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The Cp and Cpk are well known capability indices commonly used to ensure that a process spread is as small as possible compared to the tolerance<\/a> interval (Cp), or that it stays well within specifications (Cpk).<\/p>\n

Definition of Cp and Cpk Values<\/h2>\n
Cp is a measure of a process\u2019s ability to meet a specification. The formula for calculating Cp is as follows.<\/p>\n
\n
Cp = (USL \u2013 LSL) \/ 6\u03c3<\/li>\n<\/ul>\n
Where USL is \u201cUpper specification limit\u201d and LSL is \u201cLower specification limit\u201d<\/p>\n
The Cpk index is the position of the total process variation (6\u03c3) in relation to the specification mean. The Cpk associated with the process or a group of items is either the value for Cpu or Cpl, whichever calculation results in the smallest number. The Cpu index is the position of the total process variation (6\u03c3) in the relation to the upper specification limit. The Cpl index is the position of the total process variation (6\u03c3) in relation to the lower specification limit. The following equations define Cpu and Cpl.<\/p>\n
\n
C<\/em>pu = (USL \u2013 Process Mean) \/ (3\u03c3)<\/li>\n
C<\/em>pl = (Process Mean \u2013 LSL) \/ (3\u03c3)<\/li>\n<\/ul>\n
Under the method of quality acceptance that is currently used by most organizations, the customer determines the requirements for an item and sets up the specified limits within whish an object must fall to be acceptable. Anything falling within the specified limits is considered safe; anything falling outside the limit is bad.<\/p>\n
A process capability study involves taking periodic samples from the process under controlled conditions and determining the sample mean and standard deviation. At this point, calculating the Cp and Cpk\u00a0values will tell you what the yield for the process should be minus the effect of any assignable causes. Comparing the actual return for a process to the expected yield will show how much opportunity for improvement<\/a> exists in the process.<\/p>\n
The key to identification and removal of these assignable causes is careful documentation of the process and any changes that are made to it. Probably the best way to begin reducing the total error present in the process is by listing all sources of error on a Pareto<\/a> chart starting with those that have the greatest influence on the process. By ranking the sources of error, you will be able to achieve the largest amount of improvement by concentrating on those problems which are most vital. In Pareto terms, it is the \u201cvital few\u201d (20 percent) of the variables that account for 80 percent of the total process error. Whereas the other sources of error are among the \u201ctrivial many\u201d (80 percent) of the variables that make up only 20 percent of the total process error.<\/p>\n
When designing a new product or process, the goal is to ensure that the process is capable of consistently producing products that meet or exceed the specification requirements. The emphasis is on defect prevention, not detection. The benefits for the manufacturer of designing a highly capable process include higher yields, fewer defects, lower rework cost and less inspection time. The benefits to the customer include better incoming quality levels, less review time and the ability to implement dock to stock or just in time (JIT)<\/a> delivery procedures.<\/p>\n<\/div>
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