This article investigates the effects of lost sales reduction and quality improvement in an imperfect production process under imprecise environment with simultaneously optimizing reorder point, order quantity, and lead time. This study assumes that the demand during lead time follows a mixture of normal distributions and the cost components are imprecise and vague. Under these assumptions, the aim is to study the lost sales reduction and the quality improvement in an uncertainty environment. The objective function in fuzzy sense is defuzzified using Modified Graded Mean Integration Representation Method (MGMIRM). For the defuzzified objective function, theoretical results are developed to establish optimal policies. Finally, some numerical examples and sensitivity analysis are provided to examine the effects of non-stochastic uncertainty.
Keywords: Lost sales reduction, quality improvement, controllable lead time, mixtures of distributions, fuzzy costs
Soni, Hardik N 1 ; Sarkar, Biswajit 1 ; Mahapatra, Amalendu Singha 1 ; Mazumder, S.K. 1
@article{RO_2018__52_3_819_0,
author = {Soni, Hardik N and Sarkar, Biswajit and Mahapatra, Amalendu Singha and Mazumder, S.K.},
title = {Lost sales reduction and quality improvement with variable lead time and fuzzy costs in an imperfect production system},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {819--837},
year = {2018},
publisher = {EDP Sciences},
volume = {52},
number = {3},
doi = {10.1051/ro/2016075},
mrnumber = {3868447},
zbl = {1405.90019},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2016075/}
}
TY - JOUR AU - Soni, Hardik N AU - Sarkar, Biswajit AU - Mahapatra, Amalendu Singha AU - Mazumder, S.K. TI - Lost sales reduction and quality improvement with variable lead time and fuzzy costs in an imperfect production system JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2018 SP - 819 EP - 837 VL - 52 IS - 3 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/ro/2016075/ DO - 10.1051/ro/2016075 LA - en ID - RO_2018__52_3_819_0 ER -
%0 Journal Article %A Soni, Hardik N %A Sarkar, Biswajit %A Mahapatra, Amalendu Singha %A Mazumder, S.K. %T Lost sales reduction and quality improvement with variable lead time and fuzzy costs in an imperfect production system %J RAIRO - Operations Research - Recherche Opérationnelle %D 2018 %P 819-837 %V 52 %N 3 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/ro/2016075/ %R 10.1051/ro/2016075 %G en %F RO_2018__52_3_819_0
Soni, Hardik N; Sarkar, Biswajit; Mahapatra, Amalendu Singha; Mazumder, S.K. Lost sales reduction and quality improvement with variable lead time and fuzzy costs in an imperfect production system. RAIRO - Operations Research - Recherche Opérationnelle, Tome 52 (2018) no. 3, pp. 819-837. doi: 10.1051/ro/2016075
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