Analyzing an imperfect production inventory model for green products considering learning effect on screening process under advertisement dependent credit period

Abstract

<p style='text-indent:20px;'>In this research work, we have developed an imperfect production inventory model under the screening process in the manufacturing system to meet the demand of quality items for the customer. Here, the novelty lies in the screening rate depending on the number of cycles and the learning effect of the workers. The motivation behind such consideration is to increase the screening rate in each subsequent cycle on account of the learning of the workers. The virtue of government policy is to keep the environment free from pollution, nowadays the production of green products is very essential although this can lead to higher production costs for the manufacturer. As a result, customers also have to pay higher purchasing costs. So, to motivate the customers extensively to buy a green product, awareness about such product is very essential. In this regard, the manufacturer adopts an innovative advertising policy, which is another novelty of this research work. Ultimately, the demand function depends on the green degree, advertisement frequency and the retailer's selling price. It is also noted that in the present competitive business market the manufacturer offers an incentive to their retailers to carry on their business smoothly. In this regard, a credit period policy of logistic nature has been taken. Finally, an integrated profit function has been developed and its feasibility has been justified taking a numerical example. The result indicates that not only an appropriate advertisement frequency but also a suitable level of the green degree of the product is more important for maintaining the integrated profit of the system and individual profit of the retailer and the manufacturer also. We have analyzed the impacts of the retailer's advertisement frequency on the optimal credit period and the retailer's profit. We have also analyzed how the learning rate of the workers affects the screening cost and the manufacturer's profit.</p>