Most of the works in EPQ model considered that retailer’s purchasing cost of an order should be paid to the manufacturer at the time of its delivering. In the real world situations, few manufacturers may be expect to receive full or a fraction of the purchasing cost in advance and sometimes allow to prepayment into several equal instalments. Also, in classical inventory models it is assumed that no defective items are produced, but real production process may shift from in-control state to out-of-control state due to occurrence of some assignable causes, which results in the quality loss of items. To make the study more realistic, we develop an imperfect production inventory model that incorporates random carbon emissions under consecutive prepayments. Also, production processes are assumed to be imperfect, so they can produce some defective items and some portion of them are reworked in the same cycle. In addition, it is assumed that manufacturer offers an advanced payment based free transportation to the retailer. Carbon emissions are associated with the decisions of production and transportation from manufacturer to retailer. A carbon emission tax is need to pay by the manufacturer due to the environmental regulations. Numerical examples illustrate the proposed models and sensitivity analysis provides some managerial insights for managers.
Mots-clés : Inventory, stochastic, inspection, production models, management decision making
@article{RO_2020__54_4_1103_0,
author = {Manna, Amalesh Kumar and Das, Barun and Tiwari, Sunil},
title = {Impact of carbon emission on imperfect production inventory system with advance payment base free transportation},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1103--1117},
publisher = {EDP-Sciences},
volume = {54},
number = {4},
year = {2020},
doi = {10.1051/ro/2019015},
mrnumber = {4100698},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2019015/}
}
TY - JOUR AU - Manna, Amalesh Kumar AU - Das, Barun AU - Tiwari, Sunil TI - Impact of carbon emission on imperfect production inventory system with advance payment base free transportation JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1103 EP - 1117 VL - 54 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019015/ DO - 10.1051/ro/2019015 LA - en ID - RO_2020__54_4_1103_0 ER -
%0 Journal Article %A Manna, Amalesh Kumar %A Das, Barun %A Tiwari, Sunil %T Impact of carbon emission on imperfect production inventory system with advance payment base free transportation %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1103-1117 %V 54 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019015/ %R 10.1051/ro/2019015 %G en %F RO_2020__54_4_1103_0
Manna, Amalesh Kumar; Das, Barun; Tiwari, Sunil. Impact of carbon emission on imperfect production inventory system with advance payment base free transportation. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 4, pp. 1103-1117. doi : 10.1051/ro/2019015. http://www.numdam.org/articles/10.1051/ro/2019015/
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