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Replacement theory (intro)

General · Mathematics

Study notes

Q: A bulb costs ₹20, fails with increasing rate. When to replace preventively? Age policy: replace at age T or failure. Cost rate: C(T) = (20+failure costs)/expected cycle. Increasing failure rate: preventive pays (avoid failure cost!). Constant rate: never prevent (memoryless!). Optimal T: minimize C(T) (derivative!). (Replace before wear-out!)

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