A bi- evel M athem atical Progra mming for C ell Formation Problem Considering Workers’ Interest

Nowadays, the necessity of m anufacturer s’ respons e to their customers’ demands nd their spheres of actions has extended widely. Staff creativity is an important factor in produc evolution, and their i terest in c ollaboratin with each other in t he working environment can contribute to the growth and maturity of this component. In this r search, two importan t aspects of cellular manufactur ng are tak en into consideration: Cell for ation and workforce planning. C ell format on is a strategic de ision, and workforce planning is a tactical decision. Practically, these two sectors cannot be plan ned simult neously, a nd decision making in this regard is decentralized. For this reason, a bi-level m thematical model is proposed. The first level aims to minimize the number of voids and exceptional elements. The second evel tends to promote the sense of interest between the workforces for working together, which will result in synergy and growth of the organization. To solve the proposed bi -level m odel, it was first changed to a m thematical model with one level u sing KKT m ethod and then solved by LINGO software. To verify th e proposed model, a real case study was studied, an d the results were prese n ted. This b i-level method makes it possible to find the bala nce point of the two objectives.

Keywords:

Cellular Manufacturing , Bi-Level Programming , KKT , Workers’ Interest