Department of Industrial Engineering, Firoozkooh Branch, Islamic Azad University, P.O. Box 148, Firoozkooh, Iran
Department of Industrial Management, Qom Branch, Islamic Azad University, P.O. Box 3749113191, Qom, Iran
Department of Industrial Engineering, Mazandaran University of Science and Technology, P.O. Box 734, Babol, Iran
Department of Industrial Engineering, College of Engineering, University of Tehran, P.O. Box 11155-4563, Tehran, Iran
This paper presents a multi-objective mixed-integer nonlinear programming model to design a group layout of a
cellular manufacturing system in a dynamic environment, in which the number of cells to be formed is variable.
Cell formation (CF) and group layout (GL) are concurrently made in a dynamic environment by the integrated
model, which incorporates with an extensive coverage of important manufacturing features used in the design of
CMSs. Additionally, there are some features that make the presented model different from the previous studies.
These features include the following: (1) the variable number of cells, (2) the integrated CF and GL decisions in a
dynamic environment by a multi-objective mathematical model, and (3) two conflicting objectives that minimize
the total costs (i.e., costs of intra and inter-cell material handling, machine relocation, purchasing new machines,
machine overhead, machine processing, and forming cells) and minimize the imbalance of workload among cells.
Furthermore, the presented model considers some limitations, such as machine capability, machine capacity, part
demands satisfaction, cell size, material flow conservation, and location assignment. Four numerical examples are
solved by the GAMS software to illustrate the promising results obtained by the incorporated features.