Application of artificial bee colony algorithm on a green production inventory problem with preservation for deteriorating items in neutrosophic fuzzy environment

Due to fluctuation of the market and several other reasons, most of the parameters related to the production inventory system, like, deterioration rate, demand rate and different costs are not always constants. These parameters involve some sorts of impreciseness which may be represented by stochastic, fuzzy, fuzzy-stochastic, interval, intuitionistic fuzzy, neutrosophic fuzzy, etc. approaches. In this work, a green production model is formulated for deteriorating items in neutrosophic uncertain environment. In this proposed model, customers’ demand rates are influenced by their green level and the selling price of the manufacturing goods. Here, it is also considered that the deterioration rate is dependent on preservation investment whereas the production cost is dependent on the product’s green level. We have designed, analyzed, and solved the proposed model in crisp, neutrosophic and crispified forms. To illustrate this model numerically, two examples are constructed and solved by an artificial bee colony algorithm. Finally, sensitivity analyses are conducted graphically with respect to some of the system parameters involved in the crispified model.