In manufacturing systems, defective items are produced for machine drift and error. Usually, an imperfect production rate is random, and if the items are not reworked, these are considered trash and harm the environment. The proposed model aims to reduce waste by reworking defective products and maximizing profit. For profit maximization or overall cost minimization of the manufacturing system, setup cost has significant. A discrete investment for each phase is introduced with an inequality investment constraint for reducing the setup cost. Selling price-dependent demand is trained for more generalized applications for various industries. The proposed model is a multi-phase manufacturing system with optimum batch size, selling price, and investment with an irregular, imperfect production rate. Defects are detected at the first inspection, and the reworked items are checked if the reworked items are all non-defective in the second inspection. The model conducts a two-stage inspection. One is for detecting defective items, and another is for checking if all items are not defective after reworking. The model is solved with the Karush–Kuhn–Tucker (KKT) method, and the global maximum profit is obtained. The model shows that all investments should be assigned to maximize the profit and the optimal solution. Reducing setup cost with the investment is better than a constant setup cost.
Accepté le :
Première publication :
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DOI : 10.1051/ro/2022019
Keywords: Manufacturing systems, remanufacturing, makespan, investment appraisal, inspection
@article{RO_2022__56_2_871_0,
author = {Sarkar, Biswajit and Joo, Jaehyeon and Kim, Yihyun and Park, Heejun and Sarkar, Mitali},
title = {Controlling defective items in a complex multi-phase manufacturing system},
journal = {RAIRO. Operations Research},
pages = {871--889},
year = {2022},
publisher = {EDP-Sciences},
volume = {56},
number = {2},
doi = {10.1051/ro/2022019},
mrnumber = {4407587},
zbl = {1487.90043},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2022019/}
}
TY - JOUR AU - Sarkar, Biswajit AU - Joo, Jaehyeon AU - Kim, Yihyun AU - Park, Heejun AU - Sarkar, Mitali TI - Controlling defective items in a complex multi-phase manufacturing system JO - RAIRO. Operations Research PY - 2022 SP - 871 EP - 889 VL - 56 IS - 2 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2022019/ DO - 10.1051/ro/2022019 LA - en ID - RO_2022__56_2_871_0 ER -
%0 Journal Article %A Sarkar, Biswajit %A Joo, Jaehyeon %A Kim, Yihyun %A Park, Heejun %A Sarkar, Mitali %T Controlling defective items in a complex multi-phase manufacturing system %J RAIRO. Operations Research %D 2022 %P 871-889 %V 56 %N 2 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2022019/ %R 10.1051/ro/2022019 %G en %F RO_2022__56_2_871_0
Sarkar, Biswajit; Joo, Jaehyeon; Kim, Yihyun; Park, Heejun; Sarkar, Mitali. Controlling defective items in a complex multi-phase manufacturing system. RAIRO. Operations Research, Tome 56 (2022) no. 2, pp. 871-889. doi: 10.1051/ro/2022019
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