In this paper, we analyzed the sequencing situations on two machines where the machine
setup time is not independent of processing order.
A real case study of Hadhramout Industrial Company Complex, Mukalla, Yemen is taken
as a model. Data is collected and analyzed using MS-Excel by different methods. The problem
formulation has been presented. Multiple solutions were obtained by applying sequencing
methods. The comparison of different solutions is done to choose the optimal solution. The
time is reduced by 23% to perform the group of jobs and the setup time is reduced 30.5% as
well as the mean flow time is reduced by 30.5%.