Mathematical Models for the Formation and Evaluation of Manufacturing Cells in A Textile Company. A Case Study

Abstract

Purpose: Mathematical models of Mixed Integer Linear Programming oriented to cellular manufacturing and aggregate production planning to form the appropriate product family in each cell and minimize production and material handling costs through the appropriate allocation of productive resources. Design/methodology/approach: This article develops two mathematical models in LINGO 18.0 software, performing the computational calculation to obtain the best efficiency in cell formation at minimum production cost. Findings: The mathematical model oriented to the formation of manufacturing cells allows a grouping of products and machines with 82.5% group efficiency. By reallocating machines to each cell and redistributing facilities, the cost of material handling is reduced by 35.1%, and the distance traveled in product manufacturing is reduced by 26.6%. The mathematical model of aggregated planning provides information on production resource requirements such as personnel, machinery, distances traveled, as well as the cost generated by the need to outsource part of the production, inventory maintenance and overtime work. Research limitations/implications: It is necessary to clearly define the capacity variables. The model does not take into account the cost of mobilizing machines and readjusting facilities. Practical implications: The case study company can adequately plan production and efficiently manage its resources. Social implications: The study can be applied to other textile SMEs. Originality/value: The aggregate production planning model requires the assignment of the mathematical model of manufacturing cell formation in order to calculate the resource requirements needed to meet a demand.