OPERATIONS MANAGMENT IN...-ACCESS
7th Edition
ISBN: 9781259716225
Author: SCHROEDER
Publisher: MCG
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Question
Chapter 9, Problem 14P
a)
Summary Introduction
To determine: The standard deviation of the process.
Introduction:
Process capability:
Process capability is the measure of repeatability of a process over and over with consistency in the manufacturing, relative to the requirements asked by the customer.
b)
Summary Introduction
To determine: The process mean value.
c)
Summary Introduction
To explain: The possible actions for the company if it cannot meet the requirements.
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A customer has specified that they require a process capability of Cp= 1.5 for a certain product. Assume that USL = 1100, LSL = 700, and the process is centered within the specification range. a. What standard deviation should the process have? b. What is the process mean value? c. What can the company do if it is not capable of meeting these requirements?
A process is in statistical control with = 202,5 y s = 2,0. Specifications are atLSL = 196 and USL = 206.a) Estimate the process capability with an appropriate process capability ratio.b) What is the potential capability of this process?c) Items that are produced below the lower specification limit must bescrapped, while items that are above the upper specification limit can bereworked. What proportion of the process output is scrap and whatproportion is rework?d) Because scrap is more expensive than rework, the process has been centered closer to the upper specification limit. If scrap is twice as expensive as rework, is the process mean at the best possible location? What value of the process target would you recommend?
Flextronchip, an OEM manufacturer, has a fifth-generation chip for cell phones, with chip specification of 0.2 ± 0.0002 mm for the distance between two adjacent pins. The loss due to a defective chip has been estimated as $28.
Required:
1. Compute the value of k, the cost coefficient in the Taguchi quality loss function (QLF), L(x) = k(x − T)2.
2. Assume that the quality control manager takes a sample of 100 chips from the production process. The results are as follows:
Measurement
Frequency
0.1996
2
0.1997
6
0.1998
14
0.1999
9
0.2000
45
0.2001
9
0.2002
8
0.2003
5
0.2004
2
a. & b. Use the appropriate Taguchi quality loss function, L(x), to calculate the estimated quality loss for each of the observed measurements. Additionally, calculate the expected (i.e., average) loss per unit for the production process as a whole.
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- Background information: Allison collected additional days of data to monitor the process. Steps to monitor using the control charts: Now monitor the process. An additional ten days of data have been collected, see table labeled “1st 10 Days of Monitoring Reservation Processing Time” in the Data File. Develop Xbar and R charts for the 1st 10 days of monitoring. Plot the data for the 1st 10 days on the Xbar and R charts. Is the process in control? If the control chart indicates an out-of-control process, note which days, the pattern, and whether it is the Xbar or R chart. Now that we have set up the control charts using enough data from a stable process, the 30 days of data, we will monitor the process. While monitoring the process, what will we use as the lower control limit for the X-bar Chart to compare against our new x-bar values ? Enter your response to three decimal places. You do not need to include the units (minutes), ONLY the numeric value. USE EXCELL DATA TO GET…arrow_forwardThe output from a process contains a 0.02 defective unit. Defective units that go undetected into final assemblies cost $25 each to replace. An inspection process, which would detect and remove all defectives, can be established to test these units. However, the inspector, who can test 20 units per hour, is paid $8 per hour, including fringe benefits. Should an inspection station be established to test all units?a. What is the cost to inspect each unit?b. What is the benefit (or loss) from the inspection process?arrow_forwardSuppose that a processoutput is normally distributed with a mean of 30.0 and a variance of 1.44. If the specifications are 30.0 /- 3.25, then compute process capability indices. Is the process capable of meeting specifications?arrow_forward
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