Effective inventory management is crucial across various sectors such as food, ware-housing, and agriculture. This paper presents a dynamic stochastic inventory control
model for deteriorating items, incorporating both linear and nonlinear time dependen-cies in demand and deterioration rates. The model recognizes the inherent uncertain-
ties in demand patterns and deterioration processes, reflecting real-world complexities. Central to this study is the collaborative relationship between merchants and con-sumers, essential for modern business dynamics. The objective is to determine the optimal ordering policies for consumers over the replenishment cycle to maximize ex-
pected total profit for both parties. Analytical modeling is employed to derive optimal solutions, and a comparative analysis of expected profits under collaborative and non-collaborative scenarios is conducted. A numerical example is provided, along with a sensitivity analysis to assess the impact of varying parameters on the optimal policy outcomes.

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