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Presented by:
Navjeet Singh
 An effective rail system depends on the seamless integration of
a number of complex systems. If one system fails, the whole
service can be severely affected.
 Reliability, availability, maintainability, and safety (R.A.M.S)
are seen as major contributors to the quality of railway service
and are well covered in the European standard EN 50126.
 This standard recognizes that railway safety and availability
are interlinked and are regarded as the most important
elements, and they can only be achieved if all the reliability
and maintainability requirements are achieved.
 The quality of railway service is not only influenced by the four
R.A.M.S elements, but also by operations, maintenance, and
other factors
 The word ‘reliability’ developed from the word ‘rely’, which is defined as a ‘sense
of dependence or trust and perhaps has a notion to fall back on’.
 It was first used as early as 1816 by the poet Samuel T. Coleridge, who wrote about
his friend who inspired everybody around him with “perfect consistency and
absolute reliability”.
 Since then the concept of reliability has become rather popular, and is used
extensively by the general public as well by the technical community.
 When used by the technical community, the context and interpretation of the word
becomes rather specific, and can deviate substantially from the popular meaning.
 There are divergent definitions of ‘reliability’; but one of the more appropriate
and recently-used definitions in the context of asset reliability is “the probability
that an item will perform its intended function for a specific interval under stated
conditions”.
 At first glance the definition seems to be self-explanatory, and
misinterpretation appears improbable; but stakeholders need to ensure
that the extent of intended function, the duration of the specific
interval, and the scope of stated conditions are well understood.
 Reliability analysis is a systematic approach to analyzing the reliability
of systems, identifying and accessing the frequency and causes of
failures, and controlling the consequence of failures.
 There are many reasons why reliability is important, such as reputation,
customer satisfaction, operation and maintenance cost, repeat
business, and competitive advantage.
 But from a maintenance point of view, reliability will contribute to
greater availability, which is particularly important in the context of
RAMS.
 As part of RAMS, availability is seen as one of the most important
reliability performance measures of maintained systems. It is defined
that the item must be “in a state to perform the required function under
given conditions…”.
 The importance of reliability and availability in the rail industry is best
described by Milutinovic, who quantifies the influence of reliability on
availability. Reliability and availability are often misinterpreted, and in
certain cases they are wrongly used as interchangeable terms.
 Reliability can be grouped into the reliability of equipment and the
reliability of people.
 Studies have been done on human factors that include the influence of
human reliability on systems.
 “Karanikas” concluded that human errors contribute to more
than three quarters of the failures during the life of an
asset, and added that “expecting to achieve perfection from
an imperfect human is unrealistic”.
 “Vanderhaegen” describes human behavioral degradation
when performing tasks, and system degradation due to
human actions.
 Without ignoring the importance of human reliability, in this
article the focus will be primarily on the reliability of
equipment, regardless of the cause of failure.
 As stated, reliability is important, but it should not be
pursued at any cost. Ultimately, the cost of reliability needs
to be weighed against the total combined operation and
downtime cost.
 Maintenance of industrial equipment is defined by “Pintelon and
Gelders” as “all activities necessary to restore equipment to, or keep
it in a specified operating condition”.
 The objective of maintenance is to maximize equipment availability
by improving the reliability of the system through scheduled
preventative maintenance, replacements, and inspections (PMRI).
 Asset-intensive organizations should recognize the importance of an
effective maintenance function.
 Sadly, however, in many organizations maintenance is seen as an
expense account and not as a value-adding process that is able to
increase reliability.
“Pham and Wang” realized that not all maintenance activities
improve the condition of an item, and categorized maintenance
according to the degree to which the operating conditions of an item
is restored. They defined the following types of maintenance:
 perfect maintenance, which restores the operating condition of
the system to as-good as-new;
 minimal maintenance, which leaves the condition as-bad-as-old;
 imperfect maintenance, which leaves the system somewhere
between the bad-as-old and good-as-new condition;
 worse maintenance, which causes a system failure rate or actual
age increases without breakdown;
 worst maintenance, which unintentionally causes a failure or
breakdown.
 Possible causes identified by “Pham and Wang” as ‘imperfect’,
‘worse’, or ‘worst’ maintenance include repairing the wrong
part, partially repairing the fault, replacing with faulty parts,
and human error.
 It was believed by traditional maintenance practitioners that
most failures of equipment were age-related, and a common
mistake was to use a single maintenance strategy for all
equipment.
 Failure models are often used to select the most appropriate
maintenance strategies, and most of the six traditional failure
curves for ageing equipment can be managed by periodic time-
based maintenance activities.
 Some failures, however, cannot be prevented even by applying
the best maintenance strategy, and these failures need to be
predicted using statistical methods. This approach forms the
focus of this article.
 Many studies have been done on railway reliability and its effects, such as
the relationship between reliability and productivity in railroad services,
the importance of railway reliability to convince drivers of passenger
vehicles to switch to public transport, the effect of unreliability on travel
time, overcrowding because of delays and its effect on the productivity
and efficiency of workers, and the effect of reliability on the availability
of the service.
 Railway reliability can be measured in different ways, such as the
punctuality of the service, cancellations and delays, and the number of
realized connections between trains.
 From a passenger perspective, the punctuality of the service is often
used as a reliability measure, defined as the probability that the train will
arrive at the final destination within a certain margin of the scheduled
arrival time.
 The average punctuality of some major European metro railroad
operators is around 95 per cent, where trains arrive at the final
destination within the international margin of five minutes, although
some operators use a three-minute margin and still manage a
punctuality of around 95per cent.
 In South Africa the punctuality of the Metrorail railway system was
84.5 per cent in 2011 based on five minutes, which leaves room for
improvement when compared with international benchmarks.
 Studies clearly show that reliability is important to railroad
companies, and the consequences of unreliability cannot be ignored.
 It is also clear that most reliability measures are based on the
performance of the rail service, and that they are lagging indicators
that cannot be related to the source of the unreliability.
 Lagging indicators show how well assets are managed, whereas leading
indicators are forward-looking and help to manage the performance of
an asset.
 Railway signaling system is a safety-related electronic system that is used
to ensure the safe operation of railway traffic.
 The railway signaling system is the key system to ensure the safe operation
of railway traffic.
 It is therefore important to have a safe and reliable railway signaling
system.
 The railway authority defines requirements that should be complied with.
 The technical safety report is a vital documentation for the demonstration
of fulfillment of requirements to the railway authority.
 One important part of this Safety Case is the technical safety report. The
technical safety report shall include technical evidence for the safety of
the design.
 The railway network is a complex and distributed system with
several technologies working together to fulfil the demands on
capacity, speed and mobility to transport goods and passengers.
 The railway system can be divided into different systems depending
on functionality, for example, the rolling stock, the track, the
power supply, the signaling system, etc.
 Railway signaling systems can be considered a group of complex
systems that together provide control, supervision and protection
of railway operation.
 When a failure occurs in the railway signaling system, other safety
mitigation measures are put into place to continue railway
operation, e.g. reduced speed, with the driver responsible for safe
operation.
 Briefly stated, failures of the railway signaling system affect both
the capacity and safety of the railway.
 A failure in a signaling system has economic consequences (penalties, high amount
of maintenance resources, etc.), can affect operation (delays, cancellations, speed
restrictions, etc.), and have safety consequences.
 With a failed signaling system, a driver will operate in a degraded mode, with
safety assured by other mitigation measures, such as low speed restrictions. The
possibility of operating in a degraded mode reduces the economic and operational
effects of a failure of the signaling systems, but makes it more difficult to evaluate
the railway operation, since a failure will not necessarily be visible when
considering the delays or cancelations, even though safety has been compromised.
 Furthermore, the probability of being operative in a degraded mode is not easily
measurable, as it is not directly linked to the number of failures and delays.
 Maintenance management of signaling systems is challenging, given the
amount of information needed to perform good preventive and
corrective maintenance.
 The lack of proper data can lead to incorrect failure identification,
which, in turn, means more time spent on corrective maintenance and
lower system availability.
 Maintenance support performance can be improved through configuration
management applied to the item structure or the organization providing
maintenance.
 The item structure takes care of the items that are part of the system;
meanwhile, the organization providing maintenance defines the structure
of the human resources that are needed to perform the maintenance.
 The presence of many different stakeholders running the
maintenance and operation aspects of the railway network requires
good knowledge transfer. Each stakeholder has different knowledge
and needs, but they all work on the same railway system.
 When maintenance activities are outsourced, there is a risk of losing
the knowledge required to perform these activities.
 It can be difficult to find a company with the required knowledge, or
to study the effects on maintenance of a change in the infrastructure
design.
 The knowledge transfer of best practices between different
stakeholders can provide benefits to all of them. Better efficiency of
maintenance activities can be achieved by taking advantage of the
available maintenance knowledge, thus contributing to time and
costs savings.
The methodology is now demonstrated by means of a case
study, where the reliability of rolling stock at Metrorail (a
subsidiary of the Passenger Rail Service of South Africa
(PRASA)) was modelled. Metrorail operates an ageing fleet of
trains, some in operation since 1958, and they
predominantly make use of cancellations and delays as
reliability measures for their fleet.
 Metrorail defines a motor coach (MC) as a powered rail vehicle
able to pull unpowered passenger trailers (PT) and also able to
transport passengers.
 A typical Metrorail train set consists of nine PTs and three MCs,
with an MC in the middle and at each end of the train set.
 The contribution of PTs towards the reliability of a train set is
insignificant compared with the contribution of the MCs.
 Thus, for the purpose of this article, the train set is
represented by three MCs only.
 An MC consists of various sub-systems, configured in series and
parallel.
Although the subsystems have several components, a basic model was
constructed demonstrating the interaction of four different sub-
systems. Although a risk analysis, based on the impact and probability
of occurrence, would have been more effective in identifying the
components within each sub-system, the approach in this study is to
construct a basic model where each sub-system is represented by a
single component. The reasons for specifically selecting these
components for the MC model are:
 each component is the main component in the respective sub-
system;
 the components are either an electric motor or driven by an
electric motor;
 these combined components contribute to more than 60 per cent of
cancellations and delays of rolling stock at Metrorail;
 these components are serialized, repaired by Metrorail, and the
failure data is available.
Detail of the selected components is listed in Table 3, where the number of components
required to survive in either an MC or a train set is indicated. The RBD of an MC is shown in
Figure 5, which show the inter-relationship of the components and the redundancy.
 Methods for the dependability and safety evaluation of railway
signaling systems4 Figure 1: RBD of a signaling system. The various
systems, such as track circuits or level crossings, provide input to
interlocking systems and radio block center systems (RBC).
Interlocking systems receive information, process it and make new
restrictions on system components.
 For example, they can provide information to onboard signaling
systems through the GSM-R system. The onboard signaling system is
composed of a centralized computer that processes the different
inputs, giving supervision during the train’s operation.
 An odometry system constantly measures the speed and acceleration
of the train. The balise antenna reads the information from the balises
placed on the track. The man-machine interface allows the driver to
interact with the onboard computer.
 Most of the components are connected in series on an MC with redundancy
only in the traction motors (TMs). The TMs are best described as a
balanced k-out-of-n system represented by a series-parallel system, where
each bogie on the MC is represented by two TMs in series. AN MC needs to
have at least two TMs operating in series, which means that the failure of
one TM will shut down the other TM on the same bogie.
 By making use of equations (1), (2) and with individual reliabilities for
each component, the reliability of the TM sub-system can be calculated as
where R=Reliability, R1=Reliability of TM1, R2 = Reliability of
TM2, etc.
 The RBD for a train set consisting of three MCs is shown in Figure 6. It can
be seen that more redundancy is present in this configuration than in a
single MC. The power generation, vacuum, and compressed air systems are
best described as k-out-of-n systems, where two out of three sub-systems
are required to be operational for the system to be functional.
 The data represents nearly 200 MCs of the 5M-type train. It was reported by
Metrorail that the data is incomplete, as the FMMS was not operating at times.
Thus the assumption is made that the available data represents the real situation.
 For the purpose of this article, three MCs were selected with the worst failure
data during the observation period.
 For the sake of simplicity, failure data was limited to the replacement of
components only – that is, perfect maintenance – ignoring any maintenance done in
between the replacements.
 All components have one or more truncated failure observations (also called
suspensions), where the last failure data points of the data set are not failures, but
merely the end or beginning of the observation period.
 Based on the results presented in this article, it can be
concluded that system reliability for rolling stock in the rail
environment can be successfully quantified.
 This reliability measure is a leading indicator, and the source of
unreliability can be identified.
 Based on lifetime data and the interdependency of different
systems, the overall reliability and the contribution of each
component in the entire system can be calculated.
 It is also shown how time-dependent reliability expressions are
used to study reliability over the life of the system.

 Instead of using time-based maintenance, maintenance
schedules can now be created based on the reliability of
individual train sets.
 Train sets that meet the reliability target can be scheduled
for maintenance less frequently than train sets that do not
meet the target.
 Not only will the availability of train sets be higher, but the
effort of the maintenance department will be focused on the
less reliable train sets.
 This provides a different approach to maintenance
management for ageing rolling stock fleets, and with the
abundance of failure statistics, this method can contribute to
RAMS in rolling stock.
Reliability of Railways

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Reliability of Railways

  • 2.
  • 3.  An effective rail system depends on the seamless integration of a number of complex systems. If one system fails, the whole service can be severely affected.  Reliability, availability, maintainability, and safety (R.A.M.S) are seen as major contributors to the quality of railway service and are well covered in the European standard EN 50126.  This standard recognizes that railway safety and availability are interlinked and are regarded as the most important elements, and they can only be achieved if all the reliability and maintainability requirements are achieved.  The quality of railway service is not only influenced by the four R.A.M.S elements, but also by operations, maintenance, and other factors
  • 4.
  • 5.
  • 6.  The word ‘reliability’ developed from the word ‘rely’, which is defined as a ‘sense of dependence or trust and perhaps has a notion to fall back on’.  It was first used as early as 1816 by the poet Samuel T. Coleridge, who wrote about his friend who inspired everybody around him with “perfect consistency and absolute reliability”.  Since then the concept of reliability has become rather popular, and is used extensively by the general public as well by the technical community.  When used by the technical community, the context and interpretation of the word becomes rather specific, and can deviate substantially from the popular meaning.  There are divergent definitions of ‘reliability’; but one of the more appropriate and recently-used definitions in the context of asset reliability is “the probability that an item will perform its intended function for a specific interval under stated conditions”.
  • 7.
  • 8.  At first glance the definition seems to be self-explanatory, and misinterpretation appears improbable; but stakeholders need to ensure that the extent of intended function, the duration of the specific interval, and the scope of stated conditions are well understood.  Reliability analysis is a systematic approach to analyzing the reliability of systems, identifying and accessing the frequency and causes of failures, and controlling the consequence of failures.  There are many reasons why reliability is important, such as reputation, customer satisfaction, operation and maintenance cost, repeat business, and competitive advantage.  But from a maintenance point of view, reliability will contribute to greater availability, which is particularly important in the context of RAMS.
  • 9.  As part of RAMS, availability is seen as one of the most important reliability performance measures of maintained systems. It is defined that the item must be “in a state to perform the required function under given conditions…”.  The importance of reliability and availability in the rail industry is best described by Milutinovic, who quantifies the influence of reliability on availability. Reliability and availability are often misinterpreted, and in certain cases they are wrongly used as interchangeable terms.  Reliability can be grouped into the reliability of equipment and the reliability of people.  Studies have been done on human factors that include the influence of human reliability on systems.
  • 10.  “Karanikas” concluded that human errors contribute to more than three quarters of the failures during the life of an asset, and added that “expecting to achieve perfection from an imperfect human is unrealistic”.  “Vanderhaegen” describes human behavioral degradation when performing tasks, and system degradation due to human actions.  Without ignoring the importance of human reliability, in this article the focus will be primarily on the reliability of equipment, regardless of the cause of failure.  As stated, reliability is important, but it should not be pursued at any cost. Ultimately, the cost of reliability needs to be weighed against the total combined operation and downtime cost.
  • 11.  Maintenance of industrial equipment is defined by “Pintelon and Gelders” as “all activities necessary to restore equipment to, or keep it in a specified operating condition”.  The objective of maintenance is to maximize equipment availability by improving the reliability of the system through scheduled preventative maintenance, replacements, and inspections (PMRI).  Asset-intensive organizations should recognize the importance of an effective maintenance function.  Sadly, however, in many organizations maintenance is seen as an expense account and not as a value-adding process that is able to increase reliability.
  • 12. “Pham and Wang” realized that not all maintenance activities improve the condition of an item, and categorized maintenance according to the degree to which the operating conditions of an item is restored. They defined the following types of maintenance:  perfect maintenance, which restores the operating condition of the system to as-good as-new;  minimal maintenance, which leaves the condition as-bad-as-old;  imperfect maintenance, which leaves the system somewhere between the bad-as-old and good-as-new condition;  worse maintenance, which causes a system failure rate or actual age increases without breakdown;  worst maintenance, which unintentionally causes a failure or breakdown.
  • 13.  Possible causes identified by “Pham and Wang” as ‘imperfect’, ‘worse’, or ‘worst’ maintenance include repairing the wrong part, partially repairing the fault, replacing with faulty parts, and human error.  It was believed by traditional maintenance practitioners that most failures of equipment were age-related, and a common mistake was to use a single maintenance strategy for all equipment.  Failure models are often used to select the most appropriate maintenance strategies, and most of the six traditional failure curves for ageing equipment can be managed by periodic time- based maintenance activities.  Some failures, however, cannot be prevented even by applying the best maintenance strategy, and these failures need to be predicted using statistical methods. This approach forms the focus of this article.
  • 14.  Many studies have been done on railway reliability and its effects, such as the relationship between reliability and productivity in railroad services, the importance of railway reliability to convince drivers of passenger vehicles to switch to public transport, the effect of unreliability on travel time, overcrowding because of delays and its effect on the productivity and efficiency of workers, and the effect of reliability on the availability of the service.  Railway reliability can be measured in different ways, such as the punctuality of the service, cancellations and delays, and the number of realized connections between trains.  From a passenger perspective, the punctuality of the service is often used as a reliability measure, defined as the probability that the train will arrive at the final destination within a certain margin of the scheduled arrival time.
  • 15.  The average punctuality of some major European metro railroad operators is around 95 per cent, where trains arrive at the final destination within the international margin of five minutes, although some operators use a three-minute margin and still manage a punctuality of around 95per cent.  In South Africa the punctuality of the Metrorail railway system was 84.5 per cent in 2011 based on five minutes, which leaves room for improvement when compared with international benchmarks.  Studies clearly show that reliability is important to railroad companies, and the consequences of unreliability cannot be ignored.  It is also clear that most reliability measures are based on the performance of the rail service, and that they are lagging indicators that cannot be related to the source of the unreliability.  Lagging indicators show how well assets are managed, whereas leading indicators are forward-looking and help to manage the performance of an asset.
  • 16.  Railway signaling system is a safety-related electronic system that is used to ensure the safe operation of railway traffic.  The railway signaling system is the key system to ensure the safe operation of railway traffic.  It is therefore important to have a safe and reliable railway signaling system.  The railway authority defines requirements that should be complied with.  The technical safety report is a vital documentation for the demonstration of fulfillment of requirements to the railway authority.  One important part of this Safety Case is the technical safety report. The technical safety report shall include technical evidence for the safety of the design.
  • 17.  The railway network is a complex and distributed system with several technologies working together to fulfil the demands on capacity, speed and mobility to transport goods and passengers.  The railway system can be divided into different systems depending on functionality, for example, the rolling stock, the track, the power supply, the signaling system, etc.  Railway signaling systems can be considered a group of complex systems that together provide control, supervision and protection of railway operation.  When a failure occurs in the railway signaling system, other safety mitigation measures are put into place to continue railway operation, e.g. reduced speed, with the driver responsible for safe operation.  Briefly stated, failures of the railway signaling system affect both the capacity and safety of the railway.
  • 18.  A failure in a signaling system has economic consequences (penalties, high amount of maintenance resources, etc.), can affect operation (delays, cancellations, speed restrictions, etc.), and have safety consequences.  With a failed signaling system, a driver will operate in a degraded mode, with safety assured by other mitigation measures, such as low speed restrictions. The possibility of operating in a degraded mode reduces the economic and operational effects of a failure of the signaling systems, but makes it more difficult to evaluate the railway operation, since a failure will not necessarily be visible when considering the delays or cancelations, even though safety has been compromised.  Furthermore, the probability of being operative in a degraded mode is not easily measurable, as it is not directly linked to the number of failures and delays.
  • 19.
  • 20.  Maintenance management of signaling systems is challenging, given the amount of information needed to perform good preventive and corrective maintenance.  The lack of proper data can lead to incorrect failure identification, which, in turn, means more time spent on corrective maintenance and lower system availability.  Maintenance support performance can be improved through configuration management applied to the item structure or the organization providing maintenance.  The item structure takes care of the items that are part of the system; meanwhile, the organization providing maintenance defines the structure of the human resources that are needed to perform the maintenance.
  • 21.
  • 22.  The presence of many different stakeholders running the maintenance and operation aspects of the railway network requires good knowledge transfer. Each stakeholder has different knowledge and needs, but they all work on the same railway system.  When maintenance activities are outsourced, there is a risk of losing the knowledge required to perform these activities.  It can be difficult to find a company with the required knowledge, or to study the effects on maintenance of a change in the infrastructure design.  The knowledge transfer of best practices between different stakeholders can provide benefits to all of them. Better efficiency of maintenance activities can be achieved by taking advantage of the available maintenance knowledge, thus contributing to time and costs savings.
  • 23. The methodology is now demonstrated by means of a case study, where the reliability of rolling stock at Metrorail (a subsidiary of the Passenger Rail Service of South Africa (PRASA)) was modelled. Metrorail operates an ageing fleet of trains, some in operation since 1958, and they predominantly make use of cancellations and delays as reliability measures for their fleet.
  • 24.  Metrorail defines a motor coach (MC) as a powered rail vehicle able to pull unpowered passenger trailers (PT) and also able to transport passengers.  A typical Metrorail train set consists of nine PTs and three MCs, with an MC in the middle and at each end of the train set.  The contribution of PTs towards the reliability of a train set is insignificant compared with the contribution of the MCs.  Thus, for the purpose of this article, the train set is represented by three MCs only.  An MC consists of various sub-systems, configured in series and parallel.
  • 25. Although the subsystems have several components, a basic model was constructed demonstrating the interaction of four different sub- systems. Although a risk analysis, based on the impact and probability of occurrence, would have been more effective in identifying the components within each sub-system, the approach in this study is to construct a basic model where each sub-system is represented by a single component. The reasons for specifically selecting these components for the MC model are:  each component is the main component in the respective sub- system;  the components are either an electric motor or driven by an electric motor;  these combined components contribute to more than 60 per cent of cancellations and delays of rolling stock at Metrorail;  these components are serialized, repaired by Metrorail, and the failure data is available.
  • 26. Detail of the selected components is listed in Table 3, where the number of components required to survive in either an MC or a train set is indicated. The RBD of an MC is shown in Figure 5, which show the inter-relationship of the components and the redundancy.
  • 27.  Methods for the dependability and safety evaluation of railway signaling systems4 Figure 1: RBD of a signaling system. The various systems, such as track circuits or level crossings, provide input to interlocking systems and radio block center systems (RBC). Interlocking systems receive information, process it and make new restrictions on system components.  For example, they can provide information to onboard signaling systems through the GSM-R system. The onboard signaling system is composed of a centralized computer that processes the different inputs, giving supervision during the train’s operation.  An odometry system constantly measures the speed and acceleration of the train. The balise antenna reads the information from the balises placed on the track. The man-machine interface allows the driver to interact with the onboard computer.
  • 28.  Most of the components are connected in series on an MC with redundancy only in the traction motors (TMs). The TMs are best described as a balanced k-out-of-n system represented by a series-parallel system, where each bogie on the MC is represented by two TMs in series. AN MC needs to have at least two TMs operating in series, which means that the failure of one TM will shut down the other TM on the same bogie.  By making use of equations (1), (2) and with individual reliabilities for each component, the reliability of the TM sub-system can be calculated as where R=Reliability, R1=Reliability of TM1, R2 = Reliability of TM2, etc.
  • 29.  The RBD for a train set consisting of three MCs is shown in Figure 6. It can be seen that more redundancy is present in this configuration than in a single MC. The power generation, vacuum, and compressed air systems are best described as k-out-of-n systems, where two out of three sub-systems are required to be operational for the system to be functional.
  • 30.  The data represents nearly 200 MCs of the 5M-type train. It was reported by Metrorail that the data is incomplete, as the FMMS was not operating at times. Thus the assumption is made that the available data represents the real situation.  For the purpose of this article, three MCs were selected with the worst failure data during the observation period.  For the sake of simplicity, failure data was limited to the replacement of components only – that is, perfect maintenance – ignoring any maintenance done in between the replacements.  All components have one or more truncated failure observations (also called suspensions), where the last failure data points of the data set are not failures, but merely the end or beginning of the observation period.
  • 31.
  • 32.
  • 33.  Based on the results presented in this article, it can be concluded that system reliability for rolling stock in the rail environment can be successfully quantified.  This reliability measure is a leading indicator, and the source of unreliability can be identified.  Based on lifetime data and the interdependency of different systems, the overall reliability and the contribution of each component in the entire system can be calculated.  It is also shown how time-dependent reliability expressions are used to study reliability over the life of the system. 
  • 34.  Instead of using time-based maintenance, maintenance schedules can now be created based on the reliability of individual train sets.  Train sets that meet the reliability target can be scheduled for maintenance less frequently than train sets that do not meet the target.  Not only will the availability of train sets be higher, but the effort of the maintenance department will be focused on the less reliable train sets.  This provides a different approach to maintenance management for ageing rolling stock fleets, and with the abundance of failure statistics, this method can contribute to RAMS in rolling stock.