15-JMP Pro 17 Process CapabilIty

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North Carolina State University *

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533

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Industrial Engineering

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Apr 3, 2024

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TT-TE-TTM 533_1 TT-TE-TTM 533 Lean Six Sigma PROCESS CAPABILITY
TT-TE-TTM 533_2 TT-TE-TTM 533 Lean Six Sigma Objectives Discuss process capability terms Illustrate assessing process capability Understand the different capability indices Calculate process capability using JMP 17 Discuss using run charts and Pareto charts to establish a process baseline Review the Measure Tollgate
TT-TE-TTM 533_3 TT-TE-TTM 533 Lean Six Sigma Process Baseline The team’ s last task in Measure is to report the current process baseline. The team will continue to collect data on the project metric throughout the project and compare it to the baseline. Process capability is one way to report the process baseline. Graphically, the baseline may be reported with a run chart or even a Pareto plot.
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TT-TE-TTM 533_4 TT-TE-TTM 533 Lean Six Sigma Process Capability Terminology Specification Limits Boundaries, usually set by management, engineering or customers, within which a process must operate Voice of the customer Is the service or product meeting the customer’ s expectations? Process Capability Compares the output of an in-control process to specification limits using capability indices Answers the question of how well a process meets a customer’ s expectations
TT-TE-TTM 533_5 TT-TE-TTM 533 Lean Six Sigma Why Assess Process Capability? Allows us to quantify the nature of the problem we will attack as one of the following: Are the specifications correct for the parameter (Y) of interest (process or performance output variable)? Is the location of the central tendency of the parameter (Y) centered within the appropriate specifications? Is the process variation in the parameter greater than allowed by the specifications? Is the measurement system affecting our ability to assess true process capability? Allows the organization to predict defect levels.
TT-TE-TTM 533_6 TT-TE-TTM 533 Lean Six Sigma A Practical Illustration A popular coffee bar has started receiving complaints from customers about the coffee temperature. Some customers say the coffee is too hot, but others have complained it is too cold.
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TT-TE-TTM 533_7 TT-TE-TTM 533 Lean Six Sigma A Practical Illustration 115 110 120 125 105 Customer surveys and industry benchmarking indicate that customers will be satisfied if the temperature is between 110 and 120 degrees F. Minimum Specification Maximum Specification
TT-TE-TTM 533_8 TT-TE-TTM 533 Lean Six Sigma A Practical Illustration 115 110 120 125 105
TT-TE-TTM 533_9 TT-TE-TTM 533 Lean Six Sigma Capability Indices A capability index uses both the process variability and the process specification limits to quantify whether or not a process is capable of meeting customer expectations. Cp Indicates how well the process distribution fits within its specification limits. This index reflects how capable the process would be if centered Cpk Incorporates information on spread as well as the process mean so it is an indicator of how well the process is actually performing. If Cp = Cpk, the process is centered. If Cp > Cpk the process is not centered.
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TT-TE-TTM 533_10 TT-TE-TTM 533 Lean Six Sigma Capability Indices Capability indices can be divided into two categories: within (short-term) and overall (long-term). Within or Short-term capability studies are based on measurements collected from one operating run. Overall or Long-term capability studies consist of measurements which are collected over a longer period of time. It is assumed that data collected over a long period of time includes both common cause and special cause variation.
TT-TE-TTM 533_11 TT-TE-TTM 533 Lean Six Sigma Estimation of Capability Indices s * 6 ) LSL - SL U ( C term - short ) best ( p = C 3 Z (best) p ) best ( T S = s * 3 ) LSL - x , x - SL U ( Min Cpk term - short = Short-Term Capability Indices Long-Term Capability Indices s * 6 ) LSL - SL U ( P term - long p = P 3 Z p ) best ( T L = s * 3 ) LSL - x , x - SL U ( Min Ppk term - long =
TT-TE-TTM 533_12 TT-TE-TTM 533 Lean Six Sigma Assumptions The process data is normally distributed The process is in-control no special cause variation is present
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TT-TE-TTM 533_13 TT-TE-TTM 533 Lean Six Sigma A Practical Illustration 115 110 120 125 105 How capable is the coffee shop?
TT-TE-TTM 533_14 TT-TE-TTM 533 Lean Six Sigma Example Coffee Capability.jmp 1. Open the file Coffee Capability.jmp . from Wolfware for today 2. Analyze Distribution 3. Select Temperature → Y, Columns → OK . 4. Click the red triangle next to Temperature and select Process Capability . 5. Lower spec limit is 110 6. Upper spec limit is 120 7. Target is 115 8. Select OK .
TT-TE-TTM 533_15 TT-TE-TTM 533 Lean Six Sigma Coffee Capability In theory we can change preferences to see Pp and Ppk labeling in JMP 14.3
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TT-TE-TTM 533_16 TT-TE-TTM 533 Lean Six Sigma Process Sigma The Sigma level is a measure of how often defects are expected to occur in a process.
TT-TE-TTM 533_17 TT-TE-TTM 533 Lean Six Sigma Sigma and Capability Cp Parts Per Million Defects σ 1.00 66,813 3.0 1.33 6,210 4.0 1.50 1,350 4.5 1.67 233 5.0 1.83 32 5.5 2.00 3.4 6.0
TT-TE-TTM 533_18 TT-TE-TTM 533 Lean Six Sigma Example: Coffee 1. Open Sigma Calculator.xls . 2. Under Sigma Level-Continuous Data, type 116.88 in the Mean field. 3. Type 4.314 in the Standard Deviation field. 4. Type 110 in the LSL field. 5. Type 120 in the USL field. Is this process operating at an acceptable sigma level?
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TT-TE-TTM 533_19 TT-TE-TTM 533 Lean Six Sigma Example: Ischemia Time 1. Open Sigma Calculator.xls . 2. Under Sigma Level-Continuous Data, type 27.96 in the Mean field. 3. Type 8.094 in the Standard Deviation field. 4. Type 30 in the USL field. Is this process operating at an acceptable sigma level?
TT-TE-TTM 533_20 TT-TE-TTM 533 Lean Six Sigma Example: CRO Patient Recruiting Background : A CRO has started to experience long delays in completing the projects they have been awarded in the last 12 months. The executive team identified several areas of the process that might be leading to the long delays. Several Six Sigma teams were formed to tackle this project. One team is addressing the amount of time spent recruiting patients for a study. Problem Statement : The average number of weeks needed to recruit patients for new studies has increased from 6 weeks to 10 weeks in the last year, resulting in significant delays in starting new trials.
TT-TE-TTM 533_21 TT-TE-TTM 533 Lean Six Sigma Example Patient Recruiting.jmp 1. Open the file Patient Recruiting.jmp . from JMP File in today’s Wolfware 2. Analyze → Distribution . 3. Select Recruiting Weeks → Y, Columns, OK . 4. Click the red triangle next to Recruiting Weeks and select Process Capability . 5. Upper spec limit is 8.5 6. Target is 6 7. Select OK .
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TT-TE-TTM 533_22 TT-TE-TTM 533 Lean Six Sigma Patient Recruiting Capability
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TT-TE-TTM 533_23 TT-TE-TTM 533 Lean Six Sigma Example: Bursting Strength One of the key quality characteristics of glass soda bottles is bursting strength (the pressure at which the bottle burst measured in psi). A manufacturer of bottles has set the lower specification limit on bursting strength at 200 psi. There is no upper specification limit. The bursting strength data is stored in Bursting Strength.jmp .
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TT-TE-TTM 533_24 TT-TE-TTM 533 Lean Six Sigma Example: Bursting Strength 1. Open the Bursting Strength.jmp . from JMP files in today’s Wolfware 2. Analyze → Distribution . 3. Select Bursting Strengths → Y, Columns, OK . 4. Click the red triangle next to Bursting Strengths and select Process Capability . 5. Enter 200 as the Lower Spec Limit . 6. Select OK .
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TT-TE-TTM 533_25 TT-TE-TTM 533 Lean Six Sigma Example: Bursting Strength How many ppm defects will this process produce? How many defects will this process produce?
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TT-TE-TTM 533_26 TT-TE-TTM 533 Lean Six Sigma Graphing the Project Metric At the end of the Measure phase, the Lean Six Sigma project team should have a process baseline to add to the project charter. If a process, or product, has specification limits associated with it, capability indices are appropriate measures of the process baseline. For processes without specification limits, Pareto Plots, Histograms and Run Charts may be used to assess and report the current process baseline.
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TT-TE-TTM 533_27 TT-TE-TTM 533 Lean Six Sigma Pareto Plots Pareto Plots 1. Open Client Complaints.jmp . 2. Select Analyze → Quality and Process → Pareto Plot . 3. Select Complaint → Y, Cause . 4. Select Number of Occurrences → Freq . 5. Select OK .
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TT-TE-TTM 533_28 TT-TE-TTM 533 Lean Six Sigma Pareto Plot Which area should the Lean Six Sigma team target first?
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TT-TE-TTM 533_29 TT-TE-TTM 533 Lean Six Sigma Run Charts Run Charts 1. Open Invoice Close Outs.jmp . 2. Select Analyze → Quality and Process → Legacy Control Charts → Runs Chart . 3. Select Invoice Close Out Days → Process . 4. Select OK .
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TT-TE-TTM 533_30 TT-TE-TTM 533 Lean Six Sigma Run Chart
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TT-TE-TTM 533_31 TT-TE-TTM 533 Lean Six Sigma Lean Six Sigma DMAIC Process DEFINE What problem are we addressing? MEASURE What data is needed and what is the current performance? ANALYZE What are the root causes of the problem? IMPROVE What is the best solution to remove each root cause? CONTROL How can we insure the gains are maintained? Potential projects evaluated and selected Project charter completed VOC collected and analyzed Process mapped Data collection plan created Data collection completed Process baseline established Potential root causes identified Analysis of data completed Brainstorm potential solutions Pilot solutions Optimize process outputs Document solution implementation plan Select appropriate controls Document control plan Deliver project documentation Celebrate completed project
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TT-TE-TTM 533_32 TT-TE-TTM 533 Lean Six Sigma Measure Tollgate Determine project critical Ys and Xs Create the data collection plan Complete a measurement systems analysis Collect data Calculate process capability and baseline Update charter
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