A mathematical model on eco-friendly manufacturing system under probabilistic demand

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 manu...

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Published inR.A.I.R.O. Recherche opérationnelle Vol. 53; no. 5; pp. 1899 - 1913
Main Authors Bhattacharyya, Moumita, Sana, Shib Sankar
Format Journal Article
LanguageEnglish
Published Paris EDP Sciences 01.11.2019
Subjects
90B05
Clean technology
Demand
Green technology
Greenhouse effect
greenhouse gas
Greenhouse gases
inventory
Inventory management
Manufacturing
Mathematical analysis
Mathematical models
Normal distribution
production lotsize
Random variables
service level
Statistical analysis
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Summary: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.
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ISSN:0399-0559
1290-3868
DOI:10.1051/ro/2018120