This paper deals with an economic production quantity (EPQ) inventory model for deteriorating items under preservation technology. The preservation technology is used to protect the items from deterioration. Three different production levels are considered. It is assumed that initially the production rate is at a lower rate and it increases gradually over the period. This is just in order to reduce the holding cost by avoiding the larger stock quantity at the beginning of the production cycle. The shortages are permitted and fully backordered. The objective of the production inventory model is to determine the optimal production policy which minimizes the manufacturer’s total cost. Theoretical results are established in order to demonstrate the existence of the optimal solution and a proper solution procedure is presented. A numerical example and sensitivity analysis are presented to validate the theoretical results. Also, some managerial insights are provided.
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DOI : 10.1051/ro/2019042
Keywords: EPQ, preservation technology, shortages, controllable deterioration rate, three-level production rates
@article{RO_2021__55_S1_S3_0,
author = {Mishra, Umakanta and Tijerina-Aguilera, Jacobo and Tiwari, Sunil and C\'ardenas-Barr\'on, Leopoldo Eduardo},
title = {Production inventory model for controllable deterioration rate with shortages},
journal = {RAIRO. Operations Research},
pages = {S3--S19},
year = {2021},
publisher = {EDP-Sciences},
volume = {55},
doi = {10.1051/ro/2019042},
mrnumber = {4237376},
zbl = {1469.90019},
language = {en},
url = {https://www.numdam.org/articles/10.1051/ro/2019042/}
}
TY - JOUR AU - Mishra, Umakanta AU - Tijerina-Aguilera, Jacobo AU - Tiwari, Sunil AU - Cárdenas-Barrón, Leopoldo Eduardo TI - Production inventory model for controllable deterioration rate with shortages JO - RAIRO. Operations Research PY - 2021 SP - S3 EP - S19 VL - 55 PB - EDP-Sciences UR - https://www.numdam.org/articles/10.1051/ro/2019042/ DO - 10.1051/ro/2019042 LA - en ID - RO_2021__55_S1_S3_0 ER -
%0 Journal Article %A Mishra, Umakanta %A Tijerina-Aguilera, Jacobo %A Tiwari, Sunil %A Cárdenas-Barrón, Leopoldo Eduardo %T Production inventory model for controllable deterioration rate with shortages %J RAIRO. Operations Research %D 2021 %P S3-S19 %V 55 %I EDP-Sciences %U https://www.numdam.org/articles/10.1051/ro/2019042/ %R 10.1051/ro/2019042 %G en %F RO_2021__55_S1_S3_0
Mishra, Umakanta; Tijerina-Aguilera, Jacobo; Tiwari, Sunil; Cárdenas-Barrón, Leopoldo Eduardo. Production inventory model for controllable deterioration rate with shortages. RAIRO. Operations Research, Tome 55 (2021), pp. S3-S19. doi: 10.1051/ro/2019042
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