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Two-plant production model with customers’ demand dependent on warranty period of the product and carbon emission level of the manufacturer via different meta-heuristic algorithms

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Abstract

In the developed countries, most of the customers are aware about the harmful effects of purchased products that pollute the environment. On the other hand, the aim of the manufacturer is to reduce by controlling the pollution rates. Motivating from this situation, a two-plant production model in single manufacturing system with warranty period of the product and carbon emission level dependent demand is developed. The manufacturer inspects every produced item in both plants before sending it to the market. After inspection, a part of imperfect items is reworked to reproduce these items into perfect items and also to reduce the loss of the manufacturer. The objective of the model is to determine the optimal values of the product’s warranty period and the production period in each plant in order to maximize the average profit of the manufacturer subject to some constraints. To illustrate and validate the model, two numerical examples are considered and solved by four meta-heuristic algorithms. Finally, to examine the effects of some significant model parameters on the optimal policy, sensitivity analyses are performed.

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Acknowledgment

The authors express their sincere thanks to the editor and the anonymous reviewers for their valuable comments and suggestions which have led to a significant improvement of the manuscript. The first author would like to thank University Grants Commission providing the Dr. D. S. Kothari Post Doctoral Fellowship (DSKPDF) through University of Burdwan for accomplish this research (Vide Research Grant No.F.4-2/2006 (BSR)/MA/18-19/0023). Also the fifth author would like to acknowledge the financial support provided by WBDST\& BT, West Bengal, India for this research (Memo No: 429 (Sanc.)/ST/P/S\& T/16G-23/2018 dated 12/03/2019).

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Authors and Affiliations

  1. Department of Mathematics, The University of Burdwan, Burdwan, 713104, India

    Amalesh Kumar Manna, Tanmoy Benerjee, Ali Akbar Shaikh & Asoke Kumar Bhunia

  2. Department of Applied Science, Maulana Abul Kalam Azad University of Technology, Haringhata, W.B, 741249, India

    Sankar Prasad Mondal

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  1. Amalesh Kumar Manna
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  2. Tanmoy Benerjee
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  4. Ali Akbar Shaikh
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  5. Asoke Kumar Bhunia
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Correspondence to Ali Akbar Shaikh.

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Manna, A.K., Benerjee, T., Mondal, S.P. et al. Two-plant production model with customers’ demand dependent on warranty period of the product and carbon emission level of the manufacturer via different meta-heuristic algorithms. Neural Comput & Applic 33, 14263–14281 (2021). https://doi.org/10.1007/s00521-021-06073-9

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