International Journal of Theoretical and Applied Mathematics
Volume 4, Issue 6, December 2018, Pages: 45-54
Received: Jan. 14, 2019;
Accepted: Feb. 7, 2019;
Published: Feb. 26, 2019
Views 659 Downloads 109
Fitra Anugrah, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Riau, Pekanbaru, Indonesia
Syamsudhuha, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Riau, Pekanbaru, Indonesia
Yosza Dasril, Center for Telecommunication Research and Innovation, Faculty of Electronic and Computer Engineering, Technical University of Malaysia Malacca, Malacca, Malaysia
Moh Danil Hendry Gamal, Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Riau, Pekanbaru, Indonesia
This paper presents the development of nutrition optimization model using preemptive goal programming to satisfy daily nutrient needs of adolescent. Objective function is designed to minimize the sum of percentage of nutrient’s deviations according to its priorities. Nutrient needs are determined according to Indonesian Recommended Dietary Allowances (AKG) incorporated as goal constraints. This paper consists of twenty sample of most frequently consumed food as decision variables with available budget for kinds of foods available in Riau Province as system constraints. The results obtained are foodstuff combinations with minimal percentage of deviations as optimal solution.
Moh Danil Hendry Gamal,
Preemptive Goal Programming for Nutrition Management Optimization, International Journal of Theoretical and Applied Mathematics.
Vol. 4, No. 6,
2018, pp. 45-54.
S. Almatsier, Basic Principles of Nutrition Sciences, Gramedia Pustaka Utama, Jakarta, 2002.
J. Stang and M. T. Story, Guidelines for Adolescent Nutrition Services, University of Minnesota, Minneapolis, 2005.
A. Charnes dan W. W. Cooper, Management Model and Industrial Application of Linear Programming, Volume 1, Wiley, New York, 1961.
S. M. Lee, Goal Programming for Decision Analysis, Auerbach, Philadelphia, 1972.
J. P. Ignizio, Introduction to Linear Goal Programming, Sage, Beverly Hills, 1985.
C. Romero, Extended lexicographic goal programming: A unifying approach, Omega, 29 (2001), 63–71.
M. Tamiz, D. Jones dan C. Romero, Goal programming for decision making: An overview of the current state-of-the-art, European Journal of Operational Research, 111 (1998), 567–581.
H. L. Li, An efficient method for solving linear goal programming problems, Journals of Optimization Theory and Applications, 90 (1996), 465–469.
C.-T. Chang, Multi-choise goal programming, The International Journal of Management Science, 35 (2004), 389–396.
C.-T. Chang, On the mixed binary goal programming problems, Applied Mathematics and Computation, 159 (2004), 759–768.
B. B. Pal, B. N. Moitra dan U. Maulik, A goal programming procedure for fuzzy multiobjective linear fractional programming problem, Fuzzy Set and Systems, 139 (2003), 395–405.
A. M. Anderson and M. D. Earle, Diet planning in the third world by linear and goal programming, Journal of Operational Research Society, 34 (1983), 9–16.
E. L. Ferguson, N. Darmon, U. Fahmida, S. Fitriyanti, T. B. Harper and I. M. Premachandra, Design of optimal food-based complementary feeding recommendations and identification of key “problem nutrients’ using goal programming, The Journal of Nutrition, 136 (2006), 2399–2404.
O. Santika, U. Fahmida and E. L. Ferguson, Development of food-based complementary feeding recomendations for 9- to 11-month-old peri-urban Indonesian infants using linear programming, The Journal of Nutrition, 139 (2009), 135–141.
O. A. Omotesho and A. Muhammad-Lawal, Optimal food plan for rural house-hold's food security in Kwara state, Nigeria: the goal programming approach, Journal of Agricultural Biotechnology and Sustainable Development, 2 (1) (2010), 007–014.
M. Pasic, A. Catovic, I. Bijelonja and A. Bathanovic, Goal programming nutrition optimization model, Annals & Proceedings of DAAAM International 2012, 23 (1) (2012).
M. Pasic, A. Catovic, I. Bijelonja and A. Bathanovic, Weighted goal programming optimization diet model, Journal of Trends in the Development of Machinery and Associated Technology, 17 (1) (2013), 101–104.
M. Pasic, A. Catovic, I. Bijelonja and S. Crnovrsanin, Linear programming local cost nutrition optimization model, Annals & Proceedings of DAAAM International 2011, 22 (1) (2011).
H. Okubo, S. Sasaki, K. Murakami, T. Yokoyama, N. Hirota, A. Notsu, M. Fukui and C. Date, Designing optimal food intake patterns to achieve nutritional goals for Japanese adults through the use of linear programming optimization models, Nutrition Journal, (2015).
A. C. Iwuji, M. Nnanna and N. I. C. Ndulue, An optimal DASH diet model for people with hypertension using linear programming approach, Open Journal of Optimization, 5 (2016), 14–21.
A. C. Iwuji and E. U. Agwu, A weighted goal grogramming model for the DASH diet problem: Comparison with the linear programming DASH diet model, American Journal of Operations Research, 7 (2017), 307–322.