Issue |
RAIRO-Oper. Res.
Volume 55, 2021
Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
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Page(s) | S3 - S19 | |
DOI | https://doi.org/10.1051/ro/2019042 | |
Published online | 09 February 2021 |
Production inventory model for controllable deterioration rate with shortages
1
Universidad de Monterrey, Av. Ignacio Morones Prieto 4500 Pte., 66238 San Pedro Garza García, Nuevo León, Mexico.
2
Faculty of Science & Technology, ICFAI University, Tripura, Kamalghat, Sadar, West Tripura, Tripura 799210, India.
3
The Logistics Institute-Asia Pacific, National University of Singapore, 21 Heng Mui Keng Terrace, #04-01, 119613, Singapore.
4
Department of Industrial and Systems Engineering, School of Engineering and Sciences, Tecnológico de Monterrey, E. Garza Sada 2501 Sur, Monterrey, 64849 Nuevo León, Mexico.
* Corresponding author: lecarden@itesm.mx; lecarden@hotmail.com
Received:
12
September
2017
Accepted:
20
April
2019
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.
Mathematics Subject Classification: 90B05
Key words: EPQ / preservation technology / shortages / controllable deterioration rate / three-level production rates
© EDP Sciences, ROADEF, SMAI 2021
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