Statistical Process Control Activities in Daily Routine Essay

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Statistical Process Control

Activities in Daily Routine

Application of Statistical Process Control and Solving the Problem

(a) Statistical Process Control: X-bar Charts

(b) Weekly Morning Time Utilization Chart

Observations from the chart

Effect of Seasonal Factors

Seasonal Factors

Usefulness of Confidence Intervals

This paper is on process control of activities that happen on daily basis. Statistical Process Control (SPC) involves application of statistical methods and procedures (such as control charts) to analyze the inherent variability of a process or its outputs to achieve and maintain a state of statistical control, and to improve the capability, also called statistical quality control . (Business Dictionary, 2010). The total time taken from waking up till reaching the office after going through various chores is 85 minutes. The person wants to cut it down to 60 minutes. He thinks of foregoing his leisurely sipping of coffee and watching news for 20 minutes and substitute it with taking coffee in the car and listening to radio for news. That is a way a common man looks at the problem.

Sipping coffee in the car and listening to radio form for news is not the same as doing the same in comfort at home. So an alternate solution is to be chalked out. This is exactly where the Process Selection Control and design step in. Let us now see how the concept can be applied to the problem.

2. Application of Statistical Process Control and Solving the Problem

Details of total time spent on taking bath, getting ready, taking coffee and watching news and travel to office for six days in a week are given below.

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Day

Time Consumed (in min)

Monday

84

Tuesday

85

Wednesday

83

Thursday

87

Friday

86

Saturday

84

Average

84.83

(a) Statistical Process Control: X-bar Charts

Let us start by calculating the average for the data points.

Where

is the individual result and 'n' is the total number of results.

minutes.

Let us now calculate the upper control limit, UCL and lower control limit LCL.

UCL (calculated) =

LCL (calculated) =

Where

in which

is the Standard Deviation and the number of results.

The Standard Deviation

is given by,

minutes

Now,

minutes

We are applying 3-sigma system ("Statistical Process Control: Process and Quality Views," 2008) for the problem.

As such UCL and LCL are now,

UCL =

LCL =

Now let us draw the X-bar chart.

(b) Weekly Morning Time Utilization Chart

Average =84.83 minutes Standard Deviation =1.47 min

LCL=83.03 minutes UCL= 86.63 minutes

3. Observations from the Chart

(a)The daily utilization is mostly within UCL and LCL.

(b)Only one point lies slightly above the UCL.

(c.) The utilizations are equally using above and below average.

4. Conclusion

It is quite obvious from the above chart analysis that it is not possible to reduce the overall time below 83 minutes (LCL) even after cutting off daily deviations.

5. Solution

The only solution seems to be reducing the average utilization to 60 minutes and reduce the individual utilizations proportionately. The suggested utilization after proportionate reduction will be as shown in the table below.

Activity

Earlier Utilization

(in minutes)

Suggested Utilization

(in minutes)

Taking Shower

20

14

Watching news and drinking coffee

20

14

Changing and getting ready

30

21

Driving to.....

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