Assembly of customized food pantries in a food bank by fuzzy optimization

Abstract

Abstract: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. Keywords: humanitarian logistics, diet and food packing problems, fuzzy mixed-integer linear programming, perishable and nonperishable food, food bank

Food bank operations: review of operation research methods and challenges during COVID-19

“…Table 3 illustrates a detailed paper-by-paper analysis of applied OR methods as well as objectives and the sources of uncertainty of each study. In our analysis, we found that there are four OR methods used in food bank operation research: LP [ 58 , 75 , 77 , 78 ], IP [ 1 , 10 , 16 , 28 , 29 , 37 , 38 , 66 , 67 , 79 , 82 , 83 , 86 , 89 , 90 ], DP [ 3 , 7 , 31 ], and DEA [ 39 ]. In the remainder of this section, we provide more detail assessment in OR methods.…”

“…The objective of [ 90 ]’s research was to estimate how many gleaning trips would be required to solve the problem facing the Southern Tier Food Bank in New York City. Ortuno and Padilla [ 79 ] tried to maximize the quantity of energy content amount of food in the food banks. Lee et al.…”

Platform-based product development in the process industry: a systematic literature review

“…While focus is stated to be on demonstrating the development of a family of products, the study seems to be mostly concerned with design optimisation from a chemical engineering perspective. Ortuño and Padilla (2017) likewise focus on design optimisation. However, whereas the above-described studies focus on optimisation of a single product, Ortuño and Padilla (2017) seeks to optimise multiple customised products against specific consumer preferences.…”

“…Ortuño and Padilla (2017) likewise focus on design optimisation. However, whereas the above-described studies focus on optimisation of a single product, Ortuño and Padilla (2017) seeks to optimise multiple customised products against specific consumer preferences. This is achieved through the development of an optimisation model based on a combination of fuzzy logic and mixed integer linear programming (Ortuño and Padilla 2017).…”

“…;Tseng and Prathera 2012; Pang et al 2019), pharmaceuticals(Bedford et al 1996;Ajikumar et al 2010;De Almeida and De Moraes 2015;Hwang et al 2020), glass wares(Chen and Wang 2000) or food(Ortuño and Padilla 2017). Studies focusing on more productive product innovation likewise ap-17 proach the subject in different ways.…”