A dynamic optimization approach for multi-item multi-objective fixed-place neutrosophic fuzzy inventory and green management system

  • Debasmita Sarkar Department of Mathematics, Jaypee Institute of Information Technology, Noida, India
  • Pankaj Kumar Srivastava Department of Mathematics, Jaypee Institute of Information Technology, Noida, India.


Increased resource demand needs additional space for receiving and storing products. There is also the possibility of data discrepancies leading to errors in computation. As a result, inventory management has become a major cause of worry in industrial settings, and it requires a centralized system. Additionally, cost optimization of expenses over the reduction of environmental pollution due to heavy machinery and supply chain management is also an important part of industrial setups. This research has utilized a neutrosophic fuzzy goal optimization technique to solve a multi-item, multi-objective store management system with fuzzy parameters. A model is constructed to deal with a multi-item multi-objective fixed-place fractional programming problem (FPP). A problem having five objective functions under FPP has been considered in this study, and it has been solved by splitting it into two numerical illustrations. The objectives are based on the maximization of profit generated by the inventory system of entire industries with back-order quantity and deterioration items; the minimization of inventory costs by minimizing inventory carrying costs and management costs; the minimization of total cost spent on reducing environmental pollution costs; the minimization of shortage costs; and the minimization of obsolescence costs. Constraints include the purchase amount, the quantity of each item that can be stored per unit due to warehouse capacity, the flexibility of order quantity in terms of cost, overall demand for an item, the number of orders placed, etc. The study is enhanced with a healthy comparison of the proposed algorithm with some existing methods, and the proposed method is found to be decent as compared to others