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Modeling of Environmental Pollution Due to the Fashion Industry Using the Fractional Programming
1 , * 2
1  Research Scholar at Guru Gobind Singh Indraprastha University
2  Fellow of Institute of Mathematics & Applications (UK), Professor of Mathematics, Head, Non-Linear Dynamics Research Lab, University School of Basic and Applied Sciences (USBAS), Guru Gobind Singh Indraprastha University (GGSIPU), Dwarka, Delhi, India
Academic Editor: Anthony Lupo


The fashion industry is one of the world's largest and third most polluted industry. It produces a carbon footprint of around 10% annually which is much higher than the footprint produced by flights and shipping. Nowadays, there is an increase in demand for different and new products for all ages of people due to which fast-changing fashion become a trend. But there is a hidden cost in the manufacturing of each material which is ignored by the people and which costs the environment and eventually the health of the people. It not only pollutes the air due to the emission of greenhouse gases but also consumes plenty of water along with the increase in plastic and some other wastes which pollute our environment. The solution to the problem is to avoid and move away from this fast fashion trend and subsequently by buying a few clothes that are good in quality and which do not pose a threat to the environment. But this will lower the sale as well as the revenue of the fashion industry which eventually affect our economy. The purpose of this study is to construct a fractional mathematical programming model which caters to both the objectives i.e., minimizing environmental pollution and maximizing revenue of the fashion industry with respect to the constraints based on the industry and environment side. A case study on the Indian Fashion Industry is done to illustrate the proposed model and the results indicated that the model is a good fit for catering to both the objectives and for controlling the pollution in the fashion industry.

Keywords: Pollution; Fashion Industry; Environment; Green House Gases; Fractional Programming Model