Impact of human factors and errors for product quality and reliability in the integrated approach of product and process design, maintenance and production/Zmogaus veiksniu ir klaidu itaka gamybos kokybei ir patikimumui, taikant integruota gaminio bei proceso, technines prieziuros ir gamybos kurimo metoda.
Bargelis, Algirdas ; Cikotiene, Dalia ; Ramonas, Zenonas 等
1. Introduction
Global manufacturing (GM) environment may be characterized by two
main parameters: high level of competition and economy of labor. New
product developers, producers, suppliers and customers are located apart
within great distances. At the beginning of GM era, a lot of industrial
production moved from the USA, Western Europe, Australia, and Japan to
developing countries in South-East Asia and Eastern Europe, while in
many industrialized nations the hollowing phenomenon of the
manufacturing section is observed. A hollow company undertakes itself
the functions of marketing, new product and process development, and
production delivery to the customer. Strong relations, therefore, exist
among customers, developers and producers of an end product or its parts
and components [1]. The competiveness in product and process design,
manufacturing cost, quality and delivery time is the main index of
successful co-operation of such activity kind. Essential weakness of
most products' producers is the fact, that when reducing
manufacturing cost then requirements for quality are not fully realized,
terms of usage and all the functional possibilities are not used well.
Many end products' producers increasingly pressure the parts and
components suppliers to decrease the manufacturing cost, yet have less
security of supply and control of production. On the other hand, the
manufacturing process maintenance and production itself is the
systematical constituent together with product and process design. All
four segments of mentioned different activity influence equally to the
end quality and reliability of product and the humans' errors play
a leading role in recited processes.
The integrated design of new product and its components together
with manufacturing process at the early development stage applying
concurrent engineering and innovative virtual reality methods, models
and tools would be the way achieving required quality and reliability
tasks of the end product. The integration of the product-process design
in the development of a manufacturing system is emphasized in research
[2] which had developed a virtual model for the production system design
based on technical and temporal data such as work sequences, operations,
components and product delivery time, and production resources.
Minimizing manufacturing and quality cost is a risk to incur the process
capability. An intelligent interfacing module of process capability
between the product and process design systems in virtual prototyping
environment is developed on the basis of the knowledge acquired at
different organizations involved in new product and process development
[3]. This research considers contradictions both in product design
procedure when seeking its best performance and in the principles of
design for assembling (DFA) and design for manufacturability (DFM),
whereas, when facilitating the product assembling process, the
fabrication process of product parts becomes more complicated. When
product and process design is completed, assessing performance risk is
checked by a simulation-based model [4]. Applying this model product and
manufacturing process design could be limited by human factors and
errors that have the following influence to the product quality and
reliability in the next operation stages as maintenance and production.
Assessment of human error in maintenance requires identification of the
contributing factors that lead to quantification of human errors [5].
These factors are called human error inducing factors, which take into
consideration both the active and latent error contributing aspects
related to man, machine and environment. Product defect rate confidence
bound with attribute and variable data in production line or cell
evaluates the production process quality in industry being a last
product evaluation and checking step. There are some methods for product
defect rate evaluation [6]--bootstrap methodology to construct a upper
confidence bound for the overall defect rate of a product whose quality
assessment involve multiply pass/fail binary data and multiple
continuous data. The technological scenarios of variation transmission
in multistage machining processes [7] consider the possibility of
variation reduction in key characteristics at the final production
stage. It enables the understanding how variation is added and
transmitted across the process stages; it helps to know and to identify
the opportunities to reduce variation in key product characteristics at
the final stage [8].
The main objective of this paper is to develop an integrated
approach to achieve the least manufacturing cost and delivery time to
the customer applying concurrent development of product and process
keeping the onward end of the maintenance and production process. In
this paper, the belief and plausibility computations and forecasting
according to the evidence theory for classifying product and its parts
failures are also carried out to highlight the capabilities of
manufacturing system aiming the lowest cost and highest quality and
reliability.
2. Acquisition and evaluation of engineer knowledge and creativity
for product quality and reliability
Getting the right product at the right time to the customer is the
main goal of every manufacturer for survival in marketplaces [9].
Competitive business priorities according to the opinion of most leading
manufacturers are production cost, quality, flexibility, dependability
and innovativeness. Quality and reliability of a product can be ensured
only in the case, when it is foreseen and considered at the early
product development and design stage. In this stage product properties
and characteristics must be estimated and optimized interacting
integrated product and process design with maintenance and production
procedures.
Engineers and scientists participating in new product and process
development tend to acquire a necessary knowledge and information
related with appropriate engineering field as mechanical, electronical,
informatical and so on. The development situation of innovative products
is changed during past two-three decades because they became very
complicated using knowledge and data of cross-disciplines area, i.e.
contemporary product consists of all available components and parts
involving above mentioned technical fields. Following this the
developers of new products in nowadays must be able to work and make
expertise in cross-discipline areas of their ideas and proposals.
The four fields of new product and process development at the early
stage have been examined and checked in this research: 1) product
design, 2) process design, 3) manufacturing process maintenance and 4)
production and testing. All these jobs must be integrated in one entire
and extremely made at the early design stage in virtual environment. The
virtual reality methods and tools [10] are applied starting with
development of product and process properties, characteristics,
structure and manufacturing maintenance and production. The interactions
among these fields and appropriate interfaces have to be created and
used in particular applying rapid prototyping technique. Project manager
has to foreseen objective and all tasks in the integrated development
chain looking the end product quality and reliability.
In general the human knowledge at one or another field is
classified into two groups [11]: 1) evolutionary infallible knowledge
(EIK) and 2) reliable knowledge (RK). The intersection of EIK and RK
represents infallible knowledge (IK); the knowledge of engineer or
scientist involved in innovative product and process development
generally mutates from EIK level to the IK sufficient level through
scientific heuristic and specific engineering field knowledge
acquisition and ignorance some knowledge and expertise of other experts.
In the worst case IK = 0% while in the best case IK = 80% or even more.
The IK level depends on the engineer or scientist skill, experience in
field and working with minimum errors. Based on this representation, two
primary types of ignorance can be identified: 1) ignorance within the
knowledge base RK due to factors such as irrelevance, and 2) ignorance
outside the knowledge base due to unknown objects, interactions,
consistent patterns, and know-how.
New product and process design may come from external or internal
sources [12]. External forcing for a new product may be due to an order
from a customer, obsolescence of an existing product, availability of
new technologies and change in market demands. Internal sources of new
product ideas may come from new discoveries and developments within the
organization as the need for a product identified by the marketing
department. The stimulating of collaborative activity among various
manufacturing and business people can help generating the new ideas for
products and processes. A designer in general case uses trial-and-error
method solving contradictions between new product performance and
customer requirements. This approach needs adding resources and gives a
bigger risk for product and process design errors. The production of new
products' patterns and their thorough consideration and testing of
properties and performance functions for clarification of errors and
defects is necessary. The unnoticed design errors come to production
process and finally products become non-quality. It is a long way,
unfortunately, and new means of product and process development must be
applied. One of the possibilities would be systematic work,
clarification of contradictions among customers and developers,
acquisition of knowledge and good practice, creation of knowledge base
for new product and process development [13]. Another way could be
statistics acquisition and analysis of new product and process, and
application of the evidence theory calculating belief measure and
plausibility measure for classifying product nonquality in accordance
with the influence of product and process designer errors, maintenance
errors and production errors [14].
Human factors and errors are one of the main reasons of non-quality
product. These factors and errors can occur when humans are not
sufficiently competitive, motivated and skilled in their work. There are
main reasons, when employees are poorly trained in their area of
responsibilities and duties, also when they are not motivated to do one
or other job in the best way and salary is not related with the final
job results, and when they do not feel social guaranties from the
employer's organization. Human errors often upstart when employees
are tired, when enforcement at the work is over their psycho
physiological and physical possibilities.
Improvements of product and process quality and reliability must be
implemented in all product life cycle phases beginning from the product
concept formulation, validation, full scale development, maintenance,
production and use, because they lead to product value enhance and lower
manufacturing costs, and the qualitative product does not need to be
repaired, corrected, and don't delays in delivery. When the cost is
lower, productivity can be increased and manufacturer can cover a bigger
part of the market and achieve more customers and bigger profit.
Application theory of evidence and calculating the belief measure and
plausibility measure for classifying product non-quality index in
accordance with the influence of product and process design errors,
maintenance and production errors is implemented in this research.
Evidence theory aims to evaluate the confidence of an expert
infallible knowledge IK in the truth of the possibilities that are
envisaged. The evaluation is summarized by a belief function for each
four fields of above mentioned activities seeking product and process
quality and reliability. It expresses belief in the hypotheses
entertained by an expert. Evidence theory has the ability to express
directly the uncertain information and knowledge. It allows expert to
endow the probability in a single element or some elements affecting
together. It is stated that product and process performance, quality and
reliability ensuring, manufacturing cost reduction and work productivity
improvement are the main tasks of surviving in Global manufacturing
environment.
Forecasting methods for non-quality product reasons and its
evaluation are created using statistical analysis and evidence theory.
Evidence theory is a branch of the mathematics of uncertain reasoning
that allows for novel possibilities to be conceived by a decision-maker.
Data for these methods were gained from experiments and were calculated
using parameter functions. Experimental research was performed directly
studying and researching products and processes design, maintenance of
manufacturing processes, used technologies, facilities and operations of
product's parts and assembled product itself.
The evidence theory is used in this research for classifying of
non-quality product. The underlying monotone measures for this theory
are the belief measure (Bel) and plausibility measure (Pl). The belief
measure should be defined on a universal set X (in this research RK) as
a function that maps the power set of X to range [0, 1] of every
considered field the infallible knowledge IK:
Bel: [P.sub.x] [right arrow] [0, 1], (1)
where [P.sub.X] is a set of all subsets of X and is called the
power set of X. The power set has [2.sup.[x]] subsets in it.
The belief function has to meet the following conditions:
Bel ([empty set]) = 0; (2)
Bel (X ) = 1. (3)
Bel and P1 functions satisfy the following condition:
Pl(L [greater than or equal to] Bel (L), (4)
for each L in the power set of the infallible knowledge IK.
In order to obtain a high quality product, the main factor for the
design and manufacturing of a quality product and manufacturing process
must be chosen and valued. These factors can be characterized:
m: [P.sub.x] [right arrow] [0,1]. (5)
This equation must satisfy the following conditions:
m ([empty set]) =0; (6)
[summation over (allL[member of][P.sub.X]] m(L) = 1. (7)
The belief measure Bel and plausibility measure Pl can be computed
according to a particular basic assignment m:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]; (8)
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. (9)
The three functions Bel, Pl and m can be viewed as alternative
representations of the same information or evidence regarding to the
element x. the basic assignment m for [L.sub.i] [member of] [P.sub.x]
can be computed according to the belief function as follows:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (10)
where [absolute value of ([L.sub.i] - [L.sub.j]) is the cardinality
of the difference between the two sets.
Basic assignments [m.sub.1] and [m.sub.2] produced by two experts
on the same element and family of sets of interest can be combined using
Dempster's rule [8] of combination to obtain a combined pinion
[m.sub.1, 2] as follows:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (11)
where [L.sup.i] must be nonempty set, and [m.sub.1, 2]([empty set])
= 0. The term [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a
normalization factor.
The developed research has been tested both in laboratory and
industry. The verification and validation tests for the developed
approach applying better integrated product and process development with
maintenance and production procedure in virtual reality environment have
been conducted at the laboratory. Large Lithuanian company took a part
performing the acceptance tests of that approach. The sub-chapter
"Case study" illustrates how the developed approach works and
some available results from its activity are presented.
3. Case study
The performed research is closely linked with the activity of a
large Lithuanian enterprise Y that produces bicycles. Peculiarity of
this enterprise is that bicycles are assembled, painted, tested and
validated in Lithuania, but most of the materials, parts and components
are purchased from suppliers located in various companies and countries
mostly outside of Lithuania. It produces now close to 80 various types
of bicycles including bicycles for children, urban and tourist and
mountain bicycles and even special bicycles for sport race. The yearly
output of bicycles at the enterprise is more than 350.000 units.
Enterprise Y has close 4-6 good developed products types, which produces
on a mass scale. Other types are made in batch or in small batch volumes
according to the customers' orders. Just after privatization of the
enterprise Y its owners launched incidentally search for the cheapest
alternatives of manufacturing processes and cost. The make-or-buy
decision has been applied outsourcing production to low cost sites. The
problem of quality and reliability warranty, unfortunately, occurred
because of non reliable suppliers--the material or parts and components
for the bicycles not always satisfy quality requirements. Non-quality
parts from the suppliers had inadequate design and manufacturing
process, also quality control.
As things stand the shareholders of the company Y decided
systematically analyze non-quality and manufacturing cost problems and
initiated close collaboration with academia. The Centre of technological
tests at the Siauliai University was established for well-rounded
experiments of bicycles and their parts and components. All tests of
quality and reliability control are performed according to the
requirements of appropriate standards. Tests are accomplished on more
responsible parts of bicycles from every supply lot of products. These
tests showed which parts, sections, assembling units and so on are
improper and where risk of breaking can appear. List of the main bicycle
parts, tested on initial analysis stage, is illustrated in Table 1. The
only weakest data is presented in this table. Parts of bicycles, which
didn't break during the tests detected that these parts are
substantial, reliable and quality is quite enough.
According to the tests' results presented in Table 1 weakest
parts of the bicycle are brakes and carriers. Of course, brakes of a
bicycle are more important part to ensure safety of bicyclist, but total
quality of the assembled bicycle depends on reliability and quality of
the brakes and carriers. Formerly both the end bicycle producer and
suppliers participated in product and process design applying
trial-and-error method and some near-miss solutions have been left.
Suppliers made production errors seeking the minimal manufacturing cost
because not enough investments for innovative technologies and a big
part of manual work have been used.
Summing-up the performed analysis it was stated that the main
reasons of non-quality and reliability product and failures for bicycle
manufacturing are:
1. Product design errors, when there are the human mistakes also
not enough competence in design procedure or choosing the best design
alternative for the product functionality, safety, quality, reliability
and manufacturing cost.
2. Manufacturing process design errors as wrongly planned
operations, facilities, tooling, work conditions, regimes and physical
properties.
3. Maintenance errors expressed by human mistakes implementing
robotic means and high productivity automatic machines, other initiative
and motivation of techniques decreasing manual work and quality in
company production lines and cells.
4. Production errors and defects as wrong materials, contravenes of
parts' dimensions and tolerances requirements in drawings,
geometrical form and other defects.
The methods of virtual reality environment and standard CAD
software have been used for integrated bicycle and its manufacturing
process development. It was decided to turn on systematic work going
from "trials and errors" approach and clarifying
contradictions among customers and suppliers and creating knowledge base
for new product and process development avoiding errors. All integrated
design functions of new bicycle and its components together with
maintenance and manufacturing procedure have been undertaken to the end
product producer. The developed integrated knowledge-based model in
virtual environment of innovative product and process design has been
applied at an early business engineering stage [16]. Product and its
components have been tested virtually and employing physical prototypes
at the early design stage. DFM and DFA methods concurrently have been
used [3] and the best product and process design alternatives have been
implemented. Special stands for laboratory and industrial testing and
validation of assembled bicycles and their components (frames, brakes
and carriers) have been developed and implemented.
Employing integrated design and testing procedures at the early
stage, weaknesses of the bicycle and its components have been set. The
special attention for the quality of braking and frame has been paid
designing both mentioned components, while for carrier design the
attention was paid for metal consumption decrease and welding
manufacturability. Generally, for brakes design lever transmissions with
the optimized transmission ratio and number of parts have been used.
Ratio of the transmission must be high, while the number of parts in
assembling unit must be low. Analysis of different lever constructions
exhibited that the most effective is "V-Brake" design--ratio
of the transmission for this design is the highest in comparison with
other lever design alternatives.
Next reasons of bicycle non-quality and reliability are human
factor and errors in the phases of process design, maintenance and
production. For evaluation of influence the every failure cause on the
quality of a bicycle, belief and plausibility measures for these
failures have been calculated. According to evidence theory belief
measure and plausibility measure have been set for the evaluation of
reasons the non-quality bicycle. Two experts have been asked to review
product and process design errors also errors of maintenance and
production phase and to provide the assignments of these causes. For the
first evaluation the person who is responsible for the total quality
management and the methodology of testing and validation in the bicycle
enterprise was chosen (Expert 1). Other expert (Expert 2) is the person,
responsible for bicycle tests in the Siauliai University Centre of
bicycles' technological tests. He is responsible for the
development of bicycle and its components design strategy including
maintenance and production phases.
Bicycle quality and reliability can be incurred due to the human
factors and errors of each above-mentioned cause. Each cause by two
experts is valued separately ([m.sub.1] and [m.sub.2]) and also rating
of two, three and all four reasons originating together is fulfilled.
Both experts evaluated the situation after implementation of systematic
work clarifying contradictions among customers and suppliers in
considered manufacturing system. The experts provided the assignments in
Tables 2 and 3 for D, C, H, E also D U C, D U H, D U E, C U H, C U E, H
U E, D U C U H, D U C U E, D U H U E, and C U H U E. The assignment for
D U C U H U E was computed based on Eq. (7) to obtain a total of one for
the assignments provided by each expert (Tables 2 and 3). Belief measure
Bel of non-quality bicycle depends on the reasons--if there are some
failure causes, the Bel will be higher. When all of the failure causes
affect interact together and the belief measure [m.sub.1] and Bel1 is
the biggest (Table 2) defined by Eq. (8).
The plausibility measure shows data reliability, so it must be as
high as possible. The plausibility measure defined by Eq. (9) for
non-qualitative bicycle is shown in Table 3.
The quality must be ensured in every step of creating the bicycle.
This means, that belief measure of nonqualitative product must be as low
as possible. In such case failure causes will decrease and quality of
the products will grow up. Experiments in bicycle enterprise Y showed
that bicycle and its components design applying systematic work is the
most effective, so it must be used for lesser product and process
design, maintenance and production error.
4. Implementation and further research
The developed approach and its separate parts are implemented in
industry of Lithuania. The implementation results in Large Company Y
have shown that the approach is able to apply seeking a systematical job
for increasing product and process quality and reliability. Systematical
job on the new technical and economical knowledge acquisition and
verification and close various specialists collaboration in
cross-discipline environment is grounded. On the other hand the product
quality and reliability with manufacturing cost and productivity is
contemporized, therefore, the strategical decisions looking cheapest
producer of different components on the methods of evidence theory could
be grounded. Application of the approach developed in this research
makes it possible to determine whether it is feasible to produce the
component in local factory or shifting it to low cost sites. It means
the ratio among component cost and quality has to be checked and
evaluated.
It is planned to develop a knowledge base (KB) for rules, facts and
regularities collecting the right decisions of product and process
development also using a best practice in maintenance and production
procedures. Above mentioned data must be evaluated and checked by
available risk employing them in virtual reality environment of product
and process design, maintenance and production phases. The research of
this paper is useful tool because shows availability of decision making
applying the methods of evidence theory avoiding influence of
humans' factors and errors seeking product and process quality and
reliability. For each product and process failure case, the case needs
to be classified in terms of causes and entered in the KB. Failure cases
have to be related with appropriate design features, materials and
manufacturing processes. The maintenance of new innovative machines and
processes in production and assembling lines and cells that could
decrease the manual work is foreseen in the future research.
5. Discussions and conclusions
The research in this paper showed that the main reasons of
non-quality and reliability product and its components are human
factors, errors and defects of product and process design, maintenance
and production procedure. Moreover, the interaction of different causes
above mentioned activities enhances the probability to occur the
non-quality product. The new product and process design is the essential
task of the manufacturing organization that defines other areas of its
activity and competitiveness. The integrated approach of product and
process development in virtual reality environment has been applied and
implemented in industry have increased the quality and reliability of
production. It has been stated that the developed of integrated
knowledge-based model is able to design innovative product and process
in virtual environment at the early business engineering stage of the
distributed manufacturing system. Belief measure and plausibility
measure of non-quality product when one or some failure and defect
causes of a product have been considered. The method that has been
described in this paper accomplishes the objective of this research. The
theoretical consumptions of this research have been checked and
confirmed in case study--Large Lithuanian Company Y that develops and
produces bicycles and their components.
Implication of this research with regard to close collaboration
between academia and industry and implementing virtual reality is that
an integrated product and process development with maintenance and
production procedures is substantial for product and its components
quality and reliability. This is illustrated and confirmed by bicycle
and its components design and the application of belief theory. The
experience of company employees and experts together with both
universities researchers' achievements and further collaboration
allow believing to achieve the constant enhance results of production
quality and reliability in the company.
crossref http://dx.doi.org/10.5755/j01.mech.20.1.5258
Acknowledgement
This paper is partially supported by the contract
Nr.11-133/06-26-D-96 of 2012 year between Siauliai University
Technological Testing Centre and industrial company.
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Algirdas Bargelis *, Dalia Cikotiene **, Zenonas Ramonas **
* Kaunas University of Technology, Kestucio 27, 44321, Kaunas,
Lithuania, E-mail: algirdas.bargelis@ktu.lt
** Siauliai University, Vilniaus 141, 76285, Siauliai, Lithuania,
E-mail: dalia@tf.su.lt, zenonas@tf.su.lt
Table 1
List of tests with bicycle parts and assembled products
Number of Below
Name of test tests standards
Frame fatigue tests 122 2
Tests of brakes 63 31
Dynamics tests of pedals 12 2
Dynamics tests of wheels 57 3
Tests of saddle fatigue 14 1
Dynamics tests of carriers 28 18
Tests of front fork 65 4
Table 2
Belief measure Bel of the non-qualitative bicycle
Subset Expert 1
Failure cause Notation [m.sub.1] [Bel.sub.1]
D--Product designer error D 0.01 0.01
C--Process designer error C 0.01 0.01
H--Maintenance error H 0.02 0.02
E--Production error E 0.02 0.02
D U C DC 0.05 0.07
D U H DH 0.05 0.08
D U E DE 0.05 0.08
C U H CH 0.05 0.08
C U E CE 0.06 0.09
H U E HE 0.06 0.10
D U C U H DCH 0.08 0.27
D U C U E DCE 0.08 0.28
D U H U E DHE 0.07 0.28
C U H U E CHE 0.07 0.29
D U C U H U E DCHE 0.32 1
Subset Expert 2
Failure cause [m.sub.2] [Bel.sub.2]
D--Product designer error 0.02 0.02
C--Process designer error 0.02 0.02
H--Maintenance error 0.03 0.03
E--Production error 0.01 0.01
D U C 0.06 0.10
D U H 0.06 0.11
D U E 0.06 0.09
C U H 0.06 0.11
C U E 0.06 0.09
H U E 0.06 0.10
D U C U H 0.08 0.33
D U C U E 0.08 0.31
D U H U E 0.08 0.32
C U H U E 0.08 0.32
D U C U H U E 0.24 1
Subset Combined judgment
Failure cause [m.sub.1,2] [Bel.sub.1,2]
D--Product designer error 0.069 0.069
C--Process designer error 0.071 0.071
H--Maintenance error 0.085 0.085
E--Production error 0.072 0.072
D U C 0.069 0.208
D U H 0.067 0.220
D U E 0.067 0.207
C U H 0.067 0.223
C U E 0.072 0.215
H U E 0.070 0.227
D U C U H 0.054 0.481
D U C U E 0.054 0.473
D U H U E 0.051 0.481
C U H U E 0.051 0.488
D U C U H U E 0.081 1
Table 3
Objective Plausibility measure Pl of the non-qualitative bicycle
Subset Expert 1
Failure cause Notation [m.sub.1] [Pl.sub.1]
D--Product designer error D 0.01 0.71
C--Process designer error C 0.01 0.71
H--Maintenance error H 0.02 0.70
E--Production error E 0.02 0.72
D U C DC 0.05 0.90
D U H DH 0.05 0.90
D U E DE 0.06 0.92
C U H CH 0.05 0.91
C U E CE 0.07 0.92
H U E HE 0.06 0.93
D U C U H DCH 0.09 0.98
D U C U E DCE 0.08 0.98
D U H U E DHE 0.07 0.99
C U H U E CHE 0.06 0.99
D U C U H U E DCHE 0.30 1
Subset Expert 2
Failure cause [m.sub.2] [Pl.sub.2]
D--Product designer error 0.02 0.67
C--Process designer error 0.02 0.68
H--Maintenance error 0.03 0.68
E--Production error 0.01 0.68
D U C 0.06 0.90
D U H 0.07 0.90
D U E 0.06 0.89
C U H 0.06 0.91
C U E 0.07 0.88
H U E 0.06 0.90
D U C U H 0.06 0.99
D U C U E 0.08 0.97
D U H U E 0.07 0.98
C U H U E 0.08 0.98
D U C U H U E 0.25 1
Subset Combined judgment
Failure cause [m.sub.3] [Pl.sub.1,2]
D--Product designer error 0.07 0.51
C--Process designer error 0.07 0.51
H--Maintenance error 0.08 0.51
E--Production error 0.08 0.52
D U C 0.07 0.77
D U H 0.07 0.77
D U E 0.07 0.78
C U H 0.06 0.78
C U E 0.08 0.77
H U E 0.07 0.79
D U C U H 0.05 0.92
D U C U E 0.05 0.92
D U H U E 0.05 0.93
C U H U E 0.05 0.93
D U C U H U E 0.08 1