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1 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
4 Process Analysis For Operations Management, 9e by Krajewski/Ritzman/Malhotra © 2010 Pearson Education PowerPoint Slides by Jeff Heyl Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

2 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Process Analysis Processes may be the least understood and managed aspect of a business A firm can not gain a competitive advantage with faulty processes Processes can be analyzed and improved using certain tools and techniques Process analysis can be accomplished using a six-step blueprint Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

3 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
A Systematic Approach Define scope 2 Document process 3 Identify opportunity 1 Evaluate performance 4 Implement changes 6 Redesign process 5 Figure 4.1 – Blueprint for Process Analysis Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

4 Documenting The Process
Three effective techniques for documenting and evaluating processes are Flowcharts Service blueprints Process charts They help you see how a process operates and how well it is performing Can help find performance gaps Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

5 Flowcharts Marketing lead Sales: Initial conversation with client Sales and/or consulting drafts proposal Follow-up conversation between client and sales Sales lead Is proposal complete? No Yes Consulting lead Consulting: Initial conversation with client Consulting drafts proposal Follow-up conversation between client and consulting Nested Process Client agreement and service delivery Line of visibility Final invoice created by accounting, sales, or consulting Approval by consulting? Follow-up by accounting, sales, or consulting Client billed by accounting, sales, or consulting No Yes Payment received? No Yes Finish Figure 4.2 – Flowchart of the Sales Process for a Consulting Company Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

6 Flowcharts Is proposal complete? Verbal OK from client
Form completed by sales or consulting Project manager assigned Letter of agreement signed Final invoice created by accounting, sales, or consulting Delivery of service by consulting 50% invoiced by accounting, sales, or consulting Figure 4.3 – Flowchart of the Nested Subprocess of Client Agreement and Service Delivery Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

7 Flowcharts Credit and invoicing Production Control and Manufacturing Assembly and Shipping PRODUCTION FINANCE SALES CUSTOMER 100% of credit checked within 24 hours Two scheduling errors per quarter Order generated Product packages Product and invoice received Payment sent Order completed and submitted Order Payment received Payment Order cancelled Order received Order Order entered Order stopped Order cancellation New customer? Credit check OK? No Yes No Yes Invoice prepared Invoice sent Notice of shipment Inventory adjusted Production scheduled ` Items manufactured Order picked Order Packages assembled and inventoried Order shipped Figure 4.4 – Flowchart of the Order-Filling Process Showing Handoffs Between Departments Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

8 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Process Charts An organized way to document all the activities performed by a person or group Activities are typically organized into five categories Operation,  Transportation,  Inspection,  Delay,  Storage,  Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

9 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Process Charts Step No. Time (min) Distance (ft) Step Description 1 X 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0.50 15.0 10.00 0.75 40.0 3.00 1.00 60.0 4.00 5.00 2.00 200.0 180.0 20.0 Enter emergency room, approach patient window Sit down and fill out patient history Nurse escorts patient to ER triage room Nurse inspects injury Return to waiting room Wait for available bed Go to ER bed Wait for doctor Doctor inspects injury and questions patient Nurse takes patient to radiology Technician x-rays patient Return to bed in ER Wait for doctor to return Doctor provides diagnosis and advice Return to emergency entrance area Check out Walk to pharmacy Pick up prescription Leave the building Figure 4.5 – Process Chart for Emergency Room Admission Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

10 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Process Charts Step No. Time (min) Distance (ft) Step Description 1 X 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Summary Activity Number of Steps Time (min) Distance (ft) Operation 5 23.00 Transport 9 11.00 815 Inspect 2 8.00 Delay 3 Store 0.50 15.0 10.00 0.75 40.0 3.00 1.00 60.0 4.00 5.00 2.00 200.0 180.0 20.0 Enter emergency room, approach patient window Sit down and fill out patient history Nurse escorts patient to ER triage room Nurse inspects injury Return to waiting room Wait for available bed Go to ER bed Wait for doctor Doctor inspects injury and questions patient Nurse takes patient to radiology Technician x-rays patient Return to bed in ER Wait for doctor to return Doctor provides diagnosis and advice Return to emergency entrance area Check out Walk to pharmacy Pick up prescription Leave the building Figure 4.5 – Process Chart for Emergency Room Admission Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

11 Process Charts The annual cost of an entire process can be estimated
It is the product of Time in hours to perform the process each time Variable costs per hour Number of times the process is performed each year Annual labor cost Time to perform the process in hours Variable costs per hour Number of times process performed each year = Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

12 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Process Charts If the average time to serve a customer is 4 hours The variable cost is $25 per hour And 40 customers are served per year The total labor cost is 4 hrs/customer  $25/hr  40 customers/yr = $4,000 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

13 Work Measurement Techniques
Used to estimate the average time each step in a process would take Time study method Elemental standard data approach Predetermined data approach Work sampling method Learning curve analysis is appropriate for new products or processes Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

14 Time Study of Revised Process
EXAMPLE 4.1 A process at a watch assembly plant has been changed. The process is divided into three work elements. A time study has been performed with the following results. The time standard for process previously was 14.5 minutes. Based on the new time study, should the time standard be revised? SOLUTION The new time study had an initial sample of four observations, with the results shown in the following table. The performance rating factor (RF) is shown for each element, and the allowance for the whole process is 18 percent of the total normal time. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

15 Time Study of Revised Process
Obs 1 Obs 2 Obs 3 Obs 4 Average (min) RF Normal Time Element 1 2.60 2.34 3.12 2.86 2.730 1.0 Element 2 4.94 4.78 5.10 4.68 4.875 1.1 5.363 Element 3 2.18 1.98 2.13 2.25 2.135 0.9 1.922 Total Normal Time = The normal time for an element in the table is its average time, multiplied by the RF. The total normal time for the whole process is the sum of the normal times for the three elements, or minutes. To get the standard time (ST) for the process, just add in the allowance, or ST = ( ) = minutes/watch Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

16 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Work Sampling Figure 4.6 – Work Sampling Study of Admission Clerk at Health Clinic Using OM Explorer Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

17 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Learning Curves 140,000 120,000 – 100,000 – 80,000 – 60,000 – 40,000 – 20,000 – Labor Hours per Unit Cumulative Units Produced | | | | | | | Figure 4.7 – Learning Curve with 80% Learning Rate Using OM Explorer Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

18 Evaluating Performance
Chapter 5, Quality and Performance Customer satisfaction measures Error rate Rework or scrap rate Internal failure costs Chapter 6, Capacity Planning; Supplement C, Waiting Lines; Supplement H, Measuring Output Rates; Supplement I, Learning Curve Analysis Processing time Total time from start to finish (throughput time) Setup time Operating expenses Capacity utilization Average waiting time Average number of customers or jobs waiting in line Figure 4.8 – Metrics for Flowcharts, Process Charts, and Accompanying Tables Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

19 Evaluating Performance
Chapter 7, Constraint Management Cycle time Idle time Chapter 8, Lean Systems Setup time Average waiting time Total time from start to finish (throughput time) Waste Figure 4.8 – Metrics for Flowcharts, Process Charts, and Accompanying Tables Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

20 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Data Analysis Tools Help identify causes of problems Checklists Histograms and bar charts Pareto charts Scatter diagrams Cause-and-effect diagrams Graphs Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

21 Pareto Chart for a Restaurant
EXAMPLE 4.2 The manager of a neighborhood restaurant is concerned about the smaller numbers of customers patronizing his eatery. Complaints have been rising, and he would like to find out what issues to address and present the findings in a way his employees can understand. SOLUTION The manager surveyed his customers over several weeks and collected the following data: Complaint Frequency Discourteous server 12 Slow service 42 Cold dinner 5 Cramped table 20 Atmosphere 10 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

22 Pareto Chart for a Restaurant
Figure 4.9 is a bar chart and Figure 4.10 is a Pareto chart, both created with OM Explorer’s Bar, Pareto, and Line Charts solver. They present the data in a way that shows which complaints are more prevalent (the vital few). 50 – 45 – 40 – 35 – 30 – 25 – 20 – 10 – 5 – 0 – Failures Discourteous server Slow service Cold dinner Cramped tables Atmosphere Failure Name Figure 4.9 – Bar Chart Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

23 Pareto Chart for a Restaurant
 100% = 69.7% ( ) 89 – 100.0% – 80.0% – 60.0% – 40.0% – 20.0% – 0.0% 45 – 40 – 35 – 30 – 25 – 20 – 10 – 5 – 0 – Failures Discourteous server Slow service Cold dinner Cramped tables Atmosphere Failure Name Percent of Total Figure 4.10 – Pareto Chart Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

24 Analysis of Flight Departure Delays
EXAMPLE 4.3 The operations manager for Checker Board Airlines at Port Columbus International Airport noticed an increase in the number of delayed flight departures. SOLUTION To analyze all the possible causes of that problem, the manager constructed a cause-and-effect diagram, shown in Figure The main problem, delayed flight departures, is the “head” of the diagram. He brainstormed all possible causes with his staff, and together they identified several major categories: equipment, personnel, materials, procedures, and “other factors” that are beyond managerial control. Several suspected causes were identified for each major category. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

25 Analysis of Flight Departure Delays
Aircraft late to gate Mechanical failures Equipment Passenger processing at gate Late cabin cleaners Unavailable cockpit crew Late cabin crew Personnel Weather Air traffic delays Other Delayed flight departures Late baggage to aircraft Late fuel Late food service Contractor not provided with updated schedule Materials Poor announcement of departures Weight/balance sheet late Delayed check-in procedure Waiting for late passengers Procedures Figure 4.11 – Cause-and-Effect Diagram for Flight Departure Delays Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

26 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Data Analysis Tools Tools can be used together for data snooping to analyze data and determine causes Simulation can show how a process changes over time Process simulation is the act of reproducing the behavior of a process using a model that describes each step Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

27 Causes of Headliner Process Failures
EXAMPLE 4.4 The Wellington Fiber Board Company produces headliners, the fiberglass components that form the inner roof of passenger cars. Management wanted to identify which process failures were most prevalent and to find the cause. SOLUTION Step 1: A checklist of different types of process failures is constructed from last month’s production records. Step 2: A Pareto chart is prepared from the checklist data. Step 3: A cause-and-effect diagram for identifies several potential causes for the problem. Step 4: The manager reorganizes the production reports into a bar chart according to shift because the personnel on the three shifts had varied amounts of experience. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

28 Causes of Headliner Process Failures
SOLUTION Figure 4.12 shows the sequential application of several tools for improving quality 50 – 40 – 30 – 20 – 10 – 0 – – 100 – 80 – 60 – 40 – 20 – 0 Number of Failures Cumulative Percentage Defect Failure Step 2. Pareto Chart C Step 1. Checklist Defect type Tally Total A. Tears in fabric 4 B. Discolored fabric 3 C. Broken fiber board 36 D. Ragged edges 7 50 | | | D | | A B | | | | | | | | | Figure 4.12 – Application of the Tools for Improving Quality Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

29 Causes of Headliner Process Failures
SOLUTION Figure 4.12 shows the sequential application of several tools for improving quality Step 4. Bar Chart 20 – 15 – 10 – 5 – 0 – Number of Broken Fiber Boards Shift First Second Third Step 3. Cause-and-Effect Diagram Out of specification Not available Materials Training Absenteeism Communication People Broken fiber board Humidity Schedule change Other Machine maintenance Machine speed Wrong setup Process Figure 4.12 – Application of the Tools for Improving Quality Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

30 Redesigning the Process
After a process is documented, metrics are collected, and disconnects are identified, the process analyst determines what changes should be made People directly involved in the process are brought in to get their ideas and inputs Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

31 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Generating Ideas Ideas can be uncovered by asking six questions What is being done? When is it being done? Who is doing it? Where is it being done? How is it being done? How well does it do on the various metrics of importance? Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

32 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Generating Ideas Brainstorming involves a group of people knowledgeable about the process proposing ideas for change by saying whatever comes to mind After brainstorming the design team evaluates ideas and identifies those with the highest payoff Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

33 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Generating Ideas Benchmarking is a systematic procedure that measures a firm’s processes, services, and products against another firm Competitive benchmarking is based on comparisons with a direct competitor Functional benchmarking compares areas with those of outstanding firms in any industry Internal benchmarking compares an organizational unit with superior performance with other units Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

34 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Benchmarking There are four basic steps Step 1. Planning Step 2. Analysis Step 3. Integration Step 4. Action Collecting data can be a challenge Some corporations and government organizations have agreed to share data Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

35 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Benchmarking Customer Relationship Process Total cost of “enter, process, and track orders” per $1,000 revenue System costs of processes per $100,000 revenue Value of sales order line item not fulfilled due to stockout, as percentage of revenue Average time from sales order receipt until manufacturing logistics is notified Average time in direct contact with customer per sales order line item Order Fulfillment Process Value of plant shipments per employee Finished goods inventory turnover Reject rate as percentage of total orders processed Percentage of orders returned by customers due to quality problems Standard customer lead time from order entry to shipment Percentage of orders shipped on time Figure 4.13 – Illustrative Benchmarking Metrics by Type of Process Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

36 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Benchmarking New Service/Product Development Process Percentage of sales due to services/products launched last year Cost of “generate new services/products” process per $1,000 revenue Ratio of projects entering the process to projects completing the process Time to market for existing service/product improvement project Time to market for new service/product project Time to profitability for existing service/product improvement project Supplier Relationship Process Cost of “select suppliers and develop/maintain contracts” process per $1,000 revenue Number of employees per $1,000 of purchases Percentage of purchase orders approved electronically Average time to place a purchase order Total number of active vendors per $1,000 of purchases Percentage of value of purchased material that is supplier certified Figure 4.13 – Illustrative Benchmarking Metrics by Type of Process Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

37 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Benchmarking Customer Relationship Process Systems cost of finance function per $1,000 revenue Percentage of finance staff devoted to internal audit Total cost of payroll processes per $1,000 revenue Number of accepted jobs as percentage of job offers Total cost of “source, recruit, and select” process per $1,000 revenue Average employee turnover rate Figure 4.13 – Illustrative Benchmarking Metrics by Type of Process Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

38 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Managing Processes Failure to manage processes is failure to manage the business Seven common mistakes Not connecting with strategic issues Not involving the right people in the right way Not giving the design teams and process analysts a clear charter and then holding them accountable Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

39 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Managing Processes Seven common mistakes Not being satisfied unless fundamental “reengineering” changes are made Not considering the impact on people Not giving attention to implementation Not creating an infrastructure for continuous process improvement Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

40 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 1 Create a flowchart for the following telephone-ordering process at a retail chain that specializes in selling books and music CDs. It provides an ordering system via the telephone to its time-sensitive customers besides its regular store sales. The automated system greets customers, asks them to choose a tone or pulse phone, and routes them accordingly. The system checks to see whether customers have an existing account. They can wait for the service representative to open a new account. Customers choose between order options and are routed accordingly. Customers can cancel the order. Finally, the system asks whether the customer has additional requests; if not, the process terminates. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

41 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 1 SOLUTION Figure 4.14 – Flowchart of Telephone Ordering Process Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

42 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 1 SOLUTION Figure 4.14 – Flowchart of Telephone Ordering Process Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

43 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 2 An automobile service is having difficulty providing oil changes in the 29 minutes or less mentioned in its advertising. You are to analyze the process of changing automobile engine oil. The subject of the study is the service mechanic. The process begins when the mechanic directs the customer’s arrival and ends when the customer pays for the services. SOLUTION Figure 4.15 shows the completed process chart. The process is broken into 21 steps. A summary of the times and distances traveled is shown in the upper right-hand corner of the process chart. The times add up to 28 minutes, which does not allow much room for error if the 29-minute guarantee is to be met and the mechanic travels a total of 420 feet. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

44 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 2 Step No. Time (min) Distance (ft) Step Description 1 0.80 50.0 X Direct customer into service bay 2 1.80 Record name and desired service 3 2.30 Open hood, verify engine type, inspect hoses, check fluids 4 0.30 Walk to customer in waiting area 5 0.60 Recommend additional services 6 0.70 Wait for customer decision 7 0.90 70.0 Walk to storeroom 8 1.90 Look up filter number(s) 9 0.40 Check filter number(s) 10 Carry filter(s) to service pit 11 4.20 Perform under-car services 12 40.0 Climb from pit, walk to automobile 13 2.70 Fill engine with oil, start engine 14 1.30 Inspect for leaks 15 0.50 Walk to pit 16 1.00 17 3.00 Clean and organize work area 18 80.0 Return to auto, drive from bay 19 Park the car 20 60.0 Walk to customer waiting area 21 Total charges, receive payment Summary Activity Number of Steps Time (min) Distance (ft) Operation Transport Inspect Delay Store 7 16.50 8 5.50 420 4 5.00 1 0.70 1 0.30 Figure 4.15 – Process Chart for Changing Engine Oil Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

45 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 3 What improvement can you make in the process shown in Figure 4.14? SOLUTION Your analysis should verify the following three ideas for improvement. You may also be able to come up with others. a. Move Step 17 to Step 21. Customers should not have to wait while the mechanic cleans the work area. b. Store small inventories of frequently used filters in the pit. Steps 7 and 10 involve travel to the storeroom. c. Use two mechanics. Steps 10, 12, 15, and 17 involve running up and down the steps to the pit. Much of this travel could be eliminated. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

46 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 4 Vera Johnson and Merris Williams manufacture vanishing cream. Their packaging process has four steps: (1) mix, (2) fill, (3) cap, and (4) label. They have had the reported defects analyzed, which shows the following: Defect Frequency Lumps of unmixed product 7 Over- or underfilled jars 18 Jar lids did not seal 6 Labels rumpled or missing 29 Total 60 Draw a Pareto chart to identify the vital defects. Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

47 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 4 SOLUTION Defective labels account for percent of the total number of defects:  100% = 48.33% 29 60 Improperly filled jars account for 30 percent of the total number of defects:  100% = 30.00% 18 60 The cumulative percent for the two most frequent defects is 48.33% % = 78.33% Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

48 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 4 7 60  100% = 11.67% Lumps represent of defects; the cumulative percentage is 78.33% % = 90.00% Defective seals represent of defects; the cumulative percentage is 6 60  100% = 10.00% 10% + 90% = % The Pareto chart is shown in Figure 4.16 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

49 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.
Solved Problem 4 40 – 36 – 32 – 28 – 24 – 20 – 16 – 12 – 8 – 4 – 0 – – 100 – 90 – 80 – 70 – 60 – 50 – 40 – 30 – 20 – 10 – 0 Frequency of Defects Label Fill Mix Seal Cumulative Percentage of Defects 100% 90% 78% 48% Figure 4.16 – Pareto Chart Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.

50 Copyright © 2010 Pearson Education, Inc. Publishing as Prentice Hall.


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