) A production line has three machines A, B, and C, with reliabilities of 0.99,
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Question
) A production line has three machines A, B, and C, with reliabilities of 0.99, 0.96, and 0.93, respectively. The machines are arranged so that if one breaks, the other must shut down. Engineers are weighing two alternative designs for increasing the line's reliability. Plan involves adding an identical backup line, and plan 2 involves providing a backup for each machine. In either case, three machines (A, B, and C) would be used with reliabilities equal to the original three a. Which plan will provide the higher reliability? b. Explain why the two reliabilities are not the same. C. What other factorssion of which lun to adopt d. Assume that the single switch used in plan 1 is 98% reliable, while reliabilities of the machines remain the same. Recalculate the reliability of plan 1. Compare the reliability of this plan with the reliability of plan 1 calculated in solving the original problem. How much did the reliability of plan decreased as a result ofa 98% reliable switch? e. Assume that the three switches used in plan 2 are all 98% reliable, while reliabilities of the machines remain the same. Recalculate the reliability of plan 2. Compare the reliability of this plan with the reliability of plan 2 calculated in solving the original problem. How much did the reliability of plan 2 decreased?Explanation / Answer
1. Plan A will be higher reliability.
2. Plan A will higher reliability than plan B because Plan A will change the set up frequently whenerver any machine breakdown. The use of machine will be lesser in Plan A compare to Plan B.
3.If any breakdown happen:
Plan A: You have to move material and manpower to identical line.
Plan B: You will include machine changeover time as a downtime.
4. Original reliability of plan A =0.99*0.96*0.93=0.88
New reliability=0.99*0.96*0.93*0.98=0.86
Reliablity of plan A will decrease by 0.02 or 2 % by adding the single switch.
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