Analysis of reduction of carbon emission and dynamic service policies in a green manufacturing system under isoperimetric fixed servicing budget constraint

Abstract

In the recent highly saturated, fluctuated as well as competitive marketing situation, economic growth, stability and survival of a manufacturing company are substantial factors for the competent authority of a manufacturing firm. Again, due to the harmful effects of different chemicals and preservative oriented products, consumers gradually show their sensible interest towards the green products and their benefits. Furthermore, emission reduction and carbon emission tax become major issues on the sustainable growth and reputation of a manufacturing company. Fundamentally, considering these factors, this study demonstrates the prior decisions regarding best-found policy of a manufacturing company considering the effects of service with sold eco-friendly (green) products under the effects of emission taxation and reduction policies. The demand effected by level of greenness, price and dynamic service provided to the consumers. Now, due to the budget constraint, manufacturer estimates a fixed budget due to service to the consumers along with the items sold. Again, based on the carbon emission reduction policy, two distinct cases are arisen which are analyzed separately. Due to the budget constraint, maximization problem associated to the model becomes an isoperimetric control problem. Then to illustrate the realistic feasibility the proposed model, a physical example is taken under consideration and it is solved using Teaching–learning-based optimization algorithm (TLBOA) considering each of the cases. Finally, the sensitivity analyses are performed to get some important implications for the manager of the proposed manufacturing system.