An optimization approach for the lot sizing and scheduling problem in the brewery industry

Alternative Mathematical Models and Solution Approaches for Lot‐Sizing and Scheduling Problems in the Brewery Industry: Analyzing Two Different Situations

“…The logical structure of each mathematical model is shown in Figure 2(a). Figure 2(a) that Stage I is represented by two different mathematical formulations: BSAM-I is described in Baldo et al [19] (see Section 3) and SPL-I is presented in Section 4.1. SPL-I uses a Simple Plant Location problem strategy [20] for modeling production and inventory decisions in Stage I.…”

“…Several computational tests were run supported by an optimization solver and the analysis of the results shows that the new approaches proposed for Case A obtained better results than the ones previously reported in the literature [19]. The computational tests also quantify the benefits of using more advanced technology available for brewery production processes, in order to reduce the setup changeover times (consequently costs) of the tanks that supply the filling lines, when considering Case B.…”

“…Another related study is presented in Baldo et al [19], who propose a mathematical programming approach to solve the problem considering both stages simultaneously. This is the only study found in the literature that performs the integration of both stages to address this problem.…”

“…(i) an alternative mathematical formulation using SPL (Simple Plant Location) strategies [20], to represent both stages (I and II) (ii) two other models, obtained by the combination of the SPL model and the model presented in Baldo et al [19]. (ii) an alternative mathematical formulation for Stage II using strategies based on ATSP (Asymmetric Traveling Salesman Problem) [21].…”

“…Section 2 briefly describes the beer production process and presents a detailed description of the problem. Section 3 includes a short explanation regarding the model described in Baldo et al [19]. Section 4 describes the mathematical formulations proposed to represent Case A and Section 5 the mathematical models for Case B.…”