In a conventional production, operations of turning, splines cutting and grinding are followed in sequence to produce splined shaft for gear boxes and lathe, milling and grinding machines are used for the operations. The reliability of the lathe, milling machine and grinder are 0.89, 0.87 and 0.93 respectively. It has been suggested that to improve reliability two identical machines could be used at each stage. If one fails the other can be used while the first one is being repaired. Another suggestion has been put forward to buy a CNC machining center with a reliability of 0.90 which will do the functions of the lathe and the milling machine.  Calculate the system reliability for each of the 3 layouts and decide which is the most reliable

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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In a conventional production, operations of turning, splines cutting and grinding are followed in sequence to produce splined shaft for gear boxes and lathe, milling and grinding machines are used for the operations. The reliability of the lathe, milling machine and grinder are 0.89, 0.87 and 0.93 respectively. It has been suggested that to improve reliability two identical machines could be used at each stage. If one fails the other can be used while the first one is being repaired. Another suggestion has been put forward to buy a CNC machining center with a reliability of 0.90 which will do the functions of the lathe and the milling machine. 

Calculate the system reliability for each of the 3 layouts and decide which is the most reliable 

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