...ON AN IMPROVED FRACTION NONCONFORMING CONTROL CHART Jacob Alford, Graduate student, University of Alabama in Huntsville Abstract. In their article published in the April 2013 edition of Control Engineering Practice, Silvia Joekes and Emanuel Pimentel Barbosa present the use of a correction factor, the Cornish-Fisher quantile correction, to improve the fraction nonconforming control chart (p-chart) when dealing with high quality processes. Introduction. The use of the standard Shewhart control chart for the fraction of nonconforming parts will produce a type I error–signaling that the process is out of control when, in fact, it is still in control–with probability 0 = 0.0027. When dealing with a process with both high quality and a large yield, the control limits for the Shewhart p-chart based on the normal distribution will become tighter, leaving a greater chance of a false alarm signal occurring. This journal entry proposes a modified version of the p-chart based on the CornishFisher expansion, which allows monitoring processes with very low values of p. This new corrected p-chart is shown using one and two terms of correction. Shewhart p-chart basics. Shewhart control charts use 3 limits for both upper and lower control limits, i.e. 3 . The use of Shewhart control charts is commonplace due to their ease of use: the process will only ever signal in control or out of control. This type of pass/fail or conforming/nonconforming relationship is used for attributes data:...
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...Control Charts and Introduction to Six Sigma Session 12: Control Charts and Introduction to Six Sigma concepts Control Charts and Introduction to Six Sigma Control Charts - Topics of Discussion – – – – – Control Chart History Control Limits Individuals and Moving Range Charts X-bar and R Charts Subgrouping Control Charts and Introduction to Six Sigma Typical Process Metrics • • • • • • • • • Cycle times Lead times Productivity Schedule variance Budget variance Employee satisfaction Customer satisfaction Safety incidents System users (# hits) • • • • • • • • • Days sales outstanding Customer service calls Request for quotes Proposal development Attrition/retention Bid win rate Transactional defects Sales orders Revenue dollars What are some metrics associated with your projects? What are some metrics associated with your projects? Control Charts and Introduction to Six Sigma Control Charts – “While every process displays Variation, some processes display controlled variation, while other processes display uncontrolled variation” (Walter Shewhart). – Controlled Variation is characterised by a stable and consistent pattern of variation over time. Associated with Common Causes. – Process A shows controlled variation. X-Bar Chart for Process A X-Bar Chart for Process A UCL=77.20 UCL=77.20 75 X a C a fo P ce B -B r h rt r ro ss 8 0 U L 7 .2 C= 7 7 Sample Mean 7 0 X= 0 8 7 .9 L L 6 .7 C= 4 0 6 0 5 0 Special Causes 0 5 1...
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...Study This paper looks at constructing control charts from the data given for the variability in the circuits boards purchased from an supplier for the Fujiyama Electronics Company. Data of the thirty samples of four board each are fed into the analysis template to come up with the table below that gives an insight into the variability which would be further used to address the issue. 1. Calculate X-Bar-Bar, R-Bar, and associated control limits using the data in the table above. From the above image, the X-Bar-Bar number can be seen in the top set of results titled “Center.” Therefore X-Bar-Bar = 5.1 The R-Bar result is the “Center” result the bottom set of data is R-Bar. Therefore R-Bar = 1.083 2. Create X-Bar•R (Average & Range) Control Charts from the data in the table above. The X-Bar Control Chart is shown below The R Control Chart is shown below 3. Discuss notable out-of-control conditions displayed in the completed X-Bar•R (Average & Range) Control Charts. Only consider points outside the control limits. Do not consider runs, set of points within certain zones, etc. From the X-Bar control chart, we can see that two points #19 and #21 are above the upper control limit. From the R-Chart we can see that one point, #18 is above the upper control limit. 4. If the conditions you note could be defined as assignable conditions and they are removed from the process, what will happen to the X-Bar•R Control Chart? The new table formed after removing...
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...molding machines, Coating machines, Extruders. PARTⅡ Case introduction: Plastics keychains are being produced in a company named Hot Shot Plastics. The plastic material is first molded and then trimmed to the required shape. The curetimes (which is the time for the plastic to cool) during the molding process affect the edge quality of the keychains produced. The aim is to achieve statistical control of the curetimes using X̅- and R-charts. Questions: 1. Prepare X̅- and R-charts using these data with the method described in the chapter. Solution: Factor for Determining from R̅ the Three-Sigma Control Limits for X̅- and R-Charts | | Factors for R-Chart | Number of observations in each samplen | Factor for X̅-ChartA2 | Lower Control LimitD3 | Upper Control LimitD4 | 4 | 0.73 | 0 | 2.28 | X̅̅ = 30.40289 R̅ = 5.932155 Upper control limit for X̅ = X̅̅ + A2 R̅ = 30.40289 + 0.73 (5.932155) = 34.73336315 Lower control limit for X̅ = X̅̅ - A2 R̅ = 30.40289 - 0.73 (5.932155) = 26.07241685 Upper control limit for R = D4 R̅ = 2.28 (5.932155) = 13.5253134 Lower control limit for R = D3 R̅ = 0 (5.932155) = 0 Exhibit 1 LCL 26.07241685 X̅̅=30.40289 UCL 34.73336315 Exhibit...
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...it still is a defect. Case Questions 1. Prepare a 3- sigma control chart for both production processes, using the new and standard (use the quality report in Delta Plastics, Inc. Case A, Chapter 5). Are both processes in control? What can you conclude? 2. Are both materials equally subject to the defects? 3. Given your findings, what advice would you give Jose? 1. Prepare a 3- sigma control chart for both production processes, using the new and standard (use the quality report in Delta Plastics, Inc. Case A, Chapter 5). Are both processes in control? What can you conclude? a. The control data is based on a chart showing the type of defect as well as the number of defects for one month, a total of 20 days. The average number of defects for the standard material is 1.93 and the range is 2.6. The control limit is 2.41, the upper control limit is 3.28 and the lower control limit is .571. The average number of defects for the new material is 2.44 and the range is 4.55. The control limit is 2.41, upper control limit is 4.14 and the lower control limit is -1.73. b. I tried to put the statistics together to have an overall perspective of the defects since most of them fall in the category of attributes rather than variables. I then took into consideration the 20 days as the period of observation rather than the four weeks. A P-chart methodology would rightly describe the products presented as good or bad because it...
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...Subject: Decision Analysis task 3 I have reviewed the figures and have made a recommendation based on my findings. It is my determination that given the data, we should purchase new equipment. Let’s analyze the data. The data below reflects the outcome of reconditioning old equipment, purchasing new equipment, and outsourcing. Below is an insert from POM for Windows an operations management tool used to determine best decisions in business operations. There are two types of costs to consider, fixed and variable. Based upon the information given the relationship between cost and revenues are linear. In order to use the cost volume and breakeven analysis tool, variable costs must be constant. Here we have constant costs but different scenarios which qualify it to be used by this tool. Using this tool, I created inputs for reconditioning new equipment, buying new equipment, and outsourcing. The figures for fixed and variable costs were used from company research. It was determined that at 1,000 units the variable costs could be determined and that it would be a good place to set our volume for analysis. The total fixed costs for reconditioning is $50,000 with one million dollars spent in variable costs for a total cost of $1.5 million. To purchase new equipment, the fixed costs are $200,000 and the variable costs are half of the cost of reconditioning the old equipment at $500,000 for a total cost of $700,000. Finally, to outsource, while there would be no initial or fixed...
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...Automated Swimming Pool Cleaning System Introduction: Automated pool cleaning systems have been developed to reduce the amount of human effort required to keep a pool clean. Without a cleaning system the pool water would quickly become stagnant and a habitation for all sorts of micro-organisms. Algae would soon fill the pool turning the water and pool surfaces green. Not only is this an aesthetic problem it could potentially be a serious risk to a swimmer’s health. The overall purpose of the automated pool cleaning system is to provide a swimming environment in which the risk to the health of the swimmer caused by contact with the pool water is minimised; and provide an aesthetically pleasing appearance to the pool. This is achieved through ensuring that the swimming pool remains clean and free from algae and harmful micro-flora such as bacteria or even viruses. The major components of the cleaning systems are a filtration system, a chemical distribution system, an in-pool cleaning unit and a pumping system. Figure 1 is an illustration of a typical in-pool cleaning unit. The cleaning unit is connected to the inlet of the pool pump via the white hose seen in the picture. Cleaning units typically use the suction from the pump to propel themselves around the pool. In some cases however the cleaning unit is driven by pressure from the outlet of the pool pump or a separate electric motor mounted in the cleaning unit. The cleaning unit is designed to clean the underwater...
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...QDC1 Study Questions Week 1 1. Describe the type of graphical charts used in operations management? Flow Charts, check sheets, histograms, cause and effect diagram, pareto diagram, scatter diagram, control charts, run charts. 2. Which two charts are important in statistical process control? Control chart and run chart Control Charts – show the performance and the variation of a process or some quality or productivity indicator over time in a graphical fashion that is easy to understand and interpret. They also identify process changes and trends over time and show the effects of corrective action. Control charts monitor performance of one or more processes over time to detect trends, shifts or cycles. Distinguishes special from common causes of variation. Allows a team to compare performance before and after implementation of a solution to measure its impact. Focuses attention on truly vital changes in the process. 3. Describe the uses of functional flowcharts: A chart that describes the steps in a process. Summarize the process, from start to finish, great to use for training. A flowchart or process map identifies the sequence of activities or the flow of materials and information in a process. Flowcharts help the people involved in the process understand it much better and more objectively by providing a picture of the steps need to accomplish a task. 4. Describe the use of histograms: provides clues about the characteristics of the parent population...
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...University Of Phoenix HCS/588 Measuring Performance Standards Instructor: NORMA LLOYD Schedule: 02/16/2016 - 03/28/2016 QI Plan Part 1: Patient Education By Aurdry Mondragon QI Plan Part 1: Patient Education Introduction Patient education is a vital process at Davis Health Care by which our health care professionals convey medical information to patients and their caregivers. In order to provide total care the patient must have a clear understanding of service they are obtaining. Patient Education is the route of this information, it may be provided by any healthcare professional with the correct training and education to do so. There are different kinds of patient education tool which is used in different areas of health care, such as, post-op, preventive, health promotions, and disease or condition specific education. It is important to include all elements of patient education, they are skill building and responsibility that the patient must reflect to determine their understanding. This paper will cover the Data Display, Measurement and Reporting of patient education. Part 1: Data Collection Tools Explain data needed to monitor improvements. A baseline of the understanding of the subject educated on should be obtained to have a point of view of the success the patient has obtained. The time in which the patient takes to convey the understanding of information is monitor to know that the goal is being met. Explain at least three data collection...
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...Management 360 Review (Chs. 16,17,18) Chapter 16 Any control system has three components: (p. 354) 1. a performance standard or goal 2. a means of measuring actual performance and 3. comparison of actual performance with the standard to form the basis for corrective action The 1:10:100 Rule: If a defect or service error is identified and corrected at the design stage, it might cost $1 to fix. If it isn't discovered until the production process, it may cost $10 to fix. However, if the defect is not detected until it reaches the customer, it may cost $100 to correct. The actual numbers are irrelevant, and the exact ratios differ among firms and industries. What is relevant is that the cost of repair or service recovery grows dramatically the further defects and errors move along the value chain. P. 354 Quality at the source means that the people responsible for the work control the quality of their processes by identifying and correcting any defects or errors when they are first recognized or first occur. Doing it right the first time is required. This requires that employees have good observation, data collection and analysis skills, as well as proper tools, training and the support of management. P.354 Statistical Process Control (SPC) is a methodology for monitoring quality of manufacturing and service delivery processes to help identify and eliminate unwanted causes of variation. P. 355 Common cause variation is the result of complex...
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...Chapter 9: MANAGING FLOW VARIABILITY: Process Control and capability 9.1 Objective This chapter focuses primarily on product quality and process capability, although we try to position it more generally as dealing with variability in any product measure such as cost, availability and response time. We claim that they all vary from one flow unit to the next, and this variability leads to customer dissatisfaction. It is therefore necessary to measure this variability, track down its sources and eliminate them. In the process of measuring variability, we introduce some elementary tools of quality or process improvement such as Pareto charts. We then classify variability into “abnormal” and “normal” types. We introduce statistical process control over time as a device to identify and eliminate abnormal variability in the short run. Since our goal is to teach the fundamental framework of feedback control and control limit policy, our discussion of SPC is primarily conceptual, without getting into constructing charts from given data using ranges, constants, etc. However, these details can easily be covered by supplementing the chapter with a one page handout on estimating the mean and standard deviation from ranges. Once the process is internally stabilized by removing abnormal variability, we can discuss its capability in meeting external customer requirements, and how it can be improved. We conclude by discussing six sigma quality and some general principles of design...
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...TOTAL QUALITY MANAGEMENT TOTAL QUALITY MANAGEMENT INTRODUCTION: Total quality management stresses three principles: customer satisfaction, employee involvement, and continuous improvements in quality. We shall take a look at what it involves being; the meaning of quality, cost of TQM, Evolution of TQM, Philosophy of TQM and quality tools for identifying and solving quality. Lastly, we shall describe the awards and quality certifications. DEFINING QUALITY According to Wiley (2005), the meaning of quality has changed over time and therefore there is no one single way of defining it. Some view quality as “performance to standards.” Others view it as “meeting the customer’s needs” or “satisfying the customer.” These are some of the common definitions: • Conformance to specifications: How well the product or service meets the targets and tolerances determined by its designers. For example, the wait for a fast food service may be specified as 20 minutes, but there may be an acceptable delay of an additional 10 minutes. Therefore, customers will measure quality by the performance of the complete product and the length of time between delays. • Fitness for use: How well the product or service performs its intended purpose. For example, you may purchase a car for transportation purposes but it may not be fit for the Kenyan roads. Therefore, fitness for use is a user-based definition in that it is intended to meet the needs of a specific user group. • Value for...
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...statistical control of the curetimes using Xbar and R-charts Curetime data of 25 samples, each of size 4 have been taken when the process is assumed to be in control. These are shown below. Sample no | Observations | 1 | 27.34667 | 27.50085 | 29.94412 | 28.21249 | 2 | 27.79695 | 26.15006 | 31.21295 | 31.33272 | 3 | 33.53255 | 29.32971 | 29.70460 | 31.05300 | 4 | 37.98409 | 32.26942 | 31.91741 | 29.44279 | 5 | 33.82722 | 30.32543 | 28.38117 | 33.70124 | 6 | 29.68356 | 29.56677 | 27.23077 | 34.00417 | 7 | 32.62640 | 26.32030 | 32.07892 | 36.17198 | 8 | 30.29575 | 30.52868 | 24.43315 | 26.85241 | 9 | 28.43856 | 30.48251 | 32.43083 | 30.76162 | 10 | 28.27790 | 33.94916 | 30.47406 | 28.87447 | 11 | 26.91885 | 27.66133 | 31.46936 | 29.66928 | 12 | 28.46547 | 28.29937 | 28.99441 | 31.14511 | 13 | 32.42677 | 26.10410 | 29.47718 | 37.20079 | 14 | 28.84273 | 30.51801 | 32.23614 | 30.47104 | 15 | 30.75136 | 32.99922 | 28.08452 | 26.19981 | 16 | 31.25754 | 24.29473 | 35.46477 | 28.41126 | 17 | 31.24921 | 28.57954 | 35.00865 | 31.23591 | 18 | 31.41554 | 335.80049 | 33.60909 | 27.82131 | 19 | 32.20230 | 32.02005 | 32.71018 | 29.37620 | 20 | 26.91603 | 29.77775 | 33.92696 | 33.78366 | 21 | 35.05322 | 32.93284 | 31.51641 | 27.73615 | 22 | 32.12483 | 29.32853 | 30.99709 | 31.39641 | 23 | 30.09172 | 32.43938 | 27.84725 | 30.70726 | 24 | 30.04835 | 27.23709 | 22.01801 | 28.69624 | 25 | 29.30273 | 30.83735 | 30.82735 | 31.90733 | Questions: 1. Prepare Xbar and R chart using...
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...Quality is generally defined as conformance to requirements. It is also conformance to a standard that is required. However, many consider that quality need not just be conformance to requirements but should be an assurance of being the best in the world of that type. In addition, it should also keep a constancy of purpose. Total Quality Total quality refers not only to the product but also to the way the product is made as well as presented to the customer. Total quality asks for customer orientation, process orientation, people management and leadership.All these are continuous processes. Total Quality Managers They believe in a learning organization. They want people not only to learn but also to internalize the learning. Statistical control of quality is very important to them. They believe that work ethic is an important part of any organization’s growth process. They don’t believe that there is a substitute for work ethic, which should become a part of every individual. Total Quality Management (TQM) Total Quality Management (TQM) is a management philosophy which focuses on continuous business improvement through company-wide employee participation and involvement with the fundamental objective of satisfying customer. TOM seeks to integrate all organizational functions (marketing, finance, design, engineering, and production, customer service, etc.) to focus on meeting customer needs and organizational objectives.This has led many researchers and academicians to focus their...
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...Excellence Click for Skillsoft Module: The Who, What and Why of ISO 9000:2000 Click for Skillsoft Module: Six Sigma: Reducing Variation to Improve Quality List the types of graphical charts used in operations management. Gantt Chart, PERT, P-Chart, C-Chart, Control Chart. Flowcharts Check Sheets Histograms Cause-and-effect diagrams Pareto diagrams Scatter diagrams Run charts Control Charts Which charts are important in statistical process control (SPC)? Run Chart Control Chart P-Chart C-Chart Describe the uses of functional flowcharts. Representation of a process, problem solving tool that helps investigators identify possible points where problems occur. A diagram of the step process, diamond shapes in the chart represent decision points, rectangles represent procedures and v represents the direction of the flow. Describe the uses of histograms. Getting a sense of the distribution of observed values, see distribution in symmetrical, what range of values is and if there are any unusual values-empirical frequent distribution. Describe the uses of run charts. used to track the values of a variable over time, aids in identifying trends or other patterns that may be occurring, ease of construction and ease of interpretation. Describe the uses of control charts. Used to monitor a process to see if the process output is random, help detect the presence of correctable cause of variation. Describe the problems management faces when implementing...
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