Abstract: In this paper a probabilistic inventory model with deterministic and stochastic environments is discussed. We analyze the model by geometric programming and fuzzy geometric programming techniques. During the entire discussion the model is discussed under Uniform and exponential lead time demands. Finally it is concluded that fuzzy geometric programming gives us more optimized result than geometric Programming Technique.

Keywords: Geometric Programming, Fuzzy Geometric Programming, Stochastic Environment.

| DOI: 10.17148/IARJSET.2025.12202