A mathematical model for cell formation considering investment and operational costs

Forming part families by using genetic algorithm and designing machine cells under demand changes

“…They also provided efficient column generation schemes for the linear and relaxed mixed-integer programs. Adil et al [18] indicated that the current cell design procedures did not consider the operational aspects during cell formation. Therefore, the objective of their paper was to consider the investment and operational costs simultaneously during the design of a cellular manufacturing system.…”

“…As a result, much research has been devoted to the development of mathematical models. Unfortunately, only one paper [18] has been aimed at cell formation with scheduling aspects that considers sequence-dependent setup time, machine idle time, part WIP inventory, and part early and late finish times. Singh [25] also indicated in his study that there is a need to develop procedures which integrate scheduling and operational aspects into the cell design process.…”

“…(2), (8), (9), (11) and (14) are replaced by Eqs. (15), (16), (17), (18) and (19), respectively. The notation NP mc replaces N mc in Eqs.…”

“…The notation NP mc replaces N mc in Eqs. (15), (17) and (18). X (mo) ic and N mc are also no longer variables in Eqs.…”

Formation of machine groups and part families in cellular manufacturing systems using a correlation analysis approach

“…Geonwook, 1998;Wang, 2003 and others): (a) Grouping part families (e. g. in Kusiak, 1987) or machine cells only (e. g. in Rajamani et al, 1990) (b) Forming part families and then machine cells (e. g. in Choobineh, 1988;Adenso-Diaz et al, 2005), (c) Forming part families and machine cells simultaneously (e. g. in Adil et al, 1993).…”