You are here

Home » Content

Assembly of Customized Food Pantries in a Food Bank by Fuzzy Optimization

Journal Name:

  • Journal of Industrial Engineering and Management

Publication Year:

  • 2017
DOI: 
doi.org/10.3926/jiem.2160

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
Purpose: The contribution of this research is to propose a new problem of linear-mixed programming model (LMPM) for the allocation-packing of multiple pantries personalized for Food Banks (FB) considering the opinion of the Decision Maker (DM) in the selection of the best solution. Design/methodology/approach: A food allocation-packing system is modeled as a mixed integer problem (MIP) and a fuzzy mixed integer linear problem (FMILP). 250 families and 100 products were considered. The solutions were found using Lingo 13® (for both deterministic and fuzzy model). To select a good solution in the fuzzy model, this research adapted an interactive method proposed in the literature. The relevance of this modification is that the opinion of a decision maker (DM) is included and considered. Findings: The results for the deterministic and fuzzy model are compared in terms of their accomplishment of the restrictions (mainly nutritional and logistic) and the time needed to achieve a solution. Research limitations/implications: This paper was done considering quantity, weight and volume restrictions so that the pantry will contain a variety of products; it is not considered how the products will be stored into the pantry.Practical implications: This research proposes an alternative food management system at a food bank. The proposed system organizes the content of customized food pantries by the bias of a food allocation model. Social implications: Our paper analyzes a Food Bank (FB) in México. With this proposal, food will be distributed to families in poverty considering their particular nutritional needs. Originality/value: The main contribution of this article lies in the proposal of a new model of mixed integer linear problem (MILP) for the allocation-packing of food, solved with fuzzy possibilistic programming that simultaneously considers nutritional and logistic restrictions applied to a type of organization that has been little studied in the literature and where the opinion of Decision Maker (DM) is very important in the operational decisions involved in the Food Supply Chain (FSC) of a Food Bank (FB).
Bookmark/Search this post with
FULL TEXT (PDF): 
PDF icon arastirmax-assembly-customized-food-pantries-food-bank-fuzzy-optimization.pdf
  • 4
663
683
  • English

REFERENCES

References: 

Ahumada O., & Villalobos R. (2009). Application of planning models in the agri-food supply chain: a
review. European Journal of Operational Research, 196, 1-20. https://doi.org/10.1016/j.ejor.2008.02.014
Baykasoğlu, A., & Göçken, T. (2008). A review and classification of fuzzy mathematical programs. Journal
of Intelligent & Fuzzy Systems, 19(3), 205-229.
Bellman R, & Zadeh L. (1970). Decision-making in a fuzzy environment. Management Science. 17(4),
141-164. https://doi.org/10.1287/mnsc.17.4.B141
Borghi, D., Guirardello, R., & Cardozo, L. (2009). Storage of fruits and vegetables in distributions centers.
Computer Aided Chemical Engineering, 27, 1737-1742. https://doi.org/10.1016/S1570-7946(09)70680-7
Brody, A.L., Bugusu, B., Han, J.H., Sand, C.K., & McHugh, T.H. (2008), Scientific status summary –
Innovative food packaging solutions. Journal of Food Science, 73, 107-116. https://doi.org/10.1111/j.1750-
3841.2008.00933.x
Cadenas, J.M., Pelta, D.A., Pelta, H.R., & Verdegay, J.L. (2004). Application of fuzzy optimization to diet
problems in Argentinean farms. European Journal of Operational Research, 158(1), 218-228.
https://doi.org/10.1016/S0377-2217(03)00356-4
Cai, X., Chen, J., Xiao, Y., & Xu, X.. (2008). Product selection, machine time allocation, and scheduling
decision for manufacturing perishable products subject to a deadline. Computer & Operations Research,
35(5), 1671-1683. https://doi.org/10.1016/j.cor.2006.09.027
Cuevas-Ortuño, J., & Gomez-Padilla, A.. (2013). An allocation-packing model of customized food parcels
to food banks: a system subject to nutritional and logistics conditions. DYNA, 88(5), 560-573.
https://doi.org/10.6036/5584
Gopakumar, B., Koli, S., Srihari, K, Sundarma, S., & Wang, S. (2008). A simulation based approach for
dock allocation in a food distribution center. Proceedings of the 2008 Winter Simulation Conference, 2750-
2755. https://doi.org/10.1109/WSC.2008.4736393Imahori, S., Karuno, Y., & Yoshimoto, Y. (2010). Dynamic programming algorithms for duplex food
packing problems. 8th IEEE International Conference. 857-862. https://doi.org/10.1109/INDIN.2010.5549629
Jimenez, M. (1996). Ranking fuzzy numbers through the comparison of its expected intervals. International
Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 4(4), 379-388.
https://doi.org/10.1142/S0218488596000226
Jimenez, M., Arenas, M., Bilbao, A., & Rodríguez, M. (2007). Linear programming with fuzzy parameters:
an interactive method resolution. European Journal of Operational Research, 177(3), 1599-1609.
https://doi.org/10.1016/j.ejor.2005.10.002
Karuno, Y., Nagamochi, H., & Wang, X. (2007). Bi-criteria food packing by dinamic programming. Journal
of the Operations Research – Society of Japan, 50(4), 376-389. https://doi.org/10.15807/jorsj.50.376
Karuno, Y., Nagamochi, H., & Wang, X. (2010). Optimization problems and algorithms in double-layered
food packing systems, Journal of Advanced Mechanical Design, Systems, and Manufacturing, 4(3), 605-615.
https://doi.org/10.1299/jamdsm.4.605
Mahalik, N.P., & Nambiar, A.N. (2010). Trends in food packaging and manufacturing systems and
technology. Trends in food science & technology, 21(3), 117-128. https://doi.org/10.1016/j.tifs.2009.12.006
Mula, J., Peidro, D., Díaz-Madroñero, M., & Vicens, E. (2010). Mathematical programming models for
supply chain production and transport planning. European Journal of Operational Research, 204(3), 377-390.
https://doi.org/10.1016/j.ejor.2009.09.008
Nguyen, H., Godbole, G., Kalkundri, K, & Lam, S. (2009). Simulation of a food warehouse for a hunger
outreach program. IIE Annual Conference, 1646-1651.
Okore-Hanson, A., Winbush, H., Davis, L., & Jian, S. (2012). Empirical modeling of demand for a local
food bank. IIE Annual Conference, 1-10.
Peidro, D., Mula, J., Jiménez, M., & Botella, M. (2010). A fuzzy linear programming based approach for
tactical supply chain planning in an uncertainty environment. European Journal of Operational Research,
205(1), 65-80. https://doi.org/10.1016/j.ejor.2009.11.031
Rahman, R., Ang, C., & Ramli, R. (2010). Investigating Feed Mix Problem Approaches: An Overview and
Potential Solution. World Academy of Science, Engineering and Technology, International Science
Index 46. International Journal of Biological, Biomolecular, Agricultural, Food and Biotechnological Engineering,
4(10), 750-758. https://waset.org/Publication/investigating-feed-mix-problem-approaches-...
10320Rommelfanger, H. (1996). Fuzzy linear programming and applications. European Journal of Operational
Research, 92(3), 512-527. https://doi.org/10.1016/0377-2217(95)00008-9
Rong, A., Akkerman, R., & Grunow, M. (2011). An optimization approach for managing fresh food
quality throughout the supply chain. International Journal of Production Economics, 131(1), 421-429.
https://doi.org/10.1016/j.ijpe.2009.11.026
Sahinidis, N. (2004). Optimization under uncertainty: state-of-the-art and opportunities. Computers and
Chemical Engineering, 28(6-7), 971-983. https://doi.org/10.1016/j.compchemeng.2003.09.017
Salookolayi, D., Yansari, A., & Nasseri, S. (2010). Application of fuzzy optimization in diet formulation.
The Journal of Mathematics and Computer Science. 2(3), 459-468.
Sengul, I., Ivy, J., Uzsoy, R., & Wilson, J. (2016). Modeling for the equitable and effective distribution of
donated food under capacity constraints. IIE Transactions, 48(3).
https://doi.org/10.1080/0740817X.2015.1063792
United States Department of Agriculture [online]. Available at:
http://www.choosemyplate.gov/foodgroups/index.html (Accessed: October 2011).
United States Department of Agriculture [online]. Available at:
http://www.choosemyplate.gov/myplate/index.aspx (Accessed: October 2011).
Vergara, E., Rodríguez, F., & Saavedra, H. (2006). Métodos de optimización lineal difusa para la
planificación nutricional en granjas avícolas. Mosaico Cient, 3(2), 16-28.
Wong, B.K., & Lai, V.S. (2011). A survey of the application of fuzzy set theory in production and
operations management: 1998–2009. International Journal of Production Economics, 129(1), 157-168.
https://doi.org/10.1016/j.ijpe.2010.09.013
Zimmermann, H.J. (2001). Fuzzy set theory and its application (2nd. Ed.). Boston: Kluwer Academic
Publishers. https://doi.org/10.1007/978-94-010-0646-0

Thank you for copying data from http://www.arastirmax.com