This paper investigates an imperfect production–reproduction inventory model for two types of quality items (item-I and item-II) produced in two different plants (plant-I and plant-II) in the same premises under a single management system over a known-finite time horizon with consideration of environment pollution control through industrial waste management. Both the production plant-I and plant-II produce a mixture of perfect and defective units. Some of the defective units are reworkable, and non-reworkable defective units are continuously transferred to the raw material processing unit. Used units are collected from the customers and deposited in the raw material processing unit as raw materials for plant-II. Treatment of industrial waste from both the plants and raw material processing unit is considered to protect the environment from water pollution and Green House Gas (GHG) emission as industrial waste has become a serious environmental issue. Two conflicting objectives are integrally considered of which one is the maximisation of the total profit out of two plants and other is the minimisation of GHG emission from industrial waste over the finite time horizon.
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Manna et al. (2018) studied this question.
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