A predetermined production rate in a supply chain model with economic production lot size is quite appropriate for this type of situations as production rate can be changed in some cases to fulfill demand of customers. This paper investigates an integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. As a rate of production has a direct impact on system performance, the production rate is considered as a variable along with the production cost. This production process gone through a long run system as a result after some specific time the production gone out-of-control state due to different issues and produced defective items. In addition, we consider that the defective follows three types of probability distribution function such as, (i) uniform, (ii) triangular and (iii) beta distributions. Two types of lead time crashed concept considering in this model and also we consider three types of continuous probabilistic defective function to find the associated cost of the system. The main objective is to find an optimal solution for an order quantity, safety factor, production cost, setup cost and to analyze how the flexibility of the production rate affects the process quality. An efficient iterative algorithm is designed to obtain the optimal solution of the model numerically and sensitivity analysis table formulate to show the impact of different parameter.
Mots-clés : Production rate, quality management, probabilistic defective, inspection, lead time reduction
@article{RO_2020__54_6_1723_0,
author = {Hemapriya, S. and Uthayakumar, R.},
title = {Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1723--1756},
publisher = {EDP-Sciences},
volume = {54},
number = {6},
year = {2020},
doi = {10.1051/ro/2019107},
mrnumber = {4150243},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2019107/}
}
TY - JOUR AU - Hemapriya, S. AU - Uthayakumar, R. TI - Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1723 EP - 1756 VL - 54 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019107/ DO - 10.1051/ro/2019107 LA - en ID - RO_2020__54_6_1723_0 ER -
%0 Journal Article %A Hemapriya, S. %A Uthayakumar, R. %T Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1723-1756 %V 54 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019107/ %R 10.1051/ro/2019107 %G en %F RO_2020__54_6_1723_0
Hemapriya, S.; Uthayakumar, R. Integrated production inventory model with variable production rate on quality of products involving probabilistic defective under variable setup cost. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1723-1756. doi : 10.1051/ro/2019107. http://www.numdam.org/articles/10.1051/ro/2019107/
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