Reliability Analysis of Projection System and Risk Assessment

This assignment addresses reliability analysis within the context of a lecture environment at Trebor Snodrog University. The student calculates the reliability of a projection system, considering its lamp, internal electronics, and power connection, using failure rates and reliability block diagrams. The assignment also includes Failure Mode and Effects Analysis (FMEA) for braking and drivetrain systems, identifying the most risk-prone components. A fault tree analysis is constructed to identify potential failure pathways. Furthermore, the assignment explores non-equipment failures, such as lecturer health issues and control system button failures, proposing risk assessment and mitigation strategies. Finally, the student discusses the human component of control panel button failure and recognizes potential lecture disruptions, categorizing them as emerging risks.

Running head: RELIABILITY ANALYSIS
RELIABILITY ANALYSIS
Name of the Student
Name of the University
Author Note

1RELIABILITY ANALYSIS
Task T1:
The projection system is comprised of Lamp (L), internal electronics (I) and connection to
mains power (C). The reliability blocks will be connected in series as failure of any
component implies the failure of total projection system.
The failure rate per hour of the projector lamp as calculated in excel is given by the formula
Failure rate per hour = 1/MTTF
MTTF = mean time between failure = total hours of operation/total number of units failed =
405.989 (correct up to 3 decimal places).
Here, MTTF is considered instead of MTBF (mean time between failures) as bulbs are not
repaired or replaced during the test of 1200 lamps in 1000 hours.
Hence, Failure rate per hour = 1/405.989 = 0.002 (correct up to 3 decimal places).
The failure rates of Internal electronic per hours is 0.00015 and the failure rate of mains
power cable is 0.00010.

2RELIABILITY ANALYSIS
Figure: Reliability block diagram of entire system
Now, the reliability of the system is calculated by the following procedure.
The probability of failure of system = (((0.00005 + 0.00018)*0.00008*0.00008 +
0.00005*0.00008*(0.0003+0.0005*0.001)*0.00008 + 0.00005)*0.00002*0.0001*0.00008 +
0.0001)*0.00015*0.002 = 3*10^(-11)
Reliability of the system = 1 – Probability of failure of the system = 1 - 3*10^(-11) ~1.
Hence, the reliability of the system is almost equal to 100%.
It is assumed in the failure rate calculation that the lamps are not replaced or repaired in the
actual projection system like the conditions of testing phase.
Task T2:

3RELIABILITY ANALYSIS
The components in the first system are given below.
Surname A-M: Braking system, Drivetrain system, Bell
FMEA table:
FAILURE MODE & EFFECTS ANALYSIS (FMEA)
Failure Mode A) Severity
Rate 1-10
10 = most
severe
B) Probability
of Occurrence
Rate 1-10
10 = highest
probability
C) Probability
of Detection
Rate 1 – 10
10 = Lowest
probability
Risk Preference
Number (RPN)
A X B X C
Braking system
failure
9 3 8 216
Drivetrain
system failure
8 5 3 120
Bell not
working
4 8 1 32
Hence, in this system the most risk preferred component is the braking system.
The components of second system are given below.
Surname N-Z: Braking system, Wheels, Tyres and tubes system and lights.
FMEA table:
FAILURE MODE & EFFECTS ANALYSIS (FMEA)
Failure Mode A) Severity B) Probability
of Occurrence
C) Probability
of Detection
Risk Preference
Number (RPN)

4RELIABILITY ANALYSIS
Rate 1-10
10 = most
severe
Rate 1-10
10 = highest
probability
Rate 1 – 10
10 = Lowest
probability
A X B X C
Braking system
failure
9 3 8 216
Wheels failure 6 5 6 180
Tyres and tubes
system
6 6 7 252
Lights system 2 6 2 24
Hence, in the system also the most risk preferred component is the braking system.
Task T3:
The fault tree is constructed as given below.

5RELIABILITY ANALYSIS
Task T4:

6RELIABILITY ANALYSIS
The two non-equipment failures factors that are selected are lecturer’s health issue during
lecture and control system buttons failure. The former causes is likely to happen and the latter
can happen due to inappropriate or excessive use of control panel buttons. The task risk
assessment is performed and given by the following table.
Non-equipment Risk Degree risk
10 = highest priority
Task control
measures
Action plan
Lecturer’s health 9 The measure for this
risk can be providing
short intervals of
break to the lecturer
in the whole lecture.
Furthermore, the
action plan which
can be taken is to
make the room for
lecture comfortable
for everyone and to
provide short snacks
to the lecturer during
the lecture
Control panel
buttons failure while
usage
7 The measure for this
lecture is to use
remotes to control
the panel as this will
reduce the usage of
the buttons.
Now, the action plan
for this risk can be to
provide one remote
to lecturer and
covering the buttons
of the control panel
so that those are not
directly available to
the lecturer.

7RELIABILITY ANALYSIS
Task T5:
The human component of control panel buttons failure is the cause of forced used of buttons
by lecturer or excessive use of the buttons. If this risk is identified then it can effectively
managed by using remote controlled device to control the control panel of the system
remotely. Thus this will reduce the usage of the control panel buttons.
Task T6:
In this assignment the risks are broadly classified into failures of projection system, control
panel, computer based unit and Laptop system failure risks. There is another risk that may
arise as a significant risk for disruption of lecture is the power cut due to fuse failure in the
mains circuit board. This is caused of the supply current suddenly becomes large due to
sudden spike from distribution station or generating station. This is one of the most relevant
of the three recognised categories of emerging risk.