Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry

Product availability is a key indicator of service performance and is closely linked to production planning. Inaccurate decisions in lot sizing may lead to either overstock or stockout, resulting in substantial financial losses. Classical Economic Production Quantity (EPQ) models generally assume pe...

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Main Authors: Laila Nafisah, Rika Apriyanti Magdalena Sinaga, Apriani Soepardi, Melati Salma, Irianto Irianto
Format: Article
Language:Indonesian
Published: Universitas Pembangunan Nasional "Veteran" Yogyakarta 2025-06-01
Series:OPSI
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Online Access:https://jurnal.upnyk.ac.id/index.php/opsi/article/view/14740
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author Laila Nafisah
Rika Apriyanti Magdalena Sinaga
Apriani Soepardi
Melati Salma
Irianto Irianto
author_facet Laila Nafisah
Rika Apriyanti Magdalena Sinaga
Apriani Soepardi
Melati Salma
Irianto Irianto
author_sort Laila Nafisah
collection DOAJ
description Product availability is a key indicator of service performance and is closely linked to production planning. Inaccurate decisions in lot sizing may lead to either overstock or stockout, resulting in substantial financial losses. Classical Economic Production Quantity (EPQ) models generally assume perfect quality and ignore real-world factor such as defects, rework, and backorders. This study proposes an extended EPQ model for multi-item production systems that integrates random defect rates, rework, and backordering within a single framework. Unlike previous studies that focus on single-item scenarios or deterministic defect rates, this model reflects a more realistic setting faced by companies by accounting for stochastic defects, the cost of crushing and rework, and customer backorder fulfillment. The model aims to determine the optimal lot size and production cycle that minimize the total inventory-related costs. The proposed model is validated using real case data from a plastic molding company. Results show that the model yields cost savings of 0.19% compared to the current company policy. Although modest, these savings are significant when scaled across production periods. More importantly, the model demonstrates strong adaptability to operational constraints and provides a practical decision-support tool for industries managing multiple products, quality variation, and uncertain demand.
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institution Kabale University
issn 1693-2102
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language Indonesian
publishDate 2025-06-01
publisher Universitas Pembangunan Nasional "Veteran" Yogyakarta
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spelling doaj-art-8fc0abd54a734946a8a8fc18d76246082025-08-20T04:01:02ZindUniversitas Pembangunan Nasional "Veteran" YogyakartaOPSI1693-21022686-23522025-06-0118120121210.31315/opsi.v18i1.1474011991Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industryLaila Nafisah0Rika Apriyanti Magdalena Sinaga1Apriani Soepardi2Melati Salma3Irianto Irianto4Department of Industrial Engineering, Universitas Pembangunan Nasional Veteran Yogyakarta, Babarsari 2 Tambakbayan Yogyakarta, 55281, IndonesiaPT Indo Tambangraya Megah Tbk. Pondok Indah Office Tower III, Jl.Sultan Iskandar Muda Kav.V-TA, P.O. Box 178 Bontang, Kalimantan Timur 75311, IndonesiaDepartment of Industrial Engineering, Universitas Pembangunan Nasional Veteran Yogyakarta, Babarsari 2 Tambakbayan Yogyakarta, 55281, IndonesiaDepartment of Industrial and Process Engineering, Kalimantan Institute of Technology, Jl. Soekarno Hatta No.KM 15, Karang Joang, Balikpapan, Kalimantan Timur 76127, IndonesiaDepartment General Education, Faculty of Resilience, Rabdan Academy, Abu Dhabi, United Arab EmiratesProduct availability is a key indicator of service performance and is closely linked to production planning. Inaccurate decisions in lot sizing may lead to either overstock or stockout, resulting in substantial financial losses. Classical Economic Production Quantity (EPQ) models generally assume perfect quality and ignore real-world factor such as defects, rework, and backorders. This study proposes an extended EPQ model for multi-item production systems that integrates random defect rates, rework, and backordering within a single framework. Unlike previous studies that focus on single-item scenarios or deterministic defect rates, this model reflects a more realistic setting faced by companies by accounting for stochastic defects, the cost of crushing and rework, and customer backorder fulfillment. The model aims to determine the optimal lot size and production cycle that minimize the total inventory-related costs. The proposed model is validated using real case data from a plastic molding company. Results show that the model yields cost savings of 0.19% compared to the current company policy. Although modest, these savings are significant when scaled across production periods. More importantly, the model demonstrates strong adaptability to operational constraints and provides a practical decision-support tool for industries managing multiple products, quality variation, and uncertain demand.https://jurnal.upnyk.ac.id/index.php/opsi/article/view/14740epq modeldefective itemsmulti-item inventoryreworkbackorder
spellingShingle Laila Nafisah
Rika Apriyanti Magdalena Sinaga
Apriani Soepardi
Melati Salma
Irianto Irianto
Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
OPSI
epq model
defective items
multi-item inventory
rework
backorder
title Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
title_full Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
title_fullStr Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
title_full_unstemmed Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
title_short Optimizing multi-item EPQ under defect and rework: A case in the plastic molding industry
title_sort optimizing multi item epq under defect and rework a case in the plastic molding industry
topic epq model
defective items
multi-item inventory
rework
backorder
url https://jurnal.upnyk.ac.id/index.php/opsi/article/view/14740
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