Developing trust among players in a vendor-managed inventory model for random demand under environmental impact

Sharmila Saren; Rekha Guchhait; Ali AlArjani; Biswajit Sarkar; Sharmila Saren; Rekha Guchhait; Ali AlArjani; Biswajit Sarkar

doi:10.3934/mbe.2023722

Mathematical Biosciences and Engineering

2023, Volume 20, Issue 9: 16169-16193. doi: 10.3934/mbe.2023722

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Developing trust among players in a vendor-managed inventory model for random demand under environmental impact

1.
Department of Mathematics, Government General Degree College, Gopiballavpur-II, Beliaberah, Jhargram, West Bengal 721517, India
2.
Department of Industrial Engineering, Yonsei University, 50 Yonsei-ro, Sinchon-dong, Seodaemun-gu, Seoul 03722, South Korea
3.
Industrial Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
4.
Center for Transdisciplinary Research (CFTR), Saveetha Dental College, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 600077, Tamil Nadu, India

Academic Editor: Yang Kuang

Received: 04 December 2022 Revised: 29 December 2022 Accepted: 29 December 2022 Published: 09 August 2023

Retailers play a vital role in supply chain management because they deal directly with consumers. Occasionally, retailers may cover the entire system's statistics and not disclose these data to the manufacturer. Therefore, asymmetry is generated in the data throughout the system. The main motive of this research was to prevent unreliability throughout the system using a vendor-managed inventory policy. This research shows that by applying a cap and trade policy, the total carbon emitted from the production and transportation sectors can be controlled in the atmosphere. Finally, numerical and sensitivity analyses, along with pictorial representations of various parameters, are performed to examine the optimal results of this study. In addition, the retailer's lead time demand for items is assumed to be random rather than fixed and follows uniform and normal distribution functions. Under these two distribution functions, the optimal retailer lot size, service provided by the retailer to customers, and retailer reorder points are assessed. Furthermore, an evaluation of the total carbon released from an environmental viewpoint is illustrated using numerical findings. The numerical results show that this research is 50.24% more economically beneficial than the methods used in previous studies, whereas the mean value of demand follows a uniform distribution.
- supply chain management,
- vendor-managed inventory,
- reverse logistics,
- cap and trade policy,
- carbon tax,
- information asymmetry
Citation: Sharmila Saren, Rekha Guchhait, Ali AlArjani, Biswajit Sarkar. Developing trust among players in a vendor-managed inventory model for random demand under environmental impact[J]. Mathematical Biosciences and Engineering, 2023, 20(9): 16169-16193. doi: 10.3934/mbe.2023722

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Abstract

Retailers play a vital role in supply chain management because they deal directly with consumers. Occasionally, retailers may cover the entire system's statistics and not disclose these data to the manufacturer. Therefore, asymmetry is generated in the data throughout the system. The main motive of this research was to prevent unreliability throughout the system using a vendor-managed inventory policy. This research shows that by applying a cap and trade policy, the total carbon emitted from the production and transportation sectors can be controlled in the atmosphere. Finally, numerical and sensitivity analyses, along with pictorial representations of various parameters, are performed to examine the optimal results of this study. In addition, the retailer's lead time demand for items is assumed to be random rather than fixed and follows uniform and normal distribution functions. Under these two distribution functions, the optimal retailer lot size, service provided by the retailer to customers, and retailer reorder points are assessed. Furthermore, an evaluation of the total carbon released from an environmental viewpoint is illustrated using numerical findings. The numerical results show that this research is 50.24% more economically beneficial than the methods used in previous studies, whereas the mean value of demand follows a uniform distribution.

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