Analysis of the quality control problems using the WinQSB software product.
Hamat, Codruta Oana ; Amariei, Olga Ioana ; Dumitrescu, Constantin Dan 等
1. INTRODUCTION
The industrial development has generated the necessity that, in the
manufacturing systems, the information and data collected about quality
should be accessible to the decision makers, with the possibility of
co-ordinating the actions of different compartments of the company, so
that the information could contribute to the identification and
elimination of the causes provoking defects.
These conditions imposed, as appropriate methodology for obtaining,
processing and analysing quality information from the industrial
processes, the grounding of the quality control on methods of
mathematical statistics.
A cause of the more difficult affirmation of the statistic control
in the industrial practice was represented by the fact that the
abundance of the statistic methods presented in the literature
accessible to the industrial management was not accompanied by examples
of applications (Hamat, 2003).
Consequently, the purpose of this paper is to present the
possibility of using a software product, i.e. WinQSB, which allows the
solving of the quality control problems simulation.
2. PRESENTING THE PROBLEM
A factory produces pistons. The Quality Control Service intends to
introduce the statistic control, and in this respect one removed from
the manufacturing process, every 4 hours, samples made of n = 5 pieces.
The quality characteristic is the diameter of the pistons, corresponding
to the value of 76.12 [+ or -] 0.05 mm. The data collected are
introduced in a table (figure 1).
For each problem of quality control, the module predefines a set of
14 rules, which can be modified using the options of the Edit menu.
The Quality Control Chart module of the WinQSB software provides 21
types of graphs for variable data, 15 types of graphs for attributive data, histograms, Pareto analysis, curves of the operational
characteristics etc (Mihalca et al., 2003).
For this type of problem we may apply the statistic control, using
the arithmetic mean and amplitude method. The arithmetic mean measures
the stability in time of the process adjustment, while the amplitude
measures the stability precision in time of the manufacturing process
(Olaru, 1999).
We first perform a statistic analysis (average values, median,
dispersion, maximum and minimum values within the group) of the recorded
data, by sub-groups and on the whole. The results obtained are shown in
figure 2.
[FIGURE 1 OMITTED]
[FIGURE 2 OMITTED]
We continue the analysis with the elaboration of certain
representative graphs, available in the Gallery menu, first the control
charts for the data obtained "through measurement" which can
by of several types: control charts for means (X charts--figure 3),
control charts for amplitude (R charts- figure 5) and control charts for
the sample standard (Axinte, 2007).
[FIGURE 3 OMITTED]
We remark in figure 3 that sample 4 is below the inferior limit of
76.1032. We can obtain more information about this sample by making
appeal to the Analysis option--Individual Point, in a window of the type
shown figure 4. We notice that the average / mean of this subgroup is
not under control, because it violates the rules number 2 and 14 in the
rules table offered by the software.
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
The CUSUM graph for average / mean values--CUSUM Chart for Mean,
presenting the dispersion of the average dispersion from the central
average / mean and we verify if from this viewpoint the values fall
within the normal limits. The graph is presented in figure 6, where we
remark that all the points are represented in green, and consequently
there are no uncontrolled values.
This type of graph is one of the several different modes provided
by the product for the verification of the compliance of values with the
normal limits (Amariei et al., 2008).
[FIGURE 6 OMITTED]
3. CONCLUSION
From the analysis of the graph corresponding to the mean variation
it results that the sample number 4 recorded on 03.07.2008, 16:00 hours,
is not under control, and thus we consider that the manufacturing
process has not been adjusted appropriately. Moreover, all the other
points are situated between the superior and the inferior limit, but we
remark a rather large dispersion of the process.
Analysing the graph corresponding to the amplitude variation
results that all the points are situated below the superior control
limit, indicating the fact that the process provides the necessary
precision.
In the present situation, the manufacturing process is considered
inappropriate. We must analyse the causes having triggered deviations of
the adjustment, using the cause-effect diagram. In order to bring the
manufacturing process to the normal operation condition, corrective
actions are initiated and implemented, actions meant to eliminate the
causes generating defects, after which the statistic control is
continued.
4. REFERENCES
Amariei, O.I., Dumitrescu, C. D., Gillich N., Hamat, C., Malos,
C.R.(2008). Optimizing a manufacturing system after analysis of
Extend[TM] and WinQSB simulation environment, 2008 IEEE International
Conference on Automation, Quality and Testing, Robotics AQTR 2008--THETA
16th edition--May 22-25, ISBN 1-4244-2577-8, 2008 Cluj-Napoca, Romania,
Axinte, E. (2007). Elements of quality insurance in industrial
engineering, Demiurg Editorial House, Iasi
Hamat, C.O. (2003). Quality Management, Orizonturi Universitare
Publishing House, Timisoara, ISBN 973-638-047-5
Mihalca, R; Fabian, C (2003). The use of the software
products--Word, Excel, PMT, WinQSB, Systat, ASE Publishing House,
Bucharest ISBN 973-594-320-4
Olaru, M. (1999). Quality Management, ASE Publishing House,
Bucharest, ISBN 973-946-202-2