Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts

Due to the unexpected breakdowns that can happen in various components of a production system, failure to reach production targets and interruptions in the process of production are not surprising. Since this issue remains for manufactured products, this halting results in the loss of profitability...

Full description

Bibliographic Details
Main Authors: Komeyl Baghizadeh, Nafiseh Ebadi, Dominik Zimon, Luay Jum’a
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/1/42
_version_ 1797625360993484800
author Komeyl Baghizadeh
Nafiseh Ebadi
Dominik Zimon
Luay Jum’a
author_facet Komeyl Baghizadeh
Nafiseh Ebadi
Dominik Zimon
Luay Jum’a
author_sort Komeyl Baghizadeh
collection DOAJ
description Due to the unexpected breakdowns that can happen in various components of a production system, failure to reach production targets and interruptions in the process of production are not surprising. Since this issue remains for manufactured products, this halting results in the loss of profitability or demand. In this study, to address a number of challenges associated with the management of crucial spare parts inventory, a mathematical model is suggested for the determination of the optimal quantity of orders, in the case of an unpredicted supplier failure. Hence, a production system that has various types of equipment with crucial components is assumed, in which the crucial components are substituted with spare parts in the event of a breakdown. This study’s inventory model was developed for crucial spare parts based on the Markov chain process model for the case of supplier disruption. Moreover, for optimum ordering policies, re-ordering points, and cost values of the system, four metaheuristic algorithms were utilized that include Grey Wolf Optimizer (GWO), Genetic Algorithm (GA), Moth–Flame Optimization (MFO) Algorithm, and Differential Evolution (DE) Algorithm. Based on the results, reliable suppliers cannot meet all of the demands; therefore, we should sometimes count on unreliable suppliers to reduce unmet demand.
first_indexed 2024-03-11T09:55:28Z
format Article
id doaj.art-e2179b98dd474f98affbd9f8f7648039
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-11T09:55:28Z
publishDate 2022-12-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-e2179b98dd474f98affbd9f8f76480392023-11-16T15:52:37ZengMDPI AGMathematics2227-73902022-12-011114210.3390/math11010042Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare PartsKomeyl Baghizadeh0Nafiseh Ebadi1Dominik Zimon2Luay Jum’a3Innovation and Technology Institute, University of Southern Denmark, 5230 Odense, DenmarkDepartment of Industrial Engineering, Iran University of Science and Technology, Tehran 46899, IranDepartment of Management Systems and Logistics, Rzeszow University of Technology, 35-959 Rzeszow, PolandDepartment of Logistic Sciences, School of Management and Logistic Sciences, German Jordanian University, Amman 11180, JordanDue to the unexpected breakdowns that can happen in various components of a production system, failure to reach production targets and interruptions in the process of production are not surprising. Since this issue remains for manufactured products, this halting results in the loss of profitability or demand. In this study, to address a number of challenges associated with the management of crucial spare parts inventory, a mathematical model is suggested for the determination of the optimal quantity of orders, in the case of an unpredicted supplier failure. Hence, a production system that has various types of equipment with crucial components is assumed, in which the crucial components are substituted with spare parts in the event of a breakdown. This study’s inventory model was developed for crucial spare parts based on the Markov chain process model for the case of supplier disruption. Moreover, for optimum ordering policies, re-ordering points, and cost values of the system, four metaheuristic algorithms were utilized that include Grey Wolf Optimizer (GWO), Genetic Algorithm (GA), Moth–Flame Optimization (MFO) Algorithm, and Differential Evolution (DE) Algorithm. Based on the results, reliable suppliers cannot meet all of the demands; therefore, we should sometimes count on unreliable suppliers to reduce unmet demand.https://www.mdpi.com/2227-7390/11/1/42inventory policymathematical modelingdecision makingMarkov chain
spellingShingle Komeyl Baghizadeh
Nafiseh Ebadi
Dominik Zimon
Luay Jum’a
Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
Mathematics
inventory policy
mathematical modeling
decision making
Markov chain
title Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
title_full Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
title_fullStr Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
title_full_unstemmed Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
title_short Using Four Metaheuristic Algorithms to Reduce Supplier Disruption Risk in a Mathematical Inventory Model for Supplying Spare Parts
title_sort using four metaheuristic algorithms to reduce supplier disruption risk in a mathematical inventory model for supplying spare parts
topic inventory policy
mathematical modeling
decision making
Markov chain
url https://www.mdpi.com/2227-7390/11/1/42
work_keys_str_mv AT komeylbaghizadeh usingfourmetaheuristicalgorithmstoreducesupplierdisruptionriskinamathematicalinventorymodelforsupplyingspareparts
AT nafisehebadi usingfourmetaheuristicalgorithmstoreducesupplierdisruptionriskinamathematicalinventorymodelforsupplyingspareparts
AT dominikzimon usingfourmetaheuristicalgorithmstoreducesupplierdisruptionriskinamathematicalinventorymodelforsupplyingspareparts
AT luayjuma usingfourmetaheuristicalgorithmstoreducesupplierdisruptionriskinamathematicalinventorymodelforsupplyingspareparts