Using a simulation of the manufacturing process Mr. GÃ¼rkan found a Â method to find the optimal location to place buffers to help machines Â run smoother and longer without breaking down. The simulation ran a Â maximum of 50 machines and took data on cycle times and downtime to set Â up the production process. Then using the data collected and forming a Â directional derivative could be used to infer the approximate location Â where the process became too loud or uneven. These points were isolated Â and selected for the optimal location for the buffers. Once added into Â the simulation the productivity of the process was found to increase as Â was the time between break down on the production line.
To further test the simulation additional production Â line simulations were produced. These additional simulations were made Â with fewer machines used in the process.Â These simulations were tested Â utilizing the directional derivative and more traditional stochastic Â testing methods and the level of error found between the two on the Â location of buffers was found to be negligible.
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