Volume 53, Number 5, November-December 2019
|Page(s)||1899 - 1913|
|Published online||28 October 2019|
A mathematical model on eco-friendly manufacturing system under probabilistic demand
Department of Basic Science and Humanities, Future Institute of Engineering and Management, Sonarpur Station Road, 700150 Kolkata, India
2 Department of Pure Mathematics, University of Calcutta, 35, Ballygunge Circular Road, 700019 Kolkata, India
3 Kishore Bharati Bhagini Nivedita College, 148, Ramkrishna Sarani, Behala, 700060 Kolkata, India
Accepted: 9 December 2018
The article deals with a mathematical model of production inventory system of green products in a green manufacturing industry. The main objective of this proposed model is to formulate a profit function for service level and random variable dependent demand implementing green technology in the manufacturing industry for reduction of green house gas emission. The production lotsize is considered here as an increasing function of green technology and capital invested for setup the manufacturing system which meets the market demand. As a result, green technology, capital invested for setup and service level are decision variable which are optimized to achieve maximum profit. Finally, numerical example for normal distribution and distribution free cases are illustrated to justify the proposed model.
Mathematics Subject Classification: 90B05
Key words: Green technology / service level / greenhouse gas / production lotsize / inventory
© EDP Sciences, ROADEF, SMAI 2019
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