International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Effect of Carbon Emission and Human Errors on a Two-Echelon Supply Chain under Permissible Delay in Payments

Manavi Gilotra
Department of Mathematics & Statistics, Banasthali Vidyapith, Banasthali, 304022, India.

Sarla Pareek
Department of Mathematics & Statistics, Banasthali Vidyapith, Banasthali, 304022, India.

Mandeep Mittal
Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Uttar Pradesh, Noida-201313, India.

Vinti Dhaka
Department of Mathematics, Faculty of Physical Sciences, SGT University, Gurugram, 122006 India.

DOI https://doi.org/10.33889/IJMEMS.2020.5.2.018

Received on May 15, 2019
  ;
Accepted on October 08, 2019

Abstract

Environmental worries in production and inventory models have received large attention in inventory management literature. In this paper, an economic production model is proposed with two-echelon supply chain when trade credit is offered by the supplier. This paper proposes human errors of Type I and Type II due to fatigue and inexperience of the inspector during screening. It considers the use of energy for production along with greenhouse gases (GHG) emission from production and transportation operations. The developed model optimizes the environmental and economic performances of the supply chain. Our aim is to explore the effects of human errors during inspection on the emission cost, transportation cost and delay in payment on the replenishment of order sizes and the expected total profit of the retailer. A mathematical model is developed and numerical examples are provided to illustrate the solution procedure.

Keywords- Supply chain, Trade credit, Emission cost, Fuel cost, Human errors.

Citation

Gilotra, M., Pareek, S., Mittal, M., & Dhaka, V. (2020). Effect of Carbon Emission and Human Errors on a Two-Echelon Supply Chain under Permissible Delay in Payments. International Journal of Mathematical, Engineering and Management Sciences, 5(2), 225-236. https://doi.org/10.33889/IJMEMS.2020.5.2.018.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.

Acknowledgements

The authors would like to thank the reviewers for their positive and helpful comments.

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