An effective container inventory model under bipolar neutrosophic environment

Abstract

The fuzzy set and its application play a major role to most of the uncertainty situations of inventory management problem. At present, as an enlargement of fuzzy set, the notion of neutrosophic set is initiated to implement in inventory models for uncertain parameters. In this paper, the Trapezoidal Bipolar Neutrosophic Number (TrBNN) is enforced to the container inventory model. Because of the imbalanced flow of containers, the container management organization faces the major issue of scarcity of containers. One-way Free Use (OFU) of container and renting of containers are employed to restore the shortfall units. An algorithm is designed to make a decision on various conditions to compute the expected total cost. Also, this paper scrutinizes a condition that some fraction of deficit containers is oneway free used and the remaining are leased. Unpredictable parameters such as the fraction of received containers after used, the fraction of amendable containers from received units, and the fraction of oneway free used containers are presumed as TrBNN. In the view of reduce the total cost, a neutrosophic container inventory model is framed to obtain the optimal duration of inspection process and the optimal duration of leasing process. To flourish this study more effective, the proposed container inventory model is compared with the model by presuming Triangular Bipolar Neutrosophic Number (TBNN).

Keywords

• trapezoidal bipolar neutrosophic number
• triangular bipolar neutrosophic number
• container inventory
• one-way free use
• lease