PROPOSED SYNTHETIC AND GROUP RUNS CONTROL CHARTS BASED
ON RUNS RULES Xbar AND DOUBLE
SAMPLING np METHODS
ABSTRACT
A control chart is an important tool to monitor one or
more quality characteristics of interest in a production process. The classical
Shewhart Xbar control chart is the most widely used variables
control chart in manufacturing and service industries to monitor the mean of a
process with continuous data, due to its simplicity to shop floor personnel. The
Shewhart Xbar control chart is very effective for detecting
large shifts in the process mean. However, the Shewhart Xbar chart is insensitive to small and moderate mean shifts.
This is a major disadvantage of the Shewhart Xbar chart. Runs rules are commonly used to
increase the sensitivity of the classical Shewhart Xbar chart for detecting small and moderate process
mean shifts. A more recent and efficient runs rule is the revised m-of-k (R-m/k) runs rule
scheme for continuous data. On the other hand, in process monitoring involving
attribute data, the double sampling (DS) np control chart is an effective chart
to detect small and moderate shifts in the fraction of nonconforming items from
a process. Motivated by the need to improve performance of existing charts, we
incorporate the synthetic and group runs (GR) control charting procedure into
the R-m/k runs rule
scheme and DS np chart. The main objective of this thesis is to propose four
new optimal designs of control charts by minimizing the out-of-control average run
length (ARL1) of (i) the synthetic R-m/k runs rule Xbar chart, (ii) the GR R-m/k runs rule Xbar chart, (iii)
the synthetic DS np chart, and (iv) the GR DS np
chart. The ARL1 results of the optimal charts show that the new
charts perform better than their basic counterparts while having comparable
performance with some existing charts. In addition, optimization programs for
the four proposed charts are provided in this thesis. These optimization
programs enable practitioners to compute the optimal charting parameters instantaneously,
for use in process monitoring.
P.S. This is the abstract of my Ph.D thesis, and it is suitable to be use as an example for abstract in academic or scientific paper, i.e. conference proceedings, journals, excerpt, final year projects, and thesis. A good abstract should be
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1. A precise and concise summary/overview (single paragraph without footnotes, around 150 to 250 words) of your work, which include brief introduction, the significance/strength of your work, the research method used, research finidings, and conclusion.
2. By looking at your abstract, readers can get a clear picture of what you have accomplished in your work.
3. Do not include mathematical formulae, equations, tables, or figures in your abstract, citation in abstract should be used in caution and only use it when your research is a major extension of the journal you cited.
#Abstract example for final year project
#Abstract example for journal
#Abstract example for thesis
#Sample of abstract
#How to write a good abstract