a) In case where one of each components in the system must work, means that components are arranged in series. If the components are arranged in series, calculate reliability of the entire system using the following formula:
R n represents the reliability of n th component in the system.
In this case, the system has three components, one with reliability of 0.94, another with reliability 0.80, and another with reliability of 0.95.
Therefore, calculate total reliability of the system as follows:
Therefore, the system is 71.4% reliable.
b) If the components are arranged in parallel, calculate the reliability of the entire system using the following formula:
R n represents the reliability of n th component in the system. If the Y component is replaced with two Y components in parallel, then calculate reliability of the system as follows:
Thus, the system is 85.7% reliable.
The management functions of planning, organizing, leading and controlling are related to the engineering design process
Every project has to be divided into phases and placed into a project schedule.
Every step of the project is planned out in advance to get an idea about the project completion time and the costs associated with the project.
Along with planning, all the resources required to move the project along every phase of the schedule, have to be organized.
Once an organized plan is in place, the manager will have to lead the team to accomplish the objectives of each phase of the project. The manager has to delegate the responsibilities and motivate the team members to work collectively towards a common goal.
Every phase of the project necessarily has to be controlled by the manager in charge of that particular phase. To move past a phase, the plan will most likely require the achievement of certain quantitatively defined goals. For these goals to be met, the manager will have to set up control systems to keep the progress of the project in check. For example, the manager will have to control the expenditures required to complete the project along with the performance, reliability and overall quality level of the resulting product created by the project.
MTBF stands for Mean Time between Failures. MTBF is equal to the reciprocal of the hazard rate.
MTBM stands for Mean Time between Maintenance. It is the average time between maintenance actions.
MDT stands for Mean down Time. It is the average total time of the three components of the maintenance. The three components include administrative and preparation time, logistics time and active maintenance time.
MTTR stands for Mean Time to Repair. It is the active maintenance time for corrective maintenance.
The question specifies the following:
Hazard Rate = 0.01 failure per hour
MTBM = 6 hours
MDT = 20 hours
MTTR = 6 hours
Therefore, MTBF is 100 hours.
Inherent availability (A i ) of a system considers only corrective maintenance in an ideal support environment.
The inherent availability of a system is given by the following formula.
The inherent availability of the system is 94.3%.
Operational availability considers both preventive and corrective maintenance conducted in actual support environment.
The operational availability of a system is given by the following formula.
The inherent availability of the system is 75%