IEOR 165 Lecture 15 June 25 2009

# IEOR 165 Lecture 15 June 25 2009 - Quiz Quiz 1: Avg 18/20...

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Quiz Quiz 1: Avg 18/20 SD: 2.57 Quiz 2: Avg 16.5/20 SD: 4.19 If we spend some effort and do project, we get 20/20 Final: 2 question on Regression 2 question on Quality Control Quality Control Continued In control: μic σic2 Out of control: μoc σoc2 = + > μic δ δ 0 - - Control Chart SAmple average xbar chart sample size k xbarm In control: μic σic2k Out of control: μoc σoc2k UCL: upper control limit β α Accept that process μic μic accept that process Is in control σic2k σoc2k is out of control Xbar_m = = > - = - α Pfalse alarm PZ UCL uicσick zα UCL uicσick = = > - = - β Pmissing an excursion PZ μoc UCLσock zβ μoc UCLσock This is if someone specifies upper limit and k. We can input a required alpha or beta. AND we can have an input of Cost for false alarm/missing excursion and the question can ask us what the sample size / UCL is.

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Problem 1: minimize sample size k so that: alpha (ULC,k) α0 - UCL μicσick zα0 and , ≤ - βULC k β0 μoc UCLσock zβ0 Add together: * - + k μoc μic zα0σic zβ0σoc + - k zα0σic zβ0σocμoc μic IMPORTANT FINAL EXAM QUESTION! ON THE SPRING 2008 EXAM: If we compute all this, then we get
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## This note was uploaded on 07/22/2009 for the course IEOR 165 taught by Professor Shanthikumar during the Summer '08 term at University of California, Berkeley.

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IEOR 165 Lecture 15 June 25 2009 - Quiz Quiz 1: Avg 18/20...

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