Full-text resources of CEJSH and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


2018 | 13 | 74-87

Article title

Menu Planning with a Dynamic Goal Programming Approach

Content

Title variants

Languages of publication

EN

Abstracts

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.

Year

Volume

13

Pages

74-87

Physical description

Contributors

author
  • The University of Sfax. Faculty of Economics and Management of Sfax, Tunisia
  • Qassim University. College of Business & Economics, Saudi Arabia
author
  • The University of Sfax. Faculty of Economics and Management of Sfax, Tunisia

References

  • 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.

Document Type

Publication order reference

Identifiers

ISSN
2084-1531

YADDA identifier

bwmeta1.element.cejsh-fb1bc09a-0d91-497c-ae41-91a33eaef8b2
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.