A Review on Mathematical Models for the Layout Design of the Cell Manufacturing System in Dynamic State

Abstract

Cellular manufacturing system (CMS) is one of the most important applications of the group technology (GT), with the production and management of parts and machines which have similar specifications and can move from batch production to mass production. Due to both the rapid changes in production technology and the CMS’s dependence on the demand for the most often uncertain part, researchers have designed mathematical models for designing the layout problem in a DCMS in previous research. In this study, an attempt has been made to review the assumptions in mathematical models of a DCMS and in the end, gains and gaps in this the field should be mentioned. This paper is the type of secondary study. According to the nature of the study which is qualitative, the grounded theory (GT) method has been used by reviewing previous research. A research population is a collection of articles that refer to various features in mathematical model of a DCMS. The results of the study showed that the concentration of many researchers in the mathematical models of the DCMS have been on two phases of cell formation (CF) and cell layout (CL), and they do not consider cell Scheduling (CS) stage. Therefore, a comprehensive mathematical model which considers all three phases for designing a DCMS has not been provided. In previous research, treated to mathematical models in a DCMS important assumptions such as uncertain demand, multipurpose machines, multi-skilled labor, machine reps, re-configuring cells, and machines are less noticeable. To solve the mathematical models in a DCMS, many researchers have been used (Ga) and they can also use heuristic and meta-heuristic algorithms.