Rahaman, MostafijurHaque, RakibulSalahshour, SoheilSobczak, AnnaAzizzadeh, FaribaAlam, SharifulMondal, Sankar Prasad2025-06-152025-06-1520252081-88582391-606010.37190/ord2502032-s2.0-105006676884https://doi.org/10.37190/ord250203https://hdl.handle.net/20.500.14517/7979Time is a very crucial factor in controlling demand patterns for certain products. In manufacturing processes, the production rate must be regulated according to the demand pattern and available stock as a part of effective lot size management policies. We incorporate this fundamental idea for constructing the production rate as a function of demand and stock, which is the primary contribution of this paper. Predicting demand patterns and adjusting the production rate inherently involve vagueness. We use neutrosophic logic, an advanced mathematical tool for addressing imprecision in decision planning. Neutrosophic calculus-based analysis of uncertainty involved with the proposed model is the secondary contribution in this paper. Numerical results indicate that the proposed approach yields superior results compared to the crisp environment and traditional neutrosophic approaches for cost minimization. Furthermore, it is worth noting that Case 1 of the proposed neutrosophic differential approach guarantees better results than Case 2.eninfo:eu-repo/semantics/openAccessEpq Model With DeteriorationTime Impacted DemandStock And Demand Dependent Product ProcessDecision Making Under ImprecisenessTriangular Neutrosophic NumbersNeutrosophic Differential EquationNeutrosophic DerivativeNeutrosophic Ruled UncertaintyArticle