A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology

Inventory management plays a critical role in balancing supply availability with customer requirements and significantly contributes to the performance of the whole supply chain. It involves many different features, such as controlling and managing purchases from suppliers to consumers, keeping safe...

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Main Authors: Chia-Nan Wang, Thanh-Tuan Dang, Ngoc-Ai-Thy Nguyen
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1210
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spelling doaj-feebd8affbe94c2aa0aae8fde5882b1b2020-11-25T02:56:02ZengMDPI AGMathematics2227-73902020-07-0181210121010.3390/math8081210A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface MethodologyChia-Nan Wang0Thanh-Tuan Dang1Ngoc-Ai-Thy Nguyen2Department of Industrial Engineering and Management, National Kaohsiung University of Science and Technology, Kaohsiung 80778, TaiwanDepartment of Industrial Engineering and Management, National Kaohsiung University of Science and Technology, Kaohsiung 80778, TaiwanSchool of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat University, Pathum Thani 12121, ThailandInventory management plays a critical role in balancing supply availability with customer requirements and significantly contributes to the performance of the whole supply chain. It involves many different features, such as controlling and managing purchases from suppliers to consumers, keeping safety stock, examining the amount of product for sale, and order fulfillment. This paper involves the development of computational modeling for the inventory control problem in Thailand. The problem focuses on determining levels of factors, which are order quantity, reorder point, target stock, and inventory review policy, using a heuristic approach. The objective is to determine the best levels of factors that are significantly affected by their responses to optimize them using the response surface methodology. Values of the quantity of backlog and the average inventory amount, as well as their corresponding total costs, are simulated using the Arena software to gain statistical power. Then, the Minitab-response surface methodology is used to find the feasible solutions of the responses, which consist of test power and sample size, full factorial design, and Box–Behnken design. For a numerical example, the computational model is tested with real data to show the efficacy of the model. The result suggests that the effects from the reorder point, target stock, and inventory review policy are significant to the minimum total cost if their levels are set appropriately. The managerial implications of this model’s results not only suggest the best levels of factors for a case study of the leading air compressor manufacturers in Thailand, but also provide a guideline for decision-makers to satisfy customer demand at the minimum possible total inventory cost. Therefore, this paper can be a useful reference for warehouse supervisors, managers, and policymakers to determine the best levels of factors to improve warehouse performance.https://www.mdpi.com/2227-7390/8/8/1210inventorydesign of experimentresponse surface methodologyfull factorial designBox–Behnken designlevels of factors
collection DOAJ
language English
format Article
sources DOAJ
author Chia-Nan Wang
Thanh-Tuan Dang
Ngoc-Ai-Thy Nguyen
spellingShingle Chia-Nan Wang
Thanh-Tuan Dang
Ngoc-Ai-Thy Nguyen
A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
Mathematics
inventory
design of experiment
response surface methodology
full factorial design
Box–Behnken design
levels of factors
author_facet Chia-Nan Wang
Thanh-Tuan Dang
Ngoc-Ai-Thy Nguyen
author_sort Chia-Nan Wang
title A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
title_short A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
title_full A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
title_fullStr A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
title_full_unstemmed A Computational Model for Determining Levels of Factors in Inventory Management Using Response Surface Methodology
title_sort computational model for determining levels of factors in inventory management using response surface methodology
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2020-07-01
description Inventory management plays a critical role in balancing supply availability with customer requirements and significantly contributes to the performance of the whole supply chain. It involves many different features, such as controlling and managing purchases from suppliers to consumers, keeping safety stock, examining the amount of product for sale, and order fulfillment. This paper involves the development of computational modeling for the inventory control problem in Thailand. The problem focuses on determining levels of factors, which are order quantity, reorder point, target stock, and inventory review policy, using a heuristic approach. The objective is to determine the best levels of factors that are significantly affected by their responses to optimize them using the response surface methodology. Values of the quantity of backlog and the average inventory amount, as well as their corresponding total costs, are simulated using the Arena software to gain statistical power. Then, the Minitab-response surface methodology is used to find the feasible solutions of the responses, which consist of test power and sample size, full factorial design, and Box–Behnken design. For a numerical example, the computational model is tested with real data to show the efficacy of the model. The result suggests that the effects from the reorder point, target stock, and inventory review policy are significant to the minimum total cost if their levels are set appropriately. The managerial implications of this model’s results not only suggest the best levels of factors for a case study of the leading air compressor manufacturers in Thailand, but also provide a guideline for decision-makers to satisfy customer demand at the minimum possible total inventory cost. Therefore, this paper can be a useful reference for warehouse supervisors, managers, and policymakers to determine the best levels of factors to improve warehouse performance.
topic inventory
design of experiment
response surface methodology
full factorial design
Box–Behnken design
levels of factors
url https://www.mdpi.com/2227-7390/8/8/1210
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