Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach

Determining success factors for managing supply chains is a relevant aspect for companies. Then, modeling the relationship between inventory cost savings and supply chain success factors is a route for stating such a determination. This is particularly important in pharmacies and food nutrition serv...

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Main Authors: Fernando Rojas, Peter Wanke, Víctor Leiva, Mauricio Huerta, Carlos Martin-Barreiro
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/16/2911
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author Fernando Rojas
Peter Wanke
Víctor Leiva
Mauricio Huerta
Carlos Martin-Barreiro
author_facet Fernando Rojas
Peter Wanke
Víctor Leiva
Mauricio Huerta
Carlos Martin-Barreiro
author_sort Fernando Rojas
collection DOAJ
description Determining success factors for managing supply chains is a relevant aspect for companies. Then, modeling the relationship between inventory cost savings and supply chain success factors is a route for stating such a determination. This is particularly important in pharmacies and food nutrition services (FNS), where the advances made on this topic are still scarce. In this article, we propose and formulate a robust compromise (RoCo) multi-criteria model based on non-linear programming and time-dependent demand. The novelty of our proposal is in defining a score that allows us to measure the mentioned success factors in a simple way, in meeting together all three elements (RoCo multi-criteria, non-linear programming, and time-dependent demand) to state a new model, and in applying it to pharmacies and FNS. This model relates inventory cost savings for pharmacy/FNS and success factors across their supply chains. Savings of inventory costs are predicted by lot sizes to be purchased and computed by comparing optimal and true inventory costs. We utilize a system that records the movements and costs of products to collect the data. Factors, such as purchasing organization, economies of scale, and synchronized supply, are assumed using the purchase system, with these factors ranked on a Likert scale. We consider multilevel relationships between savings obtained for 79 pharmacy/FNS products, and success factor scores according to these products. To deal with the endogeneity bias of the relationships proposed, internal instrumental variables are employed by utilizing generalized statistical moments. Among our main conclusions, we state that the greatest cost savings obtained from inventory models are directly associated with low-success supply chain factors. In this association, the success factors operate as endogenous variables, with respect to inventory cost savings, given the simultaneity of their relationship with cost savings when inventory decision-making.
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spelling doaj.art-0d366586447c4382a4bdbcde3931d96f2023-12-03T14:03:22ZengMDPI AGMathematics2227-73902022-08-011016291110.3390/math10162911Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria ApproachFernando Rojas0Peter Wanke1Víctor Leiva2Mauricio Huerta3Carlos Martin-Barreiro4Eating Behavior Research Center, School of Nutrition and Dietetics, Universidad de Valparaíso, Valparaíso 2360102, ChileCOPPEAD, Universidade Federal de Rio de Janeiro, Rio de Janeiro 21941-598, BrazilSchool of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2350026, ChileSchool of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2350026, ChileFaculty of Natural Sciences and Mathematics, Escuela Superior Politécnica del Litoral ESPOL, Guayaquil 090902, EcuadorDetermining success factors for managing supply chains is a relevant aspect for companies. Then, modeling the relationship between inventory cost savings and supply chain success factors is a route for stating such a determination. This is particularly important in pharmacies and food nutrition services (FNS), where the advances made on this topic are still scarce. In this article, we propose and formulate a robust compromise (RoCo) multi-criteria model based on non-linear programming and time-dependent demand. The novelty of our proposal is in defining a score that allows us to measure the mentioned success factors in a simple way, in meeting together all three elements (RoCo multi-criteria, non-linear programming, and time-dependent demand) to state a new model, and in applying it to pharmacies and FNS. This model relates inventory cost savings for pharmacy/FNS and success factors across their supply chains. Savings of inventory costs are predicted by lot sizes to be purchased and computed by comparing optimal and true inventory costs. We utilize a system that records the movements and costs of products to collect the data. Factors, such as purchasing organization, economies of scale, and synchronized supply, are assumed using the purchase system, with these factors ranked on a Likert scale. We consider multilevel relationships between savings obtained for 79 pharmacy/FNS products, and success factor scores according to these products. To deal with the endogeneity bias of the relationships proposed, internal instrumental variables are employed by utilizing generalized statistical moments. Among our main conclusions, we state that the greatest cost savings obtained from inventory models are directly associated with low-success supply chain factors. In this association, the success factors operate as endogenous variables, with respect to inventory cost savings, given the simultaneity of their relationship with cost savings when inventory decision-making.https://www.mdpi.com/2227-7390/10/16/2911food and nutrition servicesinformation systemsintelligent inventory managementinteroperabilityinventory modelsmultilevel models
spellingShingle Fernando Rojas
Peter Wanke
Víctor Leiva
Mauricio Huerta
Carlos Martin-Barreiro
Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
Mathematics
food and nutrition services
information systems
intelligent inventory management
interoperability
inventory models
multilevel models
title Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
title_full Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
title_fullStr Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
title_full_unstemmed Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
title_short Modeling Inventory Cost Savings and Supply Chain Success Factors: A Hybrid Robust Compromise Multi-Criteria Approach
title_sort modeling inventory cost savings and supply chain success factors a hybrid robust compromise multi criteria approach
topic food and nutrition services
information systems
intelligent inventory management
interoperability
inventory models
multilevel models
url https://www.mdpi.com/2227-7390/10/16/2911
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