Mathematical Modeling and Efficient Solving of a Production Re-Balancing Problem in Assembly Lines Considering Work-Station's Non-Smoothness

In production systems، line balancing is carried out once at beginning of line construction. In this situation، any change in market needs a new design of assembly line to meet market requirements. However this new design needs a lot of cost. Hence، a new type of assembly line balancing is proposed in this research in which a current assembly line is working. In this situation، a new cycle time is required due to some changes in market settings. Therefore، a multi-objective model titled assembly line re-balancing problem is proposed whose aim is to schedule tasks in such a way that new cycle time is realized via minimum changes in current assembly line. Moreover، work stations’ non-smoothness is considered as a relatively new measure. After modeling the problem، an efficient differential evolution algorithm was suggested to solve the problem.