Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms

In supply chain management, fast and accurate decisions in supplier selection and order quantity allocation have a strong influence on the company's profitability and the total cost of finished products. In this paper, a novel and non-linear model is proposed for solving the supplier selection...

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Main Authors: Avelina Alejo-Reyes, Elias Olivares-Benitez, Abraham Mendoza, Alma Rodriguez
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2020107?viewType=HTML
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author Avelina Alejo-Reyes
Elias Olivares-Benitez
Abraham Mendoza
Alma Rodriguez
author_facet Avelina Alejo-Reyes
Elias Olivares-Benitez
Abraham Mendoza
Alma Rodriguez
author_sort Avelina Alejo-Reyes
collection DOAJ
description In supply chain management, fast and accurate decisions in supplier selection and order quantity allocation have a strong influence on the company's profitability and the total cost of finished products. In this paper, a novel and non-linear model is proposed for solving the supplier selection and order quantity allocation problem. The model is introduced for minimizing the total cost per time unit, considering ordering, purchasing, inventory, and transportation cost with freight rate discounts. Perfect rate and capacity constraints are also considered in the model. Since metaheuristic algorithms have been successfully applied in supplier selection, and due to the non-linearity of the proposed model, particle swarm optimization (PSO), genetic algorithm (GA), and differential evolution (DE), are implemented as optimizing solvers instead of analytical methods. The model is tested by solving a reference model using PSO, GA, and DE. The performance is evaluated by comparing the solution to the problem against other solutions reported in the literature. Experimental results prove the effectiveness of the proposed model, and demonstrate that metaheuristic algorithms can find lower-cost solutions in less time than analytical methods.
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spelling doaj.art-812746e77467475b8568df5804806d5f2022-12-21T22:06:03ZengAIMS PressMathematical Biosciences and Engineering1551-00182020-01-011732016203610.3934/mbe.2020107Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithmsAvelina Alejo-Reyes 0Elias Olivares-Benitez 1Abraham Mendoza2Alma Rodriguez31. Facultad de Ingenieria, Universidad Panamericana, Alvaro del Portillo 49, Zapopan 45010, Mexico1. Facultad de Ingenieria, Universidad Panamericana, Alvaro del Portillo 49, Zapopan 45010, Mexico1. Facultad de Ingenieria, Universidad Panamericana, Alvaro del Portillo 49, Zapopan 45010, Mexico2. Centro Universitario de Ciencias Exactas e Ingenieria, Universidad de Guadalajara, Blvd. Marcelino Garcia Barragan 1421, Guadalajara 44430, MexicoIn supply chain management, fast and accurate decisions in supplier selection and order quantity allocation have a strong influence on the company's profitability and the total cost of finished products. In this paper, a novel and non-linear model is proposed for solving the supplier selection and order quantity allocation problem. The model is introduced for minimizing the total cost per time unit, considering ordering, purchasing, inventory, and transportation cost with freight rate discounts. Perfect rate and capacity constraints are also considered in the model. Since metaheuristic algorithms have been successfully applied in supplier selection, and due to the non-linearity of the proposed model, particle swarm optimization (PSO), genetic algorithm (GA), and differential evolution (DE), are implemented as optimizing solvers instead of analytical methods. The model is tested by solving a reference model using PSO, GA, and DE. The performance is evaluated by comparing the solution to the problem against other solutions reported in the literature. Experimental results prove the effectiveness of the proposed model, and demonstrate that metaheuristic algorithms can find lower-cost solutions in less time than analytical methods.https://www.aimspress.com/article/doi/10.3934/mbe.2020107?viewType=HTMLmetaheuristic algorithmsparticle swarm optimizationgenetic algorithmdifferential evolutioninventory managementsupply chain managementsupplier selectionorder quantity allocation
spellingShingle Avelina Alejo-Reyes
Elias Olivares-Benitez
Abraham Mendoza
Alma Rodriguez
Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
Mathematical Biosciences and Engineering
metaheuristic algorithms
particle swarm optimization
genetic algorithm
differential evolution
inventory management
supply chain management
supplier selection
order quantity allocation
title Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
title_full Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
title_fullStr Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
title_full_unstemmed Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
title_short Inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
title_sort inventory replenishment decision model for the supplier selection problem using metaheuristic algorithms
topic metaheuristic algorithms
particle swarm optimization
genetic algorithm
differential evolution
inventory management
supply chain management
supplier selection
order quantity allocation
url https://www.aimspress.com/article/doi/10.3934/mbe.2020107?viewType=HTML
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AT eliasolivaresbenitez inventoryreplenishmentdecisionmodelforthesupplierselectionproblemusingmetaheuristicalgorithms
AT abrahammendoza inventoryreplenishmentdecisionmodelforthesupplierselectionproblemusingmetaheuristicalgorithms
AT almarodriguez inventoryreplenishmentdecisionmodelforthesupplierselectionproblemusingmetaheuristicalgorithms