Title: An EPQ model in the perspective of carbon emission reduction

Authors: Sudipta Sinha; Nikunja Mohan Modak

Addresses: Department of Mathematics, Burdwan Raj College, University of Burdwan, Pin-713104, West Bengal, India ' Palpara Vidyamandir, Chakdaha, Nadia, Pin-741222, West Bengal, India

Abstract: One of the major reasons behind the abnormal increase of Earth's temperature is the uncontrollable emission of CO₂ of production houses. Industrialists are very much interested to enhance their profit only instead of greater interest of the society. The paper develops an economic production quantity (EPQ) model reckoning the aspects of carbon emission and carbon trading. A production house has to pay compulsory tax for carbon emission and incurs a penalty cost for the emission of excess carbon dioxide than its permissible limit. The producer is able to earn revenue by the way of carbon trading by controlling carbon emission within the permissible limit. Plantation of trees can effectively mitigate emission. Numerical examples are given to illustrate the validity of the proposed model and comparison of result between with and without plantation is provided. Comprehensive sensitivity analysis of various parameters has also been carried out.

Keywords: economic production quantity; EPQ; carbon emission; carbon trading; cap and trade; penalty tax; plantation.

DOI: 10.1504/IJMOR.2019.099382

International Journal of Mathematics in Operational Research, 2019 Vol.14 No.3, pp.338 - 358

Received: 21 Jun 2017
Accepted: 19 Sep 2017
Published online: 01 May 2019 *

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