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Spring 2013
Master of Business Administration- MBA Semester 3
QM 0012- Statistical Process Control – 4 Credits
(Book ID – B1242)
Assignment Set – 1 (60 Marks)
Note: Assignment Set -1 must be written within 6-8 pages. Answer all questions.
Q1.a. Explain the meaning and concept of process with an example.
Answer : The first step of process definition is to identify the boundaries. This is where the process begins and ends. The beginning of a process starts with a trigger that causes a specific action to be taken by a person, another process, or work group. The ending occurs when the results get passed on to another person, process, or work group.
The beginning trigger starts when someone performs an action on an input that they receive from a supplier (another work group, vendor, or person).
b. What is meant by “SIPOC”? Explain. 5 +5 = 10 marks (200 – 250 words each)
Answer : In process improvement, a SIPOC (sometimes COPIS) is a tool that summarizes the inputs and outputs of one or more processes in table form. The acronym SIPOC stands for suppliers, inputs, process, outputs, and customers which form the columns of the table.[1][2] It was in use at least as early as the Total Quality Management programs of the late
Q2.a. What is Cumulative Sum Control (Cusum) Chart? Explain the construction of Cumulative Sum Control Charts in brief.
Answer : CUSUM charts, while not as intuitive and simple to operate as Shewhart charts, have been shown to be more efficient in detecting small shifts in the mean of a process. In particular, analyzing ARL’s for CUSUM control charts shows that they are better than Shewhart control charts when it is desired to detect shifts in the mean that are 2 sigma or less.
CUSUM works as follows: Let us collect m
b. What is a factorial experiment? Explain with an example.5 +5 = 10 marks(200 – 250 words each)
Answer : In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or “levels”, and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design. Such an experiment allows studying the effect of each factor on the response variable, as well as the effects of
Q3.Mention the different types of control charts. Explain with an example how to calculate p Chart and np Chart. 10 marks(3((350-400 words)
Answer : The most basic type of control chart, the individuals chart, is often used for all types of data. Yet often more specialized types of control charts can provide more valuable information about process performance, data
Q4.Explain Multivariate Control Charts and multivariate normal distribution.10 marks(350-400 words)
Answer : Multivariate control charts and Hotel ling’s T 2 statistic
It is a fact of life that most data are naturally multivariate. Hostelling in 1947 introduced a statistic which uniquely lends itself to plotting multivariate observations. This statistic, appropriately named Hotel ling’s T 2, is a scalar that combines information from the dispersion and mean of several variables. Due to the fact that computations are laborious and fairly complex and require some knowledge of matrix algebra, acceptance of multivariate control charts by industry was slow and hesitant.
Q5.a. Explain the concept of Process Capability. Give the Significance of Process Capability.
Answer : Process Capability
The capability of a process is some measure of the proportion of in-specification items the process produces when it is in a state of statistical control.
Process Capability vs. Batch Performance
Process capability is different than batch performance. With batch performance, you are interested in what actually was produced. With process capability, you are interested in what the process is capable of producing when in statistical
b. Explain the Quality Indices for Acceptance Sampling Plans.5 +5 = 10 marks(200 – 250 words each)
Answer : Acceptance sampling uses statistical sampling to determine whether to accept or reject a production lot of material. It has been a common quality control technique used in industry and particularly the military for contracts and procurement. It is usually done as products leave the factory, or in some cases even within the factory. Most often a producer supplies a consumer a number of items and decision to accept or reject the lot is made by determining the number of defective items in a sample from the lot. The lot is
Q6.Explain the methodology for SPC implementation.10 marks(350-400 words)Spring 2013
Answer : Current consumer markets experience an ever-increasing demand for high quality products and services at low costs. It is therefore logical that if a company wishes to be competitive in the modern market place, one of its main aims should be to focus upon producing products/processes of a consistently high quality. Total Quality Management (TQM) is a broad management philosophy used within the organizations with the aim o
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