Dietetics, British Journal of Nutrition, 64, 307-317.
• Ferguson E.L., Darmon N., Fahmida U., Fitriyanti S., Harper T.B., Premachandra I.M. (2006), Design of Optimal Food-Based Complementary Feeding Recommendations and Identification of Key "Problem Nutrients" Using Goal Programming, The Journal of Nutrition-Methodology and Mathematical Modeling, 136, 2399-2404.
• Fletcher L.R., Soden P.M., Zinober A.S.I. (1994), Linear Programming Techniques for the Construction of Palatable Human Diets, Journal of Operational Research Society, 45, 489-496.
• Foytik J. (1981), Devising and Using a Computerized Diet: An Exploratory Study, Journal of Consumer Affairs, 15, 158-169.
• Gerdessen J.C., Vries J.H.M.D. (2015), Diet Models with Linear Goal Programming: Impact of Achievement Functions, European Journal of Clinical Nutrition, 1-7.
• Hamalainen R.P., Mantysaari J. (2002), Dynamic Multi-objective Heating Optimization, European Journal of Operational Research, 142, 1-15.
• Kettani O., Aouni B., Martel J.M. (2004), The Double Role of the Weight Factor in the Goal Programming Model, Computers & Operations Research, 31, 1833-1845.
• Leung P., Wanitprapha K., Quinn L.A. (1995), A Recipe-based Diet Planning Modelling System, British Journal of Nutrition, 74, 151-162.
• McCann-Rugg M., White G.P., Endres J.M. (1983), Using Goal Programming to Improve the Calculation of Diabetic Diets, Computer and Operational Research, 10, 365-373.
• Nha V.T., Shin S., Jeong S.H. (2013), Lexicographical Dynamic Goal Programming Approach to a Robust Design Optimization within the Pharmaceutical Environment, European Journal of Operational Research, 229, 505-517.
• Pal B.B., Moitra B.N. (2003), A Goal Programming Procedure for Solving Problems with Multiple Fuzzy Goals Using Dynamic Programming, European Journal of Operational Research, 144, 480-491.
• Pasic M., Catovic A., Bijelonja E., Bathanovic A. (2012), Goal Programming Nutrition Optimization Model, Annals of DAAAM for 2012 & Proceedings of the 23rd International DAAAM Symposium, 23(1).
• Silberberg E. (1985), Nutrition and the Demand for Tastes, Journal of Political Economy, 93, 881-900.
• Sklan D., Dariel I. (1993), Diet Planning for Humans Using Mixed-integer Linear Programming', British Journal of Nutrition, 70, 27-35.
• Smith V.E. (1959), Linear Programming Models for the Determination of Palatable Human Diets, Journal of Farm Economics, 41, 272-283.
• Smith V.E. (1974), A Diet Model with Protein Quality Variable, Management Sciences, 20, 971-980.
• Trzaskalik T. (1997), Dynamic Goal Programming Models [in:] R. Caballero, F. Ruiz, R. Steuer (eds.), Advances in Multiple Objective and Goal Programming, Lecture Notes in Economics and Mathematical Systems, 455, Springer, Berlin-Heidelberg.
• Trzaskalik T. (2003), Interactive Procedures in Hierarchical Dynamic Goal Programming [in:] T. Tanino, T. Tanaka, M. Inuiguchi (eds.), Multi-objective Programming and Goal Programming: Theory and Applications, Springer-Verlag, Berlin-Heidelberg-New York, 251-256.
• Valdez-Peňa H., Martĩnez-Alfaro H. (2003), Menu Planning Using the Exchange Diet System, Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, Oct. 8-8, IEEE Xplore Press, 3044-3049.
• Westrich B.J., Altmann M.A., Potthoff S.J. (1998), Minnesota's Nutrition Coordinating Center Uses Mathematical Optimization to Estimate Food Nutrient Values, Interfaces, 28, 86-99.

Identyfikatory

DOI

10.22367/mcdm.2018.13.04