An Inventory Model under Space Constraint in Neutrosophic Environment: A Neutrosophic Geometric Programming Approach

Abstract

In this paper, an inventory model is developed without shortages where the production cost is inversely related to the set up cost and production quantity. In addition, the holding cost is considered time dependent. Here impreciseness is introduced in the storage area. The objective and
constraint functions are defined by the truth (membership) degree, indeterminacy (hesitation) degree and falsity (non-membership) degree. Likewise,
a non-linear programming problem with a constraint is also considered. Then these are solved by Neutrosophic Geometric Programming Technique
for linear membership, hesitation and non-membership functions. Also the solution procedure for Neutrosophic Non-linear Programming Problem is
proposed by using additive operator and Geometric Programming method. Numerical examples are presented to illustrate the models using the proposed
procedure and the results are compared with the results obtained by other optimization techniques.