A Crisp and Fuzzy Inventory Model for a Two-Storage Management System Under a Linear Trend in Demand: A Structural Review,

International Journal of Advanced Research in Science,

Engineering and Technology

Vol. 11, Issue 3, March 2024

ABSTRACT: The present paper deals with the development of an inventory model under crisp (deterministic) and Fuzzy (uncertainty) environment by considering the facilities of a two-storage named Owned Storage (OS) and Rented Storage (RS). A linear trend in demand is incorporated in the present model assuming constant deteriorating items in both OS and RS. The owned storage stands with finite capacity and the rented storage has large capacity of items. The total inventory costs for both crisp model and fuzzy model are derived. Signed Distance Method (SDM) is used to defuzzify the total cost function. Two illustrations are given for both the models separately. A sensitivity analysis of the optimal solution towards the changes of the system parameters is furnished. A pictorial presentation of the inventory cost with time is given for both the models. Lastly a structural review is demonstrated on the basis of the observation of the outcomes of the solution and pictorial scenario.

KEY WORDS: Inventory, crisp, fuzzy, deterioration, linear trend, owned storage, rented storage and defuzzify.