A single-stage manufacturing model with imperfect items, inspections, rework, and planned backorders

Chang Wook Kang, Misbah Ullah, Mitali Sarkar, Muhammad Omair, Biswajit Sarkar

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Each industry prefers to sell perfect products in order to maintain its brand image. However, due to a long-run single-stage production system, the industry generally obtains obstacles. To solve this issue, a single-stage manufacturing model is formulated to make a perfect production system without defective items. For this, the industry decides to stop selling any products until whole products are ready to fulfill the order quantity. Furthermore, manufacturing managers prefer product qualification from the inspection station especially when processes are imperfect. The purpose of the proposed manufacturing model considers that the customer demands are not fulfilled during the production phase due to imperfection in the process, however customers are satisfied either at the end of the inspection process or after reworking the imperfect products. Rework operation, inspection process, and planned backordering are incorporated in the proposed model. An analytical approach is utilized to optimize the lot size and planned backorder quantities based on the minimum average cost. Numerical examples are used to illustrate and compare the proposed model with previously developed models. The proposed model is considered more beneficial in comparison with the existing models as it incorporates imperfection, rework, inspection rate, and planned backorders.

Original languageEnglish
Article number446
JournalMathematics
Volume7
Issue number5
DOIs
Publication statusPublished - 2019 May 1

Fingerprint

Rework
Backorder
Imperfect
Inspection
Manufacturing
Imperfections
Industry
Production Systems
Model
Customers
Lot Size
Average Cost
Qualification
Long-run
Optimise
Numerical Examples

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Kang, Chang Wook ; Ullah, Misbah ; Sarkar, Mitali ; Omair, Muhammad ; Sarkar, Biswajit. / A single-stage manufacturing model with imperfect items, inspections, rework, and planned backorders. In: Mathematics. 2019 ; Vol. 7, No. 5.
@article{38f1a39da0394e77bc4ecf70f7963295,
title = "A single-stage manufacturing model with imperfect items, inspections, rework, and planned backorders",
abstract = "Each industry prefers to sell perfect products in order to maintain its brand image. However, due to a long-run single-stage production system, the industry generally obtains obstacles. To solve this issue, a single-stage manufacturing model is formulated to make a perfect production system without defective items. For this, the industry decides to stop selling any products until whole products are ready to fulfill the order quantity. Furthermore, manufacturing managers prefer product qualification from the inspection station especially when processes are imperfect. The purpose of the proposed manufacturing model considers that the customer demands are not fulfilled during the production phase due to imperfection in the process, however customers are satisfied either at the end of the inspection process or after reworking the imperfect products. Rework operation, inspection process, and planned backordering are incorporated in the proposed model. An analytical approach is utilized to optimize the lot size and planned backorder quantities based on the minimum average cost. Numerical examples are used to illustrate and compare the proposed model with previously developed models. The proposed model is considered more beneficial in comparison with the existing models as it incorporates imperfection, rework, inspection rate, and planned backorders.",
author = "Kang, {Chang Wook} and Misbah Ullah and Mitali Sarkar and Muhammad Omair and Biswajit Sarkar",
year = "2019",
month = "5",
day = "1",
doi = "10.3390/math7050446",
language = "English",
volume = "7",
journal = "Mathematics",
issn = "2227-7390",
publisher = "MDPI AG",
number = "5",

}

A single-stage manufacturing model with imperfect items, inspections, rework, and planned backorders. / Kang, Chang Wook; Ullah, Misbah; Sarkar, Mitali; Omair, Muhammad; Sarkar, Biswajit.

In: Mathematics, Vol. 7, No. 5, 446, 01.05.2019.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A single-stage manufacturing model with imperfect items, inspections, rework, and planned backorders

AU - Kang, Chang Wook

AU - Ullah, Misbah

AU - Sarkar, Mitali

AU - Omair, Muhammad

AU - Sarkar, Biswajit

PY - 2019/5/1

Y1 - 2019/5/1

N2 - Each industry prefers to sell perfect products in order to maintain its brand image. However, due to a long-run single-stage production system, the industry generally obtains obstacles. To solve this issue, a single-stage manufacturing model is formulated to make a perfect production system without defective items. For this, the industry decides to stop selling any products until whole products are ready to fulfill the order quantity. Furthermore, manufacturing managers prefer product qualification from the inspection station especially when processes are imperfect. The purpose of the proposed manufacturing model considers that the customer demands are not fulfilled during the production phase due to imperfection in the process, however customers are satisfied either at the end of the inspection process or after reworking the imperfect products. Rework operation, inspection process, and planned backordering are incorporated in the proposed model. An analytical approach is utilized to optimize the lot size and planned backorder quantities based on the minimum average cost. Numerical examples are used to illustrate and compare the proposed model with previously developed models. The proposed model is considered more beneficial in comparison with the existing models as it incorporates imperfection, rework, inspection rate, and planned backorders.

AB - Each industry prefers to sell perfect products in order to maintain its brand image. However, due to a long-run single-stage production system, the industry generally obtains obstacles. To solve this issue, a single-stage manufacturing model is formulated to make a perfect production system without defective items. For this, the industry decides to stop selling any products until whole products are ready to fulfill the order quantity. Furthermore, manufacturing managers prefer product qualification from the inspection station especially when processes are imperfect. The purpose of the proposed manufacturing model considers that the customer demands are not fulfilled during the production phase due to imperfection in the process, however customers are satisfied either at the end of the inspection process or after reworking the imperfect products. Rework operation, inspection process, and planned backordering are incorporated in the proposed model. An analytical approach is utilized to optimize the lot size and planned backorder quantities based on the minimum average cost. Numerical examples are used to illustrate and compare the proposed model with previously developed models. The proposed model is considered more beneficial in comparison with the existing models as it incorporates imperfection, rework, inspection rate, and planned backorders.

UR - http://www.scopus.com/inward/record.url?scp=85066876295&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85066876295&partnerID=8YFLogxK

U2 - 10.3390/math7050446

DO - 10.3390/math7050446

M3 - Article

AN - SCOPUS:85066876295

VL - 7

JO - Mathematics

JF - Mathematics

SN - 2227-7390

IS - 5

M1 - 446

ER -