Volume 56, Number 6, November-December 2022
|4327 - 4346
|21 December 2022
A single-stage cleaner production system with waste management, reworking, preservation technology, and partial backlogging under inflation
Department of Mathematics, Vardhaman College, Bijnor, Uttar Pradesh, India
2 Department of Mathematics, DN College, Bijnor, Uttar Pradesh, India
* Corresponding author: email@example.com
Accepted: 13 November 2022
Waste management and reworking are very crucial issues in the cleaner production system. The adaptation of preservation mechanism in inventory control is also a key aspect from an economic and environmental point of view. In the current study, an inventory model for a cleaner production system is modelled considering all these practical issues and inflation. Deterioration process takes place in the production system. In the model, market demand is viewed sales team efforts and selling price dependent. Here, rate of production along with the unit production cost are taken as variables. An investment in preservation technology is made with the goal to lower the percentage of defective products. Further, partial backordering is considered. In order to demonstrate the model, numerical example is provided. A Hessian matrix is used to establish the concavity of the objective function. A theoretical result is provided to obtain the concavity of the objective function. Sensitivity analysis along with managerial implications is also provided in the manuscript. Results indicate that by implementing high-efficiency preservation technology, the detrimental effects of deterioration on profit can be mitigated. Due to this, 1.6% rise in profit is observed. Thus, selection of right preservation technology is crucial for both financial and environmental sustainability. In addition to this, higher reworking rates and capital investment in quality improvement result in high profit for the system.
Mathematics Subject Classification: 90B05 / 90B06
Key words: Cleaner production system / reworking / partial backlogging / selling price-and-sales dependent demand / preservation technology
© The authors. Published by EDP Sciences, ROADEF, SMAI 2022
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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