A Sustainable Inventory Model to Study the Mixing and Bottling Plant of Single Item for Cost Minimization

In manufacturing industries of clinical ethanol, wine, beer, and sanitizers are produced by mixing the absolute ethanol with other ingredients. The mixing process is allowed for various purposes of enhancing the flavor, change the concentration, color of the liquid, and its applicability. The contemporary research on production inventory modeling and scheduling of fluid products, as mentioned above, completely ignore the complexity and cost embodied in the preparation of the above-mentioned products. In this paper, for the first time, an attempt has been made to develop an inventory model to study the mixing and bottling of the manufacturing industry. Two different liquids are considered for mixing in a definite proportion to produce the desired product. The objective of the present model is to minimize the overall cost of bottling and mixing plants and to obtain the optimum quantity of bottles to be filled in the filling station in order to maximize the profit. Carbon emission is considered in the model together with green investments. The model is solved using two forms of particle swarm algorithm, convergence curve is provided to justify the convergence of the solution array along with the graphical representation of the convex surface of the objective function. The model is validated with numerical examples, and sensitivity analysis is provided to test the robustness of the model.