Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12.9, Problem 32P
Summary Introduction

Interpretation: Values of AQL, LTPD, sample size and number of defects needs to be determined based on the given data.

Concept Introduction: Binomial distribution can be approximated to poisson distribution when sample size is large and percent defectives is very small.

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A single sampling inspection scheme for large lot of mass-produced flanges states:From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection.a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p.b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plotthe operating characteristics and average outgoing quality curve.c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for pof 5%.
84 Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 12% while the LTPD acceptable by the assembly department is 35%. Assume the company is willing to accept a consumer's risk of 10 percent and a producer's risk of 5 percent. a. Find the sample size. Use Exhibit 10.16. Note: if the exact value of the computed LTPD/AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio Note: Round up your answer to the next whole number.
Large-scale integrated (LSI) circuit chips are made in one department of an electronics firm. These chips are incorporated into analog devices that are then encased in epoxy. The yield is not particularly good for LSI manufacture, so the AQL specified by that department is 0.15 while the LTPD acceptable by the assembly department is 0.40. Assume the company is willing to accept a consumer's risk of 10 percent and a producer's risk of 5 percent. Find the sample size. Use Exhibit 10.16. Note: if the exact value of the computed LTPD ÷ AOQ ratio does not appear in Exhibit 10.16, use the next higher ratio. Note: Round up your answer to the next whole number.   How would you tell someone to do the test?
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