Statistical process capability is a method used for quality control in an institution through statistical methods. It is applied for the purpose of monitoring and controlling the business operation to ensure the full satisfaction of customers.in business. The process capability process is also exercised so as to meet certain specification by producing results (Ahmad, Aslam & Jun 2014). The relevance of any ability in an institution can be tied to given specific metrics and outcomes, and this assists the organization in implementing how they connect to deliver desired results for the benefits of customers satisfaction.
The given assignment requires us to solve the problem by calculating the process capability for the waiting time for a table and the waiting time to be served food once an order is placed. Cp, Cpk, Cpu and Cpl are the four top index measures that are used in process capability, Cp is a quantitative expression that gives variability in its natural limits towards customers specification, and its the most efficient for this task (Hindle & Konolfingen, 2016). The formula below is used to calculating the process capability of both times to wait for a table and for the time to wait for food whereby, USL is the upper specification limit, and LSL is the lower specification limit. 981075217170USL - LSL
0USL - LSL
9810751492256 x std.Dev
06 x std.Dev
First, we can calculate the process capability for waiting time for the table, Cp (table) = (27-23)/(8.5x6) = 0.0784 and that is the capability process for waiting time for the table. It is possible to calculate the time to wait for the food while applying the same formula, Cp (food) = (21.5 - 15.5)/(2x6)=0.5. It is evident after the calculation that the process capability for both waiting time for the table and the waiting time for the food to be served is 0.0784 and 0.5 respectively. The process capability does not have a standard unit.
Statistical process control can be organized into two phases; generally, the first stage comes when the process is established and the second phase comes in when the process is initiated to be used for the purpose of the specification. The decision concerning the operation is made in reference to workforce, the materials available and the method that is preferred while exercising the process (Hindle & Konolfingen, 2016). The importance of the process of capability is that the problem at hand is early detected and prevention measures are placed rather than correction after the problem occurs.
For the case of the John and Mario, the results according to the calculations for both the time to get a table and the food to be served was below 1. When the process capabilities is less than 1 this is a clear indication that the capability process spread is much greater than the specification limits (Fang, 2016). It is the duty of John and Mario to focus more on time to get the table and to ensure that the time for waiting for the table to be improved since it records a low Cp value of 0.0784. Also, their attention should be drawn towards improving the time for food to be served.
The key use of process capability highly depends on the level of the users understanding of what the measures represent. Statistical process capability is exercised to reduce or rather eliminate process waste and fulfill the satisfaction of the customer (Fang, 2016). The success of the general process does not only rely on the skills employed but also the suitability and effectiveness of the process. Henceforth it is proof that at different occasion the process does not readily meet the specification, but it is right to say it is relatively well centered
Ahmad, L., Aslam, M., & Jun, C. H. (2014). Designing of X-bar control charts based on process capability index using repetitive sampling. Transactions of the Institute of Measurement and Control, 36(3), 367-374.
Gildeh, B. S., Iziy, A., & Ghasempour, B. (2014). ESTIMATION OF C pmk PROCESS CAPABILITY INDEX BASED ON BOOTSTRAP METHOD FOR WEIBULL DISTRIBUTION: A CASE STUDY. International journal for quality research, 8(2).
Fang, M. M. (2016). Integrating precision machining process capability data into product feature design process.
Heizer, R., & Barry, R. (2013). Operation Management, Sustainability and Supply Chain management (Vol. 11). Pearson, UK.
Hindle, S., & Konolfingen, N. P. (2016). How many data for process capability?.
Qiu, P. (2013). Introduction to statistical process control. CRC Press.
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