Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2006.1915.1923MukattashAdnan M. Mohammad D. Al-Tahat 9200669The main objective of this research is to develop a mathematical computerized approach for designing cellular manufacturing systems. This method is based on extraction and optimizing the initial cells from the similarity coefficient matrix by using eigenvalues and eigenvectors. Furthermore, alternative solutions will be generated by identifying the required number of cells. Part assignment is then done by using any method from the literature. The last step of this developed computerized approach is to choose the optimal solution (s) from the alternative optimal solutions. A program was developed by the researchers to find all the above steps of the developed mathematical computerized approach directly. The optimal solution is the solution which gives the minimum sum of voids and exceptions. This method gives the designer the ability and flexibility of choosing between alternative optimal solutions. To evaluate and compare the performance of our developed mathematical computerized approach with the original mathematical approach, three of the well known methods have been used for this comparison and evaluation (grouping efficiency, grouping efficacy and grouping index). The grouping measures obtained by using our developed computerized approach is better than the results obtained by using the original mathematical approach, which means that our developed computerized approach gives the optimal solution (minimum sum of voids and exceptions).]]>Adil, G.K., D. Rajamani and D. Strong,1996Adil, B. and N.B.Z. Gindy,2000Albadawi, Z.A., H.A. Bashir and M. Chen,2003Chandrasekharan, M.P. and R. Rajiagopalan,1986Chandrasekharan, M.P. and R. Rajiagopalan,1986Chan, H.M. and D.A. Milner,1982Dimopoulos, C. and N. Mort,2001Eckstein, A.L.H. and T.R. Rohleder,1998Kleinbaum, D. and L. Kupper,1978Kumar, C.S. and M.P. Chandrasekharan,1990Mahesh, O. and G. Srinivasan,2002Mansour, S.A., S.M. Hussein and S.T. Newman,2000Nair, G.J. and T.T. Narendran,1996Nair, G.J. and T.T. Narendran,1998Klein, P.,1994Sandbothe, R.A.,1998Sarker, B.R. and K.M.S. Islam,2000Selim, H.M., R.G. Askin and A.J. Vakharia,1998Soleymanpour, M., P. Vrat and R. Shankar,2002Talluri, S., F. Huq and W.E. Pinney,1997Viswanathan, S.,1995Wang, S. and B.R. Sarker,2002King, J.R.,1980