A multi-objective Shortage Follow Inventory (SFI) Model Involving Ramp-Type Demand, Time Varying Holding Cost and a Marketing Cost Under Neutrosophic Programming Approach

Abstract

In the research paper we have discussed a multi-objective shortage follow deterministic inventory model where demand is ramp type and holding cost along with deterioration is time dependent. Nowadays, due to the online marketing facilities it comes to notice in different fields that various companies run a lucrative advertisement of their products through many online platforms like amazon, flipkart, snapdeal and so on. Even pre-booking goes on before the product is launched and a date for selling is fixed. Taking back-order first is highly appropriate for the seasonal items of newly launched devices like mobiles,cars, laptops, computers, automobiles etc. For the advertisement and booking the online platform a huge cost is spent by the companies. This additional charge is ultimately added to the total cost of a particular product with required proportion.In this paper we have taken all of the cost parameters as Intuitionistic triangular fuzzy numbers due to uncertainty. The minimization of total average cost is the main purpose of this model. To minimize this proposed model, we will use different methods like Fuzzy Non-Linear Programming Problem (FNLP), Fuzzy Additive Goal Programming Problem (FAGP), Intuitionistic Fuzzy Non-Linear Programming Technique (IFNLP) and Neutrosophic Non-Linear Programming Technique (NSNLP). To illustrate this proposed model the solution procedure and numerical examples have been given and sensitivity analysis for various parameters have been demonstrated lastly.